---
type: Whitepaper
title: "ACIDRain: Concurrency-Related Attacks on Database-Backed Web Applications"
description: ACIDRain formalizes attacks that send concurrent web or API requests to exploit weak database isolation or incorrect transaction use. Its language-agnostic 2AD analysis reasons over database-access traces and found 22 verified inventory, gift-card, and purchasing vulnerabilities across twelve e-commerce applications.
resource: "https://www.bailis.org/papers/acidrain-sigmod2017.pdf"
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    title: "ACIDRain: Concurrency-Related Attacks on Database-Backed Web Applications"
    author: Todd Warszawski, Peter Bailis
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  - Peter Bailis
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# ACIDRain: Concurrency-Related Attacks on Database-Backed Web Applications

**ACIDRain: Concurrency-Related Attacks on Database-Backed Web Applications** - Todd Warszawski, Peter Bailis, Stanford InfoLab.

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## Content

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ACIDRain: Concurrency-Related Attacks on
                            Database-Backed Web Applications

                                                                  Todd Warszawski, Peter Bailis
                                                                                   Stanford InfoLab




ABSTRACT
                                                                                                       1   def withdraw(amt, user_id):          (a)
In theory, database transactions protect application data from cor-
                                                                                                       2     bal = readBalance(user_id)
ruption and integrity violations. In practice, database transactions
                                                                                                       3     if (bal >= amt):
frequently execute under weak isolation that exposes programs to
                                                                                                       4       writeBalance(bal − amt, user_id)
a range of concurrency anomalies, and programmers may fail to
correctly employ transactions. While low transaction volumes mask
many potential concurrency-related errors under normal operation,
determined adversaries can exploit them programmatically for fun                                      1    def withdraw(amt, user_id):          (b)
and profit. In this paper, we formalize a new kind of attack on                                       2      beginTxn()
database-backed applications called an ACIDRain attack, in which                                      3      bal = readBalance(user_id)
an adversary systematically exploits concurrency-related vulnerabil-                                  4      if (bal >= amt):
ities via programmatically accessible APIs. These attacks are not                                     5        writeBalance(bal − amt, user_id)
theoretical: ACIDRain attacks have already occurred in a handful                                      6      commit()
of applications in the wild, including one attack which bankrupted
a popular Bitcoin exchange. To proactively detect the potential for                             Figure 1: (a) A simplified example of code that is vulnerable to
ACIDRain attacks, we extend the theory of weak isolation to analyze                             an ACIDRain attack allowing overdraft under concurrent ac-
latent potential for non-serializable behavior under concurrent web                             cess. Two concurrent instances of the withdraw function could
API calls. We introduce a language-agnostic method for detecting                                both read balance $100, check that $100 ≥ $99, and each allow
potential isolation anomalies in web applications, called Abstract                              $99 to be withdrawn, resulting $198 total withdrawals. (b) Ex-
Anomaly Detection (2AD), that uses dynamic traces of database                                   ample of how transactions could be inserted to address this er-
accesses to efficiently reason about the space of possible concurrent                           ror. However, even this code is vulnerable to attack at isolation
interleavings. We apply a prototype 2AD analysis tool to 12 popular                             levels at or below Read Committed, unless explicit locking such
self-hosted eCommerce applications written in four languages and                                as SELECT FOR UPDATE is used. While this scenario closely re-
deployed on over 2M websites. We identify and verify 22 critical                                sembles textbook examples of improper transaction use, in this
ACIDRain attacks that allow attackers to corrupt store inventory,                               paper, we show that widely-deployed eCommerce applications
over-spend gift cards, and steal inventory.                                                     are similarly vulnerable to such ACIDRain attacks, allowing
                                                                                                corruption of application state and theft of assets.
1.      INTRODUCTION
   For decades, database systems have been tasked with maintaining                              to configure the database isolation level but often default to non-
application integrity despite concurrent access to shared state [39].                           serializable levels [17, 19] that may corrupt application state [45].
The serializable transaction concept dictates that, if programmers                              Moreover, we are unaware of any systematic study that examines
correctly group their application operations into transactions, appli-                          whether programmers correctly utilize transactions.
cation integrity will be preserved [34]. This concept has formed the                               For many applications, this state of affairs is apparently satisfac-
cornerstone of decades of database research and design and has led                              tory. That is, some applications do not require serializable transac-
to at least one Turing award [2, 40].                                                           tions and are resilient to concurrency-related anomalies [18, 26, 48].
   In practice, the picture is less clear-cut. Some databases, in-                              More prevalently, many applications do not experience concurrency-
cluding Oracle’s flagship offering and SAP HANA, do not offer                                   related data corruption because their typical workloads are not highly
serializability as an option at all. Other databases allow applications                         concurrent [21]. For example, for many businesses, even a few trans-
                                                                                                actions per second may represent enormous sales volume.
Permission to make digital or hard copies of all or part of this work for personal or              However, the rise of the web-facing interface (i.e., API) leads
classroom use is granted without fee provided that copies are not made or distributed           to the possibility of increased concurrency—and the deliberate ex-
for profit or commercial advantage and that copies bear this notice and the full citation
on the first page. Copyrights for components of this work owned by others than the              ploitation of concurrency-related errors. Specifically, given a public
author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or          API, a third party can programmatically trigger database-backed
republish, to post on servers or to redistribute to lists, requires prior specific permission   behavior at a much higher rate than normal. This highly concur-
and/or a fee. Request permissions from permissions@acm.org.
                                                                                                rent workload can trigger latent programming errors resulting from
SIGMOD’17, May 14-19, 2017, Chicago, IL, USA
                                                                                                incorrect transaction usage and/or incorrect use of weak isolation
© 2017 Copyright held by the owner/author(s). Publication rights licensed to ACM.
ISBN 978-1-4503-4197-4/17/05. . . $15.00
                                                                                                levels. Subsequently, a determined adversary can systematically
                                                                                                exploit these errors, both to induce data corruption and induce un-
DOI:    http://dx.doi.org/10.1145/3035918.3064037
desirable application behavior. For example, the code in Figure 1               programming frameworks (e.g. Ruby on Rails). As a result, an anal-
demonstrates a simple withdrawal function that checks whether a                 ysis tool that operates on a per-language basis will have inherently
user has sufficient funds in their bank account. In Figure 1a, the              limited applicability. Instead, we exploit the fact that our target
code could exhibit anomalous behavior under concurrent execution,               applications are all web-based and database-backed. We analyze
allowing the account to be overdrawn. Moreover, even after adding               actual SQL traces (i.e., logs) using a new approach called Abstract
transaction logic as in Figure 1b, concurrent execution could elicit            Anomaly Detection (2AD). 2AD efficiently identifies potential level-
the same behavior under weak isolation.                                         based and scope-based anomalies that could arise from concurrently
   These latent programming errors represent a potential security               (re-)executing a set of API calls appearing in a given trace. This
vulnerability, and the threat of systematic exploit is not theoretical:         search space is enormous. Therefore, to enable efficient search, we
on March 2nd, 2014, the Flexcoin Bitcoin exchange was subject to                extend the theory of weak isolation [17] to reason about both API
such a concurrency-related attack:                                              calls and about re-executions. 2AD uses this theory to construct
                                                                                an abstract history that can be efficiently checked, representing the
       The attacker. . . successfully exploited a flaw in the code
                                                                                infinite space of concurrent schedules in a finite data structure.
       which allows transfers between Flexcoin users. By
                                                                                   Using 2AD analysis, we perform an audit of 12 popular self-
       sending thousands of simultaneous requests, the at-
                                                                                hosted eCommerce platform applications, several of which are com-
       tacker was able to “move” coins from one user account
                                                                                mercially supported, written in four languages using four different
       to another until the sending account was overdrawn,
                                                                                frameworks. We explore three attacks targeting invariants common
       before balances were updated. This was then repeated
                                                                                to most eCommerce applications: attacks that allow users to steal
       through multiple accounts, snowballing the amount,
                                                                                items during checkout, to reuse gift cards to receive free items, and
       until the attacker withdrew the coins [1].
                                                                                to corrupt store inventory ledgers. Using 2AD, we detect 22 new
As a result of this attack, all Bitcoins stored in the Flexcoin exchange        ACIDRain attacks. For example, in Magento [6], OpenCart [7], and
were stolen, all users lost their stored Bitcoins, and the exchange             Oscar [8], users can buy a single gift card, then spend it an unlimited
was forced to shut down. This type of incident is not isolated; we are          number of times by concurrently issuing checkout requests. The
aware of several additional reports of malicious concurrency-related            total scope of the vulnerabilities we discover spans approximately
attacks, largely targeting Bitcoin and cryptocurrency exchanges [51,            2M websites that use this software today, representing over 50% of
55]. As web applications increasingly host valuable and sensitive               all eCommerce websites (Section 4.2.1).
data, attacks such as these may even become more common.                           We subsequently discuss strategies for remediating these attacks
   In this paper, we investigate the causes, detection, and prevalence          and discuss our experiences reporting these vulnerabilities to de-
of concurrency-related attacks on database-backed web applications,             velopers, who have confirmed several thus far. We evaluate which
which we collectively title ACIDRain attacks.1 We more formally                 databases provide sufficiently strong isolation guarantees to prevent
define ACIDRain attacks, develop an analysis technique for de-                  these attacks. Of the 22 vulnerabilities, 17 occur due to incorrect
tecting vulnerabilities to ACIDRain attacks, and apply this tech-               transaction usage and are therefore not preventable without substan-
nique to a set of self-hosted eCommerce applications, identifying               tial code modification. We investigate common program behavior
22 vulnerabilities spanning over 2M websites. All 22 vulnerabilities            among vulnerable and non-vulnerable code paths and present con-
manifest under the default isolation guarantees of popular transac-             structive strategies for preventing attacks.
tional databases including Oracle 12c, and 17 vulnerabilities—due                  The remainder of this paper proceeds as follows. Section 2 defines
to incorrect transaction usage—manifest even under the strongest                ACIDRain attacks. In Section 3, we develop and formally motivate
transactional guarantees offered by these databases.                            the 2AD analysis theory. Section 4 describes our experiences detect-
   To begin, we define a threat model for ACIDRain attacks. We                  ing and exploiting real vulnerabilities in eCommerce applications.
consider attacks that trigger two kinds of anomalies, or behaviors              Section 5 discusses related work, and Section 6 concludes.
that could not have arisen in a serial execution. First, if the da-
tabase does not provide the application with serializable isolation
(either because the database is not configured to do so or the da-              2.    ACIDRain ATTACKS
tabase does not support serializability), then concurrently-issued                In this section, we define ACIDRain attacks more precisely and
transactions may lead to non-serializable behavior. We call these               describe the threat model we consider in this paper.
races due to database-level isolation level settings level-based isola-         Target Environment. We focus on attacks on web applications—
tion anomalies. Second, if the application does not correctly scope,            applications that expose functionality to third-parties via program-
or encapsulate, its logic using transactions, concurrent requests to            matically accessible APIs, both over the Internet and via related
the application may lead to behavior that would not have arisen                 protocols such as HTTP and REST. This applies to every website
sequentially. We call these races due to application-level transaction          on the Internet. Our primary property of interest is that it must be
specification scoping isolation anomalies. The the impact of each               possible to programmatically trigger API calls.
of these types of anomalies is application-dependent. As a result,                 We are specifically interested in web applications that use databases
we examine a specific class of applications in this paper: popular              to mediate concurrent access to state. A web application that ex-
eCommerce platforms, such as OpenCart [7], Spree Commerce [15],                 ecutes requests serially is not subject to the attacks we consider
and WooCommerce [16].                                                           here; however, concurrent request processing is common among
   We use this threat model to develop a cross-language analysis                web servers including Apache and Nginx. We consider transactional
methodology to detect potential ACIDRain attacks. Web applica-                  databases that allow users to group their operations into transactions
tions are written in a variety of languages and using a variety of              consisting of ordered sequences of operations [43]. The database in
1 Like acid rain in the Earth’s atmosphere, ACIDRain attacks may be difficult   turn provides varying isolation guarantees regarding the admissible
to detect; an ACIDRain attack manifests in the form of regular API calls        interleavings of operations across transactions [17].
and resulting application and database activity, albeit at elevated levels of
concurrency. This elevated concurrency triggers vulnerabilities resulting       Attack Definition. We define an ACIDRain attack on a database-
from incorrect use of ACID transactional databases, leading to corrupted        backed web application as an exploit allowing an attacker to elicit
data and/or more serious application compromise (e.g., stolen goods).           undesirable application behavior by issuing concurrent requests to
trigger non-serializable access to database-managed state. There                                                                 2. SQL logging
                                                                                          1. Public API calls                          (§3.1.1)
are several salient characteristics of this formulation. First, we are
                                                                                                                                  SELECT stock FROM
interested in errors arising from access to database-managed state;              Application                                      product WHERE

                                                                                 API                       Transactional          item_id=2; 2 SELECT
we do not consider vulnerabilities that may arise due to access to                                                                amt FROM cart_items

                                                                                 Server                    Database               WHERE cart_id=14 AND
state that is unknown to the database (e.g., a local file). Furthermore,                                                          item_id=2; INSERT INTO


we are interested in errors arising from concurrent access; we do
not consider vulnerabilities that may arise during sequential access                ! " # 6. ACIDRain attack (§4)
(e.g., failure to check permissions). Finally, the severity of an attack
                                                                                1: PUT /api/add
                                                                                                          1: PUT /api/add
is application-specific; some concurrent behaviors may be benign,               3: PUT /api/checkout
                                                                                                          2: GET /api/total
                                                                                2: PUT /api/add
                                                                                                          3: PUT /api/checkout
while others may be catastrophic. These characteristics shaped our                                        1: PUT /api/add
                                                                                                          3: PUT /api/add
problem formulation below. An application is vulnerable to an
                                                                                                                                  3. Abstract history
ACIDRain attack if two conditions are met:                                   5. Witness refinement                                    generation
                                                                                      (§3.1.4)
                                                                                                        4. Witness generation
                                                                                                                  (§3.1.3)                (§3.1.2)
C1: Anomalies possible. Under concurrent API access, the appli-
cation may exhibit behaviors (i.e., anomalies) that could not have
arisen under a serial execution.                                                Figure 2: 2AD workflow to discover ACIDRain attacks.
   A concurrency-related attack arises in the presence of behaviors
that could not have occurred under a serial execution. These be-              To detect an application’s vulnerability to ACIDRain attacks, we
haviors are effectively race conditions across concurrent operations,      must identify potential anomalies, then determine whether applica-
or, in the parlance of transaction processing, anomalies [17]. We          tion invariants are susceptible to the anomalies. Towards the former
consider two kinds of anomalies:                                           task, in the next section, we present a cross-platform methodology
   First, a transaction issued by a web application may exhibit non-       (based on analysis of traces of live database activity) that automati-
serializable behavior during concurrent API calls. That is, while          cally identifies potential isolation anomalies. Determining invariants
the gold standard of transaction isolation (serializable isolation)        is more complicated, requiring either user interaction, invariant min-
guarantees equivalence to some serial execution of transactions, not       ing, or program analysis [32, 33]. As a result, in this paper we
all databases will enforce serializability. Some databases do not          focus on a specific, concrete set of invariants found in eCommerce
provide serializability as an option at all, while others allow appli-     applications and examine a set of popular eCommerce applications
cations to select a weaker isolation mode [17, 19]. Under weaker           to determine their susceptibility to attacks on these key invariants.
isolation levels, transactions are subject to an array of behaviors that
                                                                           Threat model. We assume that an attacker can only access the
cannot occur under serial execution, the exact set of which depends
                                                                           web application via concurrent requests against publicly-accessible
on the particular isolation level and database [17]. We call these
                                                                           APIs (e.g., HTTP, REST). That is, to perform an ACIDRain attack,
conventional isolation anomalies level-based isolation anomalies
                                                                           the attacker does not require access to the application server, data-
as they arise due to the database executing under non-serializable
                                                                           base server, execution environment, or logs. Our proposed analysis
isolation levels.
                                                                           techniques (Section 3) use full knowledge of the database schema
   Second, independent of the isolation level used, the transaction
                                                                           and SQL logs, but, once identified, an attacker can exploit the vul-
programming model requires the application to correctly encap-
                                                                           nerabilities we consider here using only programmatic APIs.2 This
sulate its logic within transactions. In the absence of explicit
                                                                           threat model applies to most Internet sites today.
BEGIN TRANSACTION and COMMIT/ABORT commands, by default,
many databases such as MySQL and PostgreSQL automatically
execute each SQL operation as a separate transaction. As a result,         3.     2AD: DETECTING ANOMALIES
if a web application performs multiple database operations with-              ACIDRain attacks stem from anomalies that occur during con-
out using transactions while servicing a single API request, then          current execution. Detecting these anomalies is challenging. Many
concurrent API requests may result in behavior that could not have         potential anomalies are never triggered under normal operation due
arisen during a serial execution of API calls. We call these isolation     to limited concurrency, rendering simple observation ineffective.
anomalies arising from a lack of transactional encapsulation scope-        We could use static analysis tools [50] to analyze an application’s
based isolation anomalies. In this paper, we consider scoping at the       susceptibility to attacks. However, web applications are written
level of individual API calls.                                             using a variety of frameworks and languages. As a result, static
  Given a set of isolation anomalies, we must determine whether            analysis tools would necessarily have limited applicability.
any of these anomalies result in significant application behavior:            To address these challenges, we developed a new, cross-platform
                                                                           methodology for detecting potential level-based and scope-based
C2: Sensitive invariants. The anomalies arising from concurrent            anomalies in web applications by analyzing logs of typical database
access lead to violations of application invariants.                       activity. We call this approach Abstract Anomaly Detection (2AD).
   In general, per Kung and Papadimitriou [45], every anomaly is           Figure 2 shows an overview of the 2AD workflow.
problematic for some application; however, for a given application,        Overview. The core idea behind 2AD is to execute API calls
is a given anomaly problematic? Again borrowing from the classical         against a live application and database to generate a (possibly se-
transaction processing literature, we capture key application proper-      quential) trace of database activity, then analyze the trace for po-
ties via invariants, or logical predicates capturing an application’s      tential anomalies that could arise under concurrent execution. This
consistency criteria [34]. For example, an application might have          approach leverages the facts that our target applications all i.) expose
an invariant that user IDs within a database are unique. Another           API endpoints (e.g., via HTTP) that can be triggered programmati-
application might specify that total revenue equals the sum of total
                                                                           2 That is, to efficiently identify vulnerabilities, our analysis makes use of
orders placed. Each invariant is susceptible to violation under a
particular set of anomalies.                                               non-public information in the form of database logs (e.g. SQL traces) and
                                                                           database schemas. However, the vulnerabilities themselves can be exploited
                                                                           without this private knowledge.
cally and ii.) are backed by a SQL database, allowing a common log-
                                                                               1   def add_employee(first , last ) :               (a)
ging environment. The analysis determines whether (re-)executing
                                                                               2     beginTxn()
API requests concurrently might yield anomalies, subsequently re-
                                                                               3     count = readCount(’employee’)
porting the database tables and API calls that are susceptible to
                                                                               4       .whereFirstName( first ) .whereLastName(last)
anomalies and that could be used in an ACIDRain attack.
                                                                               5     if count == 0:
   While conceptually simple, this dynamic analysis, which we de-
                                                                               6       write ( ’employee’, first , last , 0)
scribe in detail in the remainder of this section, requires considerable
                                                                               7     commit()
work to achieve for two primary reasons:
   First, existing models for database isolation reason about anoma-
                                                                              8    def raise_salary (amt):
lies in a particular concurrent execution (i.e., a history [17, 25]). In
                                                                              9      write ( ’employee’) . incrementSalary(amt)
contrast, we want to know whether anomalies are possible under
                                                                             10      beginTxn()
any potential concurrent execution of a group of transactions gener-
                                                                             11      count = readCount(’employee’)
ated by (possibly serial) API calls. Thus, we must generalize from
                                                                             12      write ( ’ salary ’ ) .updateTotal(count ∗ amt)
concrete traces (Section 3.1.1) to possible concurrent interleavings
                                                                             13      commit()
of the operations in those traces, which we call trace expansions.
Expansions allow API calls to be repeated, possibly with differ-
ent inputs; thus, the set of expansions is infinite. We develop a             1    BEGIN TRANSACTION                                         (b)
new approach to simultaneously reason about all possible expan-               2    SELECT COUNT(∗) FROM employees WHERE
sions. We introduce the concept of an abstract history, a finite graph                 first_name=’John’ AND last_name=’Doe’
representing all expansions of a given trace (Section 3.1.2). We              3    INSERT INTO employees (first_name, last_name,
provide a mechanism to “lift” a concrete trace to its corresponding                    salary) VALUES (’John’, ’Doe’, 50000)
abstract history and prove the equivalence of anomaly detection over          4    COMMIT
                                                                              5    UPDATE employees SET salary=salary+1000
the lifted abstract history and over the entire space of expansions           6    BEGIN TRANSACTION
(Section 3.1.3).                                                              7    SELECT COUNT(∗) FROM employees
   Second, to detect scope-based anomalies, we need to reason                 8    UPDATE salary SET total=total+3000
about behavior across transactions within the same API call. To do            9    COMMIT
so, we extend Adya’s theory of transaction isolation [17] to allow
reasoning about API calls (Section 3.1.3). Roughly, this corresponds       Figure 3: (a) Simplified code corresponding to two functions:
to adding API “supernodes” to the transaction conflict graph and           one to add a new employee if the first and last names are unique
our abstract history. We subsequently extend Adya’s theory of weak         (add_employee, lines 1-7) and one to give a raise to all employ-
transaction isolation to allow refinement of possible anomalies in         ees and record the new total cost of all salaries. (raise_salary,
abstract histories, including API calls (Section 3.1.4).                   lines 8-13). (b) A sample SQL database log from using the func-
   As we discuss in Section 3.1.3, 2AD is complete with respect            tions in (a) to add a third employee, “John Doe,” to the database
to the trace: if there is a potential anomaly in a trace expansion,        and then give all employees a raise of 1000.
2AD will find it. 2AD will also provide a corresponding witness, or
concrete trace, demonstrating non-serializable behavior. However,          which each read and write operation acts.3 In the next section, we
depending on the isolation level of the database and execution envi-       describe how to use this trace as a “seed” for, in effect, simulating
ronment of the application (e.g., due to application-level locking),       the execution of all possible concurrent API calls.
some anomalies are impossible to trigger. Thus, 2AD leverages an              In practice, logs may contain commands interleaved from con-
witness refinement step (Section 3.1.4) to reduce false positives.         current API calls. Thus, we require that each command logged be
   In the remainder of this section, we provide intuition and algo-        associated with the specific API call that generated it. This asso-
rithms for performing 2AD. We provide a detailed formalism for             ciation can be obtained in a variety of ways; one of the simplest
2AD (including proofs) in Appendix A. We describe trace generation         approaches is to match the timestamp of the log with the timestamp
in Section 3.1.1, abstract history lifting in Section 3.1.2, anomaly       of the API call.
detection in Section 3.1.3, witness refinement in Section 3.1.4, and          Figure 3a shows a simple example payroll application implement-
the benefits and limitations of the 2AD approach in Section 3.2.           ing functionality to add an employee (who has a first name, last
                                                                           name, and yearly salary) to a database, along with functionality
3.1     2AD Concepts and Procedures                                        for giving a raise to all employees and recording the new total cost
                                                                           of all employee salaries. We will use this as our running example
3.1.1     Trace Generation                                                 throughout this section. Figure 3b shows logs that could result from
   2AD uses traces of normal application behavior to identify po-          executing these two functions serially. While simple, this example
tential non-serializable expansions. Given that web applications           highlights similar problems to those we have encountered in the
are written in a number of languages and frameworks, we gather             more complex applications that we discuss in Section 4.
traces (logs) from the database rather than the application. These
logs can be generated from normal activity, or generated for the           3.1.2     Abstract History Generation
explicit purpose of anomaly detection. For example, to check for              Given a concrete trace generated by API calls, we determine
anomalies in the checkout process of an eCommerce application,             whether concurrently executing a set of calls to the same APIs might
a 2AD penetration tester could add items to the store cart, provide        result in non-serializable behavior. The primary challenge here
address and payment details, then place an order.                          3 As we are interested in database traces in SQL, we must reason about
   From the database logs, we extract the sequence of transactions         operations over sets of database records. Adya [17] provides a detailed
generated by each API call. At a high level, each transaction consists     discussion of predicate-based operations that operate over sets; we adopt
of a sequence of read and write operations in the database; we             his formalism by modeling predicate-based read and write operations that
extract this sequence as well as the variables (e.g., columns) upon        pertain to multiple records as single operations.
                                                    add_employee

                                      2 r(employees)               3 w(employees)               w


                                                          r
                                                               w                   r

                                                                    raise_salary

                       w             5 w(employees)                    7 r(employees)            8 w(salary)                w



Figure 4: The abstract history corresponding to the trace in Figure 3b. Solid ellipses correspond to operations, dashed rectangles
to transactions, and dotted rectangles to API calls. Edges are labeled with the type of conflict, and operations are labeled with the
corresponding line from the trace in Figure 3b. There is no edge between node 5 and nodes 2 and 7 because these COUNT queries do
not conflict with the update in 5. Per Theorem 1, each non-trivial cycle in the abstract history corresponds to a potential anomaly.


                                                                             set of transactions, along with each transaction’s sequence of read
  1   a1∗: UPDATE employees SET salary=salary+1000
  2   a2: BEGIN TRANSACTION                                                  and write operations, we construct an abstract history as follows:
  3   a2: SELECT COUNT(∗) FROM employees WHERE                               first, create an operation node for each operation, a transaction node
           first_name=’John’ AND last_name=’Doe’                             for each transaction, and an API node for each API call. Group the
  4   a2: INSERT INTO employees (first_name, last_name,                      operations by transaction and the transactions by API call.
           salary) VALUES (’John’, ’Doe’, 0)                                    We say that two operations conflict if they access the same data
  5   a2: COMMIT                                                             items (i.e., columns or logical variables, not values) and at least one
  6   a1: BEGIN TRANSACTION
  7   a1∗: SELECT COUNT(∗) FROM employees                                    operation is a modification (i.e., write). (Note that in SQL, predicate-
  8   a1: UPDATE salary SET total=total+3000                                 and set-based constructs such as COUNT and UPDATE conflict accord-
  9   a1: COMMIT                                                             ing to the predicates involved for each statement [17].) For each
                                                                             pair of conflicting operations, add an undirected read edge between
Figure 5: Example non-serializable witness generated from the                them if one is a read and an undirected write edge between them
abstract history in Figure 4. The asterisks mark the operations              if both are writes. As described above, these edges induce edges
used as the seed pair to find the cycle. The labels on the left              between the corresponding transaction and API nodes. Moreover,
correspond to the API call that generated the operation. This                all types of nodes are allowed to have self-loops. Figure 4 shows
trace represents the scenario in which a new employee named                  the abstract history generated from Figure 3b.
“John Doe,” who will be the third employee, is added to the                     When constructing the abstract history, we only record the tables
database concurrently with salaries being raised by 1000.                    and columns accessed, not the exact values in the operations. This
                                                                             allows us to collapse multiple instances of the same API call with
is that existing theories of isolation pertain to concrete traces, or        the same access pattern into one API node, reducing the size of the
histories, of transactions [17, 25]. These theories can tell us whether      abstract history and improving search speeds. In contrast, multiple
a given execution obeys a given isolation level. However, we would           calls to the same logical API function that result in different access
like to reason about the infinite space of concurrent executions.            patterns (e.g., because one call encountered invalid input) would be
   Thus, instead of reasoning about concrete histories directly, we          represented by different API nodes in the abstract history.
introduce a concept that we call an abstract history. The abstract              In summary, the abstract history is represented by a multigraph,
history is a finite multigraph (i.e., allows multiple edges between the      with nodes for each operation, supernodes of operations for each
same pair of nodes) that represents the set of all possible expansions       transaction, and supernodes of transactions for each API call. Undi-
of a given trace. We show how to detect whether an anomalous                 rected write and read edges capture interactions between pairs of
expansion of the trace exists and generate example expansions via a          writes and pairs of reads and writes, respectively. Intuitively, the
series of short walks over this abstract history graph:                      abstract history captures all possible concurrent interleavings of the
   An abstract history consists of three types of nodes—operation            API calls. We can use it to check for potential anomalies without
nodes, transaction nodes, and API nodes—and two types of edges—              enumerating all interleavings (Section 3.1.3).
write edges and read edges. Transaction nodes are supernodes
encapsulating each operation in the transaction, while API nodes              3.1.3     Witness Generation
are supernodes encapsulating all transactions in the API call. Undi-            We can simultaneously find both level-based and scope-based
rected edges link two operation nodes and induce edges between               non-serializable expansions of the original trace (i.e., witnesses)
the corresponding supernodes. For example, given operation o1 in             using the abstract history. Just as cycles among transactions indicate
transaction t1 and API call a1 along with operation o2 in transaction        anomalies in traditional formalism for reasoning about concrete his-
t2 and API call a2 , a write edge between o1 and o2 induces a write          tories [17,25], cycles of API nodes in the abstract history correspond
edge between t1 and t2 as well as a1 and a2 . As the abstract history        to potentially anomalous behavior in API calls.
is a multigraph, two nodes are allowed to have multiple edges be-               However, simply checking for undirected cycles in the abstract
tween them; this occurs only between transaction nodes and API               history is insufficient. For example, concurrently executing an API
nodes, not operation nodes.                                                  call containing a single transaction T1 : w(x1 ) never results in non-
   Given a trace consisting of a set of API calls, each containing a         serializable behavior, but the corresponding abstract history contains
a cycle. We say this cycle is trivial because it only contains one            The self-loop cycle on API call add_employee between opera-
operation per API node. In Figure 4, the cycle formed by the write         tions 2 and 3 corresponds to a violation of the uniqueness property
self edge on operation 3 is also trivial. In contrast, we are interested   on employee names. However, since these operations are in the same
in non-trivial abstract cycles, or cycles of edges between API nodes       transaction, we must consider the isolation level of the database, as
that contain edges induced by two or more distinct operations re-          discussed in the next section.
siding within a single API node. (Note that this definition does not       Runtime. Given a trace containing p operations, the abstract
preclude repetition of API nodes.) For example, the two self edges         history contains O(p) operation nodes and O(p2 ) edges, so DFS
on operations 5 and 8 in Figure 4 form a non-trivial abstract cycle.       requires O(p2 ) time. Analyzing all pairs of operations requires
   Searching for these non-trivial abstract cycles is sufficient to        O(p4 ) time. However, this worst case runtime is rarely reached. If
detect the presence of anomalous expansions. Specifically:                 we divide the operations into pr reads and pw writes, then there
Theorem 1. (Informal) For a given trace T , there exists an expan-         are at most p2w + pw pr edges, since each edge requires at least one
sion of the trace that results in anomalous behavior if and only if        endpoint to be a write. If pw  pr , this is approximately pw pr ,
there is a non-trivial abstract cycle in the abstract history between      or O(p2 pw pr ). For the applications we analyze in Section 4, the
API nodes corresponding to T .                                             number of edges is roughly O(p), not O(p2 ). Furthermore, it is
   Theorem 1 implies we can simply walk the abstract history graph         often unnecessary to examine all pairs of operations for anomalous
and search for cycles to find anomalies. Remarkably, non-trivial           behavior. We can leverage user-provided input to focus the search
cycle detection in this lifted form captures any and all possible          on anomalies involving specific tables and columns and achieve
anomalous expansions of a given concrete history. That is, this            interactive runtimes (Section 4.2.3). With this optimization, our
theorem states that this method is complete with respect to the            prototype 2AD analysis tool implemented in Python completed
trace—if a non-serializable expansion exists, 2AD will find it.            within 10 seconds for every application we analyzed.
   The soundness property implied by this theorem (i.e., that there
exists an anomalous expansion for each cycle) assumes that all             3.1.4     Witness Refinement
anomalous expansions (witnesses) are in fact achievable via some               Thus far, our 2AD analysis has operated under the assumption
concurrent re-execution of the API calls. However, if the database         that all expansions of traces can be achieved via concurrent execu-
provides any isolation guarantees, or if programs perform complex          tion of the corresponding API requests. In effect, this corresponds
control flow or perform concurrency control external to the data-          to an application that i.) executes under a database with no isolation,
base, 2AD as currently stated will report false positives. Thus, we        ii.) can execute API calls with arbitrary (well-typed) values, and
introduce a “witness refinement” step in in Section 3.1.4.                 iii.) is able to reliably generate the exact same read-write transac-
   Appendix A provides a formal statement and proof of this the-           tion activity from concurrent API calls as in the input trace. In
orem as well as a more detailed description of how to generate             practice, these properties may not hold. First, databases provide
witness traces from a given non-trivial abstract cycle. Finally, recall    weak isolation guarantees that do not guarantee serializable execu-
that Theorem 1 refers to the soundness and completeness of 2AD as          tion but nevertheless restricts allowable concurrent executions [17].
a method of detecting potential anomalies in a given trace of transac-     Second, 2AD’s use of traces treats applications as black-box transac-
tion and API call activity. Thus, 2AD reasons about observed traces        tion generators: while some applications can reliably (re-)generate
of an application’s behavior and potential re-execution of API calls       concurrent transactions, others may have more complex read-write
that produced those traces, not the safety of the entire application       logic and/or application-level concurrency control mechanisms that
(e.g., changing values or control flow that does not appear in the         restrict the space of achievable schedules. As a result, 2AD’s cycle
trace itself; see also Section 3.2).                                       generation may produce false positives, or anomalous witness traces
Witness-Finding Algorithm. Given our goal of finding non-trivial           that are not actually possible to produce under concurrent execution.
abstract cycles, 2AD starts by selecting a pair of operations in the           To reduce these false positives, thereby improving the soundness
same API call (o1 in transaction t1 and API call a1 , o2 in transaction    of 2AD analysis, we introduce an optional witness refinement step.
t2 and API call a1 , o1 precedes o2 in the serial ordering of a1 ).        In this step, we encode additional knowledge about the space of
We search for non-trivial abstract cycles among the API nodes,             achievable histories in the form of restrictions on witnesses. There
constraining the first edge in the cycle to have o1 as an endpoint         are two main sources of knowledge we consider:
and the last edge in the cycle to have o2 as an endpoint. To find          1.) Isolation-Based Refinement. Different isolation levels allow
level-based anomalies, we examine only pairs where t1 = t2 . To find       different types of anomalies. For example, Read Uncommitted iso-
scope-based anomalies, we look at pairs where t1 6= t2 .                   lation disallows witnesses consisting only of write-write conflicts.
   Each of these connectivity queries can be answered via simple           Therefore, if the database operates under Read Uncommitted isola-
depth-first search (DFS). Moreover, each cyclic path found can be          tion, we can modify the 2AD cycle generation protocol to ignore
used to build a witness trace of the potentially anomalous execution.      cycles consisting only of undirected write edges. We can in fact cap-
Informally, we construct a witness by walking the cycle from oi            ture the entire theory of weak isolation including common models
to o j and recording all operations that we encounter, then add the        such as Snapshot Isolation [17] via witness refinement by encoding
remaining operations of the API nodes used in the cycle such that          the corresponding restrictions on the witness histories. To avoid enu-
the final history respects the ordering of operations within each API      merating all cycles (potentially exponential in number), we modify
call (Appendix A, Lemma 4). The full witness finding algorithm             the DFS to memoize refinement information.
analyzes all pairs of operations within the same API call.                    As a concrete example of isolation-based refinement, again con-
Example. There are several non-trivial cycles in Figure 4. The path        sider Figure 4 and the cycle in API call add_employee between
including operations 5, 3, and 7 forms a cycle between the two API         operations 2 and 3. Since these operations are in the same transac-
nodes corresponding to an anomaly which results in an employee             tion, we must consider the isolation level of the database. Operation
being counted in the raised total salary amount but not receiving a        2 is a predicate read, thus this anomaly will still be possible un-
raise. Figure 5 shows a witness to this anomaly. Operations 5 and 7        der Read Uncommitted, Read Committed, and Repeatable Read
are in different transactions, making this is a scope-based anomaly.       isolation levels. Serializable isolation would disallow this anomaly.
   Performing refinement of this type requires knowledge of the            In addition, 2AD only finds anomalies, not vulnerabilities. It is
isolation level at which the application will be run, as well as data-   up to the programmer or an additional tool to ascertain whether a
base schema information. The schema information allows 2AD to            given anomaly may result in an ACIDRain attack. We discuss this
distinguish reads on unique keys from predicate reads (as the two        process at length in the next section.
are treated differently under RR and SI).                                Extensions. There are a number of promising extensions to 2AD
2.) Application-Level Refinement. We can also perform witness            that we believe can capture more sophisticated transaction usage
refinement given information about the application and execution         patterns. For example, under mixed isolation modes (e.g., one
environment. For example, if we know that the application is de-         transaction running at Read Committed and another at Snapshot
ployed in an environment that limits the number of concurrent API        Isolation), we can annotate transaction nodes with allowable isola-
requests to N (e.g., due to web server configuration such as process     tion guarantees, then propagate these labels during trace refinement
pool size), we can ensure that cycles in 2AD witnesses span at most      (e.g., a transaction allowed to execute in SI but not RC will disallow
N API calls. In addition, 2AD’s abstract histories are value-agnostic    Lost Update phenomena). In addition, by adding “sub-transaction”
and do not account for control flow within a program; in effect,         nodes (similar to nesting transaction nodes inside of API nodes) and
2AD’s abstract history construction process assumes that each vari-      modifying the detection procedure, we can extend 2AD to nested
able read and written can assume arbitrary values. However, there        transactional (and, respectively, nested API call) models.
are often dependencies (e.g., y = x + 1) between the values that         Summary. 2AD is a cross-language dynamic analysis that uses
variables assume. In general, analyzing and encoding all program         database traces to search for potential level and scoping anomalies
logic into the 2AD refinement step is highly challenging, and, in the    under concurrent execution. Our choice to focus on database traces
limit, requires static analysis of the source program.                   was motivated by our desire for a portable, lightweight tool that can
   In our experimental study, it was faster to attempt to trigger a      analyze database-backed applications written in arbitrary languages.
reported anomaly and then find the associated program logic prevent-     The decision to focus on database-level activity also allowed us
ing the vulnerability than to preemptively add refinements. For the      to adapt decades of theory on weak isolation in detecting anoma-
web applications we seek here—many of which have simple Create-          lies. Developing automated techniques for incorporating additional
Read-Update-Destroy (CRUD) semantics—complex application-                knowledge of application structure into trace refinement will allow
level refinement was not necessary to detect our target anomalies.       more fine-grained analysis and is a worthwhile area for future work.
                                                                         However, despite its limitations, 2AD has proven a useful tool in
3.2    2AD Overview and Discussion                                       analyzing real applications—the subject of the next section.

Benefits. In the parlance of programming languages, 2AD is a
dynamic analysis [50], in that it uses traces from live applications
                                                                         4.    ACIDRain IN THE WILD
as the basis of analysis. This is a natural fit for database-backed         Having described how to use database traces to identify possible
applications: it is a simple engineering exercise to collect query       anomalies, in this section we describe how to use these this approach
logs, and a relatively straightforward task to correlate log entries     to detect vulnerabilities and subsequently perform ACIDRain at-
with API calls for many of the frameworks we study. Database             tacks. We apply a prototype 2AD analysis tool to a suite of 12
schema information is similarly easy to collect. Although we have        eCommerce applications, identifying 22 new ACIDRain attacks.
performed our analyses in a test environment (Section 4.2.1), 2AD        Section 4.1 describes how to produce vulnerabilities from anoma-
is amenable to execution over production traces as well.                 lies, and Section 4.2 details our experience finding vulnerabilities in
   2AD is both language agnostic—allowing it to analyze many             self-hosted eCommerce applications.
different applications, and database agnostic—requiring only that
the database allow for command logging and support a SQL-like
                                                                         4.1     From Anomalies to Vulnerabilities
query language. This has proved useful in practice (Section 4).             Isolation guarantees are a means towards protecting application
                                                                         integrity, or invariants over data. Provided transactions (resp. API
Soundness and Completeness. As discussed in Section 3.1.3,               calls) maintain application invariants in a serial execution, a serial-
2AD is complete with respect to the trace. 2AD is as sound as its        izable execution will also preserve those invariants. However, an
refinements; it will only report false positives based on isolation or   anomalous execution could violate invariants and corrupt application
application information it does not know about. As described in          state. When does this corruption actually occur?
Section 4.2.5, a basic 2AD implementation was sufficiently sound            For a given anomaly, there exists some application for which the
to assist in finding vulnerabilities in real applications.               anomaly violates an invariant [45]. Intuitively, if anomaly a occurs
Limitations. 2AD analysis has several fundamental limitations.           in a history H, we can create a new application whose transactions
As 2AD only operates over database logs, it does not account for         are the same as those in H and whose sole invariant is that “anomaly
any program logic that enforces serializability or expansions un-        a never occurs.” However, for a given application, the anomaly may
achievable due to constraints on values. As a result, 2AD may result     or may not influence the application invariants. Thus, to use 2AD in
in false positives; for example, a developer could use a global vari-    an ACIDRain attack, we must establish a correspondence between
able to lock a critical section of code instead of wrapping it in a      potential anomalies and invariant violations for a given applica-
transaction. To avoid this false positive, we would have to encode       tion. This is challenging to do in general: for example, describing
this information during trace refinement (e.g., via static analysis).    all program invariants is notoriously difficult and burdensome for
   Moreover, 2AD analysis is only as thorough as the provided traces.    programmers [33].
If a given API call is not in the input trace, 2AD cannot check for         Shifting from the theoretical to the practical, identifying security-
anomalies involving the call. 2AD does not account for program           related invariants is less onerous than it may immediately seem. An
behavior such as internal control flow that is not observable from       attacker will likely target particular data records of value such as
traces. Thus, 2AD is well-suited to finding latent errors in common-     bank account balances, store inventory, tax records, and/or access
case application behavior, but it will miss anomalies corresponding      control policies. Therefore, a security officer’s role is to identify
to rare or exceptional behavior not found in input logs.                 and ensure adequate protection of these critical assets. Thus, 2AD’s
ability to highlight anomalies that affect particular data items (e.g., a   isolation level of their databases from the non-serializable default
table containing account balances) and determine the API calls that         isolation levels to serializability. Combined, these three actions
may trigger them (e.g., two concurrent withdrawal requests) allows          would defend against attacks, as the correctly-scoped application
users to determine which anomalies affect key program invariants.           transactions would exhibit serializable behavior.
In the next section, we describe this attack process for three critical        We believe it is unlikely that all 2M+ sites running this code in the
invariants found in popular eCommerce applications.                         wild performed such modifications, especially as none of the above
                                                                            were mentioned any of these modifications in their documentation.
4.2     Attacking Self-Hosted eCommerce                                     However, we have not attempted to verify this fact and instead only
   To understand the prevalence of ACIDRain attack vulnerabilities          report on application usage as directed.
across a range of applications, we turned to self-hosted eCommerce             Second, we only analyzed self-hosted eCommerce applications.
platforms (i.e., eCommerce platforms users deploy on their own              According to builtwith.com [4], the majority of the remaining,
servers, in contrast to hosted offerings like Shopify). Over 60%            prominent eCommerce application platforms are hosted; that is, pop-
of the top 1M eCommerce sites are backed by these platforms [4].            ular platforms such as Squarespace and Shopify provide eCommerce-
Moreover, analyzing a particular class of application (eCommerce)           as-a-service. These hosted applications do not expose database
allowed us to check the same invariants across a range of codebases,        access directly but instead surface application APIs to the public
helping identify trends in vulnerability and prevention patterns.           Internet. Thus, it is possible that these hosted eCommerce offer-
                                                                            ings are subject to the exact same vulnerabilities that many of their
4.2.1     Target Application Corpus                                         self-hosted peers exhibit in our study. One could attempt an attack
   We selected a set of 12 eCommerce applications written in four           on these hosted offerings by performing concurrent requests to a
languages based on popularity measures including GitHub stars and           store hosted on a platform like Squarespace or Shopify using public-
references in popular articles (Table 1). Stores use these applica-         facing APIs. However, we have not attempted to do so and only
tions by building a custom front end for customers while relying on         report on self-hosted applications here.
the application for tasks such as catalog management and payment
integration. This is similar to how a WordPress user might create a         4.2.2      Target Application Invariants
blog (and, indeed, our most popular application, WooCommerce, is               From this corpus of applications, we extracted a set of three criti-
actually a plugin for WordPress). Each application provides func-           cal invariants as targets for potential ACIDRain attacks. These three
tionality for managing an online store, allowing users to browse a          invariants by no means represent the entire set of eCommerce invari-
store catalog and place orders. Each application maintains inventory,       ants that may be subject to attack, but this set applied to almost all
a ledger of orders, and tracks order status. Store owners can view          applications in the corpus and served as a useful basis for a system-
this data and perform administrative actions via separate interfaces.       atic study. The exact invariant depended on the specific semantics
Table 1 summarizes the applications used, their deployments, and            of each application but fell into one of three broad categories:
popularity on GitHub. While we could not find deployment numbers
for all of the platforms chosen, according to builtwith.com [4], this       1.) Inventory Invariant. Each eCommerce site maintains its own
set covers over 55% of eCommerce sites on the Internet. WooCom-             bookkeeping of store inventory. Each product has an associated
merce alone accounts for 39% of all online stores.                          stock value (i.e., count of product remaining) that is decremented
   We chose eCommerce sites in part because they are among the              upon order completion to record that the associated stock is ac-
most popular widely-deployed self-hosted web applications and also          counted for. We consider the invariant that a product’s stock must be
because they deal with money. (In contrast, we did not find any             non-negative and that an item’s final stock count reflect the orders
popular self-hosted banking applications.) We did not censor our            placed for that item.4 We selected this invariant due to its ubiq-
selection but instead selected for prevalence and popularity alone.         uity and also because of its close correspondence to the canonical
We report results from every application we tested.                         textbook example of an integrity violation due to concurrent bank
   The eCommerce sites’ feature sets ranged considerably, but, as           account withdrawals resulting in corrupted or negative balances [42].
Table 5 (Appendix C) shows, most had common functionalities                 2.) Voucher Invariant. Nine out of twelve applications allowed
including functionality to track products and inventory, record cus-        administrators to create gift vouchers (i.e., gift cards), which have
tomer activity, and set up promotions—functionality we target in the        monetary value and/or a limit on the number of times the voucher
next section. Most importantly, they all shipped with sample store          can be used. We targeted the invariant that vouchers should not be
that was easy to configure and represented a basic first deployment         used more than their specified limit. Violating this invariant amounts
that exercised core application functionality.                              to overspending a voucher, effectively stealing from the store. The
Applicability of results. In our analysis, we study application             applications all process these vouchers internally, using database
codebases that allow us to gather traces and verify vulnerabilities         backed state instead of third-party payment processors.
without performing attacks on sites in the wild, thereby avoiding           3.) Cart Invariant. Each application exposed a shopping cart
committing criminal offenses under a variety of jurisdictions. This         functionality, into which users place items and subsequently pay for
methodology leaves two questions unanswered:                                them as part of an order. We target the invariant that the total amount
   First, if installed and configured according to directions, real         charged for an order should reflect the total value of the goods in
online stores using each application we study will use the same             the order. While this invariant may seem obvious, we found that
functions and functionality described here, thus exposing themselves        in several of the applications it was possible to add an item to the
to the vulnerabilities we report. However, it is possible that none of      cart concurrent with checkout, resulting in the user paying for the
the vulnerabilities we report actually exist in real sites—the 2M+          original total of items in the cart, but placing a valid order including
site operators using these applications may have fixed or otherwise         the new item as well. This allows users to obtain items for free.
mitigated these vulnerabilities. For example, each store owner could        For example, a user might buy a pen and add a laptop to their cart
i.) modify the application code to properly encapsulate vulnerable          during checkout, paying for the pen but placing an order for the pen
functionality in transactions, ii.) make sure to only deploy their
stores on databases that support serializability, and iii.) upgrade the     4 Some applications allowed backorders, but we disabled that functionality.
           App Name                    Language     Web Deployments   GitHub Stars as of 3/21/17     Lines of Code      SQL Trace Size (Lines)
           OpenCart [7]                  PHP            298,399                 3247                    136544                  1699
           PrestaShop [10]               PHP            230,501                 2287                    189812                  1422
           Magento [6]                   PHP            245,680                 4198                   1161281                  801
           WooCommerce [16]              PHP           1,979,504                3227                    100098                  1006
           Spree [15]                    Ruby           45,000                  8268                     56069                  768
           Ror_ecommerce [11]            Ruby              –                    1106                     17224                  218
           Shoppe [14]                   Ruby              –                    835                      4062                   152
           Oscar [8]                    Python             –                    2427                     31727                  769
           Saleor [12]                  Python             –                    828                      8614                   401
           Lightning Fast Shop [5]      Python             –                    423                      25163                  563
           Broadleaf [3]                 Java              –                    889                     163012                  374
           Shopizer [13]                 Java              –                    507                      59014                  845

Table 1: Summary of applications analyzed. Deployment information provided by builtwith.com [4] for all but Spree, where informa-
tion is provided by the SpreeCommerce website. We were unable to find deployment numbers for the other applications. All Ruby
applications were built using Rails, all Python applications were built using Django, and all Java applications were built using Spring
as their respective frameworks. Lines of code only includes the lines in the target language, excluding other files such as Javascript
or HTML.


and laptop. Unless an application operator specifically looks for            defined functions. However, the prototype was able to find all of the
mismatched order totals, this may be problematic, especially when            vulnerabilities described below. Thus, while providing the tool a
order fulfillment is automated. Thus, violations of this invariant           richer understanding of SQL would improve its ability to accurately
essentially allow customers to steal items from the store.                   find anomalies, this basic implementation proved to be powerful.
  Table 3 (Appendix C) provides example formal statements of
these invariants, sample traces showcasing how these anomalies
                                                                              4.2.4      Experimental Methodology
manifest in the wild, and an example abstract history graph that                We configured each application to run on an Intel i5-430M pro-
might arise from a simplified eCommerce application.                         cessor with 4GB RAM running Ubuntu 14.04. Due to application
                                                                             compatibility, we deployed the two Java applications on MySQL
4.2.3      Prototype 2AD Analysis Tool                                       Server v5.5.53 and the rest on MariaDB v10.1.10. We subsequently
                                                                             generated database traces by interacting with each site via the public
  We implemented a prototype 2AD analysis tool in Python follow-
                                                                             HTTP interface (e.g., placing items in a cart, completing checkout).
ing the approach in Section 3.5 The prototype accepts SQL logs
                                                                                Recall that our target invariants are independent of the 2AD anal-
and a schema description and analyzes them via 2AD for potential
                                                                             ysis; 2AD only finds anomalies, and an 2AD user must relate those
anomalies. Given the traces and a database schema, the analysis
                                                                             anomalies to invariants. Therefore, to detect vulnerabilities, we used
tool outputs a list of tables, columns, and API calls for which 2AD
                                                                             our prototype 2AD analysis tool to highlight potential anomalies
indicates there is a potential anomaly (either level-based or scope-
                                                                             relevant to the corresponding database tables under MySQL’s de-
based).
                                                                             fault isolation level.6 We subsequently verified each by attempting
Workflow, False Positives, and Targeted Analysis. 2AD gen-                   an attack on the vulnerability by concurrently executing vulnerable
erates a potentially large number of witnesses; for example, if an           API calls via the user interface on our test deployments. When
application fails to use transactions entirely, every read and write to      attacks succeeded, we further ensured that each behavior was indeed
the same column will result in a potential anomaly. Therefore, in            unexpected by verifying the attack was not possible under a serial
our analysis, we took a targeted approach: in addition to outputting         execution. To avoid configuring a custom HTTP request generator
all potential anomalies (which can be large), the tool allows filtering      for each application, we reproduced all the anomalies manually, via
by target columns. For a specific invariant, we first identified the         rapid, successive HTTP requests (sometimes in separate browsers).
relevant columns (e.g., vouchers.usage for the voucher invariant).           For eight (of 22) successful attacks, we introduced additional net-
Subsequently, we passed these columns into the 2AD tool, which               work delay of 200ms between the application server and database
reported potential witnesses for further inspection. This dramati-           using a pass-through proxy. We have provided instructions for re-
cally reduced the overhead of finding and verifying vulnerabilities.         producing each vulnerability in the form of publicly accessible bug
In our traces, the 2AD tool returned a median of 726 vulnerable              reports issued against each application (Section 4.2.7).
pairs of anomalous operations per application before filtering. After
filtering, the median was 37 witnesses. Via the above schema-driven           4.2.5      Analysis Results
targeted exploration, by the end of our study, we could perform the             Across the 12 applications, we identified 22 vulnerabilities to
trace 2AD analysis in under half an hour per invariant (with most            ACIDRain attacks (Table 5, Appendix C). We discuss developer
of the time spent identifying table and column names); in contrast,          responses to these vulnerabilities in Section 4.2.7.
triggering and verifying each attack (e.g., crafting concurrent HTTP
requests) took approximately two hours.                                      Which vulnerabilities occurred? We identified nine inventory
                                                                             vulnerabilities, eight voucher vulnerabilities, and five cart vulner-
Running time. Table 4 (Appendix C) provides a summary of
the size of the graphs and the corresponding runtimes. The tool               6 Because MySQL purports to provide Repeatable Read isolation, MySQL

completed in under ten seconds for all traces.                                should not allow Lost Updates. However, we were surprised to trigger Lost
                                                                              Updates under MySQL Repeatable Read anyway; that is, MySQL “Repeat-
Tool Limitations. Our prototype currently does not support several            able Read” does not provide PL-2.99. MySQL uses lock-free multi-versioned
SQL language constructs such as nested queries, views, and user-              reads for all updates except those that specifically specify otherwise (e.g., via
                                                                              FOR UPDATE). Thus, MySQL behaves as Read Committed instead. For a de-
5 https://github.com/stanford-futuredata/acidrain                             tailed discussion of this phenomenon, see https://github.com/ept/hermitage.
abilities. This prevalence inversely correlates with severity: the         locks that prevented one of the vulnerabilities (OpenCart, see below).
inventory vulnerability can simply corrupt store inventory—an an-          Many transactions appear to be automatically generated by Object
noyance, but not necessarily a loss of revenue. The voucher vul-           Relational Mapping (ORM) calls instead of manually specified by
nerability allows users to double-spend store credit, but typically        application programmers, making it difficult to distinguish when
receiving the store credit requires the user to purchase the credit at     transaction usage was intentional. In either case, the prevalence
least once. The cart vulnerability is perhaps most severe, allowing        of scope-based vulnerabilities even in the presence of transactions
potentially unlimited addition of items to a user’s order—for free.        indicates that either programmers, ORMs, or both find it difficult to
   Two of the cart vulnerabilities deserve special mention. For both       properly use transactions to encapsulate critical operations.
Broadleaf and Shopizer, our tool reported a potential vulnerability        Were there false positives? As described in Section 4.2.3, we
that we verified. However, further inspection revealed that the values     utilized the 2AD prototype’s schema-targeted interface to focus
being written for the order total actually came from request headers,      on anomalies that pertain to critical columns in the database. We
thus making the vulnerability across API scope and thus technically        encountered four vulnerabilities that 2AD reported that were not
out of scope of our study. However, since we successfully triggered        actually triggerable, for one of two reasons. The first class of false
these vulnerabilities and the prototype reported them due to other         positives were due to the use of user-level concurrency control (dis-
reads in the checkout API call, we include them here.                      cussed at length in the next section); for this reason, the witnesses
Were particular applications more likely to contain vulnerabil-            produced by 2AD did not trigger the cart vulnerability in OpenCart
ities? Only one application (Lightning Fast Shop) contained all            and Broadleaf. However, surprisingly, Broadleaf was still vulnera-
three vulnerabilities, and only one application (Spree) contained no       ble to the cart exploit due to an error in control flow (i.e., reusing a
vulnerabilities (we discuss Spree’s application programming pat-           previous session value). The second class of false positives were due
terns that defend against attacks below). In contrast, six applications    to anomalies that were in fact triggerable but were handled by other
contained the voucher and inventory vulnerability, and four con-           program logic and thus rendered benign. The cart vulnerability for
tained the inventory and cart bug. Shopizer was the only application       Magento and Spree as well as the voucher vulnerability for Spree
with just one vulnerability. Thus, with the exception of Spree, these      fell into this category: while we were able to trigger read-write
vulnerabilities are widespread in our sample and are not localized         anomalies, these applications used extra database accesses to repeat-
to a given set of applications. However, the exact manifestation of        edly read data and verify invariants at the application level, thus
each vulnerability reflects the project’s coding style and idioms (e.g.,   preventing the attack. False positives of the former type could be
[dis]use of transactions; see below).                                      mitigated by more detailed refinements. The latter require additional
                                                                           information about application control flow.
                    Level-Based Anomalies Allowed                             Our focus on targeted 2AD analysis produced a small set of wit-
  Database                                                Remaining
                 Default Isolation Maximum Isolation                       nesses pertaining to target columns. Out of curiosity, we investigated
  MySQL              5 (RC)               0 (S)                17          a handful of witnesses that were unrelated to the columns of interest
  Oracle             5 (RC)              1 (SI)                17          to our invariants. Some were merely variations on a vulnerability
  Postgres           5 (RC)               0 (S)                17
  SAP HANA           5 (RC)              1 (SI)                17
                                                                           discussed above. Others were more benign: multiple applications al-
                                                                           lowed a Lost Update to the user’s shopping cart before the checkout
Table 2: RC = Read Committed, SI = Snapshot Isolation, S =                 process completed, resulting in the user observing an inconsistent
Serializability. Summary of how many anomalies would still be              cart total in an intermediate step but providing no opportunity to
observable under the default and maximum isolation levels of               receive inventory for free as in the “true” cart vulnerabilities we
some popular databases. As described in Section 4.2.4, MySQL               report above. Several others were not observable by external users
purports to provide Repeatable Read isolation by default but               due to internal control flow.
actually provides Read Committed.
                                                                           4.2.6     Avoiding ACIDRain Attacks
                                                                           When weren’t applications vulnerable? There were a range of
What types of anomalies caused vulnerabilities? Of the 22                  reasons why applications were not vulnerable to all attacks. Three
vulnerabilities, five were level-based, meaning that the default weak      applications (Shoppe, Ror_ecommerce, and Shopizer) lacked the
isolation level led to the anomalies behind the vulnerabilities. The       concept of a voucher and so were automatically protected from
remaining 17 were scope-based, meaning that the database accesses          the voucher vulnerability. One application, Saleor, backed its cart
were not properly encapsulated in transactions and concurrent API          via a session variable instead of the database and was therefore
requests could trigger the vulnerability independent of the level of       out of scope of this study. Broadleaf appears to have inadvertently
isolation provided by the database backend.                                rendered its community edition’s site inventory management func-
   Potential level-based anomalies depend on the isolation level           tionality inoperable and we instead found an existing bug report
permitted by the database and the access pattern. The five that            for this broken functionality (and thus were unable to confirm the
arose from level-based anomalies resulted from both Lost Update            vulnerability). Shopizer required integrating with a shipping service
(4) behavior and Phantom Reads (1). Thus, under Read Committed             to exercise its inventory management code, so we do not report on
(Adya PL-2), all five are possible, while only the Phantom Read            it.
anomaly should be possible under Repeatable Read (Adya PL-2.99)                We identified several patterns for avoiding these vulnerabilities.
and Snapshot Isolation (Adya PL-SI). Table 2 provides an overview          Not all of these patterns appear to have been implemented deliber-
of which popular databases expose applications to attacks.                 ately to avoid anomalies, as evidenced both by the comments from
   The remaining 17 vulnerabilities were due to scope-based anoma-         the developers and the fragility with which some of them manage to
lies. In line with [20], several applications failed to use transactions   prevent a vulnerability:
entirely. Some, like Ror_ecommerce (which had both a scope-based
vulnerability and a level-based vulnerability) used them sparingly.        SELECT FOR UPDATE Appending FOR UPDATE to the end of a
Two applications had no logged transactions, although one of these         SELECT query prevents the data read from being modified until the
two had user level concurrency control in the form of PHP session          end of the transaction [42]. This can be used to prevent Lost Update
(i.e., simple Read-Modify-Write) anomalies [17]. Only one of the              4.2.7     Response and Discussion
applications, Spree, used this functionality correctly to prevent the
inventory vulnerability. Another application, Ror_ecommerce, used             Potential fixes. The anomaly type and access patterns in Table 5
it correctly to prevent the inventory vulnerability when inventory is         dictates the actions that could be taken to prevent each vulnerability.
low. However, Ror_ecommerce is still vulnerable to an attacker as it          For level-based anomalies, simply increasing the isolation level to
does not guard the stock management when the inventory is above a             an appropriate level (if supported) would prevent the corresponding
user-specified threshold. A third application, Magento, attempted             attack. Furthermore, some of the predicate based reads we observed
to use SELECT FOR UPDATE to lock the database row before writing              were expected to return at most one result. Marking the column be-
it. However, since the read used in the inventory check was made              ing filtered as unique would allow serializable behavior at a weaker
outside of the transaction, Magento was still vulnerable.                     isolation level. For scope-based anomalies, refactoring to properly
    In 2AD, accounting for SELECT FOR UPDATE corresponds to a                 group operations within transactions is required. In either case,
witness refinement limiting allowable witnesses. When looking for a           alternative methods discussed in Section 4.2.6 such as SELECT FOR
cycle between o1 and o2 in the same transaction, with U representing          UPDATE or multiple validations could also be used to prevent attacks.
the set of rows locked by SELECT FOR UPDATE after o1 is executed,             Developer Response. We have reported 18 vulnerabilities to appli-
this refinement prevents the inclusion of any operation in the witness        cation developers by opening support tickets on each application’s
that conflicts with U.                                                        GitHub repository or issue tracker (Appendix B). Four vulnerabili-
User level concurrency control. A few applications used user-                 ties had existing issues filed by other users (due to data corruption,
level locking to prevent concurrent execution of a section of code.           and not explicitly for security-related concerns). Seven reported
PHP automatically performs “session locking” on session files pre-            vulnerabilities have been confirmed thus far. The developers of
venting concurrent calls in the same session [9]. This prevented the          Ror_ecommerce have proposed performing extra reads to prevent
cart vulnerability in OpenCart. Broadleaf attempted to prevent the            the cart vulnerability. The developers of Oscar have proposed using
cart vulnerability by implementing a mutex in the database. How-              SELECT FOR UPDATE to prevent the inventory vulnerability. A user
ever, while the mutex was correct, the checkout functionality was             of Magento responded to the inventory vulnerability issue describ-
implemented incorrectly, and a version the cart invariant was still           ing a similar issue in production: “We set one product to sale and
vulnerable (Section 4.2.5, false positives).                                  after that we have quantity of product=-14. We use 18 instances of
   In 2AD, user-level concurrency control could correspond to a               frontend. [sic]” In contrast, the developer of OpenCart responded to
refinement rule in the abstract history that is derived from application      the inventory vulnerability by posting a comment—“use your brain!
logic. We found it simpler to test the anomaly than search for and            its [sic] not hard to come up with a solution that does not involve
encode such refinements.                                                      coding!”—then closed both the inventory and voucher vulnerability
                                                                              issues and blocked us from responding. Broadleaf considers the
Single read of data. Some vulnerabilities, like the cart vulner-              voucher vulnerability a feature. That is, the Broadleaf developers
ability, stem from an invariant that certain values in the database           responded to a similar ticket, indicating that they would prefer to
obey a given relationship (e.g., the sum of the prices of the items           allow concurrent voucher usage on the grounds that failed checkouts
in the order equals the the total charged for the order). A natural           due to voucher overuse would result in poor user experience. It is
way to enforce this constraint during checkout is to read the cart            unclear whether the developers recognize the threat due to malicious
once, then compute both the order total and order items from that             abuse of this functionality.
read. This implementation does not allow an anomaly to occur that
violates the constraint, as the data items are both computed from a           5.    RELATED WORK
single input. Oscar, PrestaShop, and WooCommerce avoided the                     This research builds upon a long line of work on transaction
cart vulnerability in this manner. In contrast, vulnerable applications       processing under weak isolation. Originally introduced in 1976 as
calculate the order total and order items from different reads of the         part of the System R project [41], isolation levels have a colorful
cart table.                                                                   history, that includes several efforts to model them by Berenson et
   In 2AD, a single read of the cart table will cause there to be             al. [23] in the mid-1990s, Adya in the late 1990s [17], and several
only one read operation mentioning the cart table in the “checkout”           others today [19,28,30]. To date, isolation guarantees remain poorly
API call, and thus there can be no non-trivial abstract cycle for the         understood [21]. In particular, our empirical analysis builds upon
cart table starting from this call. When the cart table is read more          several recent studies in the database community on the impact of
than once, this creates the opportunity for non-trivial abstract cycle        weak isolation:
between two read operations in the “checkout” API call and a write               Jorwekar et al. [44] provide techniques for detecting anomalies
operation in the “add to cart” API call.7                                     in Snapshot Isolation, using SQL logs to analyze the behavior of
                                                                              two benchmarks and two applications in use at IIT Bombay. Our
Multiple validations. Spree avoided the voucher vulnerability by
                                                                              2AD analysis is inspired by Jorwekar et al.’s use of SQL logs, and
validating that the usage is under the limit multiple times: it checked
                                                                              Jorwekar et al.’s refinements for SI are directly applicable as refine-
both before and after marking the voucher as used, as well as a
                                                                              ment rules in 2AD. The work in this paper expands upon Jorwekar
third time near the end of checkout. This pattern allowed anomalies
                                                                              et al.’s study by focusing on API-based security vulnerabilities in
between the checks, but no vulnerability as all anomalies resulted
                                                                              database-backed web applications. We introduce a model that cap-
in unsuccessful checkouts. Similarly, both Spree and Magento read
                                                                              tures both API calls and transactions (and transactions within API
from the cart table multiple times but prevent the cart vulnerability
                                                                              calls), requiring non-trivial extension to existing models of weak
by recalculating the cart total after each read.
                                                                              isolation (including Adya [17]). This extension yields important
   Multiple validations result in the second type of false positive—
                                                                              results: as we have empirically demonstrated, many vulnerabilities
triggerable anomalies that do not compromise the application.
                                                                              exist only at the API level (in our study, 17 of 22 vulnerabilities).
7 Some applications did not have a separate order table but instead had to    In addition, we apply 2AD to isolation levels beyond SI (including
write back to the corresponding row in the cart table to mark the order       RC, and RR), requiring further work on trace refinement. Perhaps
completed. In these cases, a similar cycle existed in the abstract history.   most importantly, we analyze 12 open source eCommerce appli-
cations written in four languages, with a broad install base (over           actional databases today often surface much weaker models than the
2M websites) and via transaction traces that are up to 46× larger            classic serializable isolation guarantee—and, by default, far weaker
than the largest reported in this prior work, providing an expanded          models than alternative,“strong but not serializable” models such as
perspective on transaction usage and anomalies in the wild.                  Snapshot Isolation. Moreover, the transaction concept requires the
   More recently, Fekete et al. empirically measured conflicts un-           programmer’s involvement: should an application programmer fail
der non-serializable transaction isolation by crafting a synthetic           to correctly use transactions by appropriately encapsulating func-
workload and measuring the occurrence of anomalies in concrete               tionality, even serializable transactions will expose programmers
execution histories. Our focus here is on predictive analysis. Most          to errors. While many errors arising from these practices may be
recently, Bailis et al. [20] study a corpus of Ruby on Rails applica-        masked by low concurrency during normal operation, they are sus-
tions to determine the susceptibility of Rails applications to invariant     ceptible to occur during periods of abnormally high concurrency. By
violations, in the form of violations of assertions regarding database-      triggering these errors via concurrent access in a deliberate attack, a
backed state appearing in the code (i.e., validations). Thus, while          determined adversary could systematically exploit them for gain.
Bailis et al. study invariants that programmers explicitly specify              In this work, we defined the problem of ACIDRain attacks and
across a range of applications, we study a specific class of invariants      introduced 2AD, a lightweight dynamic analysis tool that uses traces
that are implicit in eCommerce applications and that are not captured        of normal database activity to detect possible anomalous behavior
by Bailis et al.’s study. As a result of our focus on implicit invariants,   in applications. To enable 2AD, we extended Adya’s theory of weak
we developed 2AD to check for potential invariant violations from            isolation to allow efficient reasoning over the space of all possible
database traces using Adya’s theory of transaction isolation [17]; in        concurrent executions of a set of transactions based on a concrete
contrast, Bailis et al. use the theory of invariant confluence [18] to       history, via a new concept called an abstract history, which also
check invariants directly via static analysis of Ruby code.                  applies to API calls. We then applied 2AD analysis to twelve popu-
   There are a range of other studies profiling weakly consistent            lar self-hosted eCommerce applications, finding 22 vulnerabilities
databases including Amazon’s SimpleDB [59] and S3 [24] databases             spread across all but one application we tested, affecting over 50%
and providing online algorithms for detecting violations of lineariz-        of eCommerce sites on the Internet today.
ability, and serializability [38, 62], and various bounded staleness            We believe that the magnitude and the prevalence of these vulner-
models [22, 36, 61]. Our focus here is on detecting and exploiting           abilities to ACIDRain attacks merits a broader reconsideration of
weak isolation anomalies and analyzing their impact on database-             the success of the transaction concept as employed by programmers
backed applications as deployed on the public Internet.                      today, in addition to further pursuit of research in this direction.
   Several other works study web security. Most techniques de-               Based on our early experiences both performing ACIDRain attacks
signed for the database setting focus on detecting and preventing            on self-hosted applications as well as engaging with developers, we
database manipulation such as SQL injection [47, 57], which are              believe there is considerable work to be done in raising awareness
not our focus. Model-based intrusion detection flags anomalous               of these attacks—for example, via improved analyses and addi-
program executions based on a learned or provided programming                tional 2AD refinement rules (including analysis of source code to
model [29, 37]. These tools monitor a running application and en-            better highlight sources of error)—and in automated methods for de-
force invariants at various program points, unlike our tool which            fending against these attacks—for example, by synthesizing repairs
does not require instrumenting a running program. These tools also           such as automated isolation level tuning and selective application
differ in that they cannot reason about concurrent executions. In            of SELECT FOR UPDATE mechanisms. Our results here—as well as
contrast, Yang et al. [60] predict the growing threat of concurrency         existing instances of ACIDRain attacks in the wild—suggest there
attacks and analyze some existing attacks; our work builds upon              is considerable value at stake.
theirs by defining a new class of concurrency attacks along with
studying the prevalence of these attacks in real applications.               Acknowledgements
   Data race detection is a popular topic in program analysis. Most
dynamic techniques either search for inconsistent locksets [53, 58]          We thank the many members of the Stanford InfoLab as well as Ali
or use Lamport’s happens-before relation [46] to find two accesses           Ghodsi and Martin Rinard for their valuable feedback on this work.
that are unordered with respect to each other [35, 54, 56]. Static           This research was supported in part by Toyota Research Institute,
techniques based on the lockset algorithm, type systems, or model            Intel, the Army High Performance Computing Research Center,
checking are also used [27,31,49,52]. There are two key differences          RWE AG, Visa, Keysight Technologies, Facebook, and VMWare.
between this shared memory setting and the database setting:
   First, database analyses must consider weak isolation levels as op-       7.    REFERENCES
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     intrusion detection system. In ESORICS, 2002.
                                                                                          operations from at least one transaction.
[48] S. Lu, A. Bernstein, and P. Lewis. Correct execution of transactions at different
     isolation levels. IEEE TKDE, 2004.
[49] M. Naik, A. Aiken, and J. Whaley. Effective static race detection for Java,          Proof. Each cycle specifies n distinct operations. Sort these opera-
     volume 41. ACM, 2006.                                                                tions according to the ordering provided by C. Since the graph has
[50] F. Nielson, H. R. Nielson, and C. Hankin. Principles of program analysis.            no self edges, n ≥ 2. By the constraints on the partial order [17],
     Springer, 2015.
                                                                                          o1 must precede o2 and similarly o2 precedes on , so o1 6= on . Since
 659     set autocommit=0                                                    559    SELECT ‘main_table‘.∗, ‘cp_table‘.‘type_id‘
                                   ..                                                   FROM ‘cataloginventory_stock_item‘ AS
                                    .                                                   ‘main_table‘ INNER JOIN
 664     SELECT (1) AS ‘a‘ FROM                                                         ‘catalog_product_entity‘ AS ‘cp_table‘
             ‘voucher_voucherapplication‘ WHERE                                         ON main_table.product_id =
             ‘voucher_voucherapplication‘.‘voucher_id‘                                  cp_table.entity_id WHERE
             = 6 LIMIT 1                                                                (‘main_table‘.‘product_id‘ IN(’2048’))
                                   ..                                                                           ..
                                    .                                                                            .
 708     INSERT INTO ‘voucher_voucherapplication‘                            680    START TRANSACTION
             (‘voucher_id‘, ‘user_id‘, ‘ order_id ‘,                         681    SELECT ‘si‘.∗, ‘p ‘.‘ type_id‘ FROM
             ‘date_created‘) VALUES (6, 4, 23,                                          ‘cataloginventory_stock_item‘ AS ‘si‘
             ’2016−11−06’)                                                              INNER JOIN ‘catalog_product_entity‘
                                   ..                                                   AS ‘p‘ ON p.entity_id=si.product_id
                                    .                                                   WHERE (website_id=0) AND
 723     commit                                                                         (product_id IN(2048)) FOR UPDATE
                                                                             682    UPDATE ‘cataloginventory_stock_item‘ SET
                                                                                        ‘qty‘ = CASE product_id WHEN 2048
Figure 6: Sample logs from Oscar “checkout” API call reveal-                            THEN qty−1 ELSE qty END WHERE
ing the voucher vulnerability. We can see that all accesses are                         (product_id IN (2048)) AND (website_id
properly wrapped in a transaction (setting autocommit=0 be-                             = 0)
gins a transaction). Oscar checks if a single-use voucher is                 683    COMMIT
available by seeing if there are any applications of the voucher.
This allows a level-based phantom write anomaly to occur un-
der non-serializable isolation levels such as Read Committed,              Figure 7: Sample logs from Magento “checkout” API call re-
Snapshot Isolation, and Repeatable Read.                                   vealing the inventory vulnerability. While the second access
                                                                           is properly encapsulated in a transaction and use SELECT FOR
this is a cycle, Ton = To1 . Therefore, To1 has two distinct operations    UPDATE, the guard against allowing inventory to become nega-
in the cycle.                                                              tive uses the value from the first read. This allows the opportu-
                                                                           nity for a scope-based Lost Update anomaly.
   We define a non-trivial abstract cycle in an abstract history AH
as a cycle of API nodes where the cycle contains edges induced by          of the transaction operations within Ao up to and including oi . Next,
two or more distinct operations residing within a single API node.         follow the cycle c and execute all of the operations of each API
Note that this definition allows repetition of nodes.                      node in c in their respective transaction order. If an API node is ever
   We say that a concrete history C is non-serializable in o if CSG(C)     revisited, create a new instance of that API node and its operations.
has a cycle containing operation o.                                        Finally, execute o j and the remainder of Ao (don’t create a fresh API
                                                                           node for o j ). Each transaction in C 0 corresponds to a transaction in
Lemma 3. If there exists a concrete history C that is non-serializable     the set used to create AH, so it can be mapped to a transaction in C
in operation o, then AH(C) contains a non-trivial abstract cycle           with the same structure. Therefore, it is an expansion of C. Next,
containing o.                                                              consider CSG(C 0 ). Follow the same path of operations as those in
                                                                           the cycle in AH(C) starting from oi . Because each operation had
Proof. By assumption, there is a cycle in CSG(C). Note that there
                                                                           conflicts in AH(C), their corresponding operations must conflict in
is a surjective mapping from CSG(C) nodes to AH(C) nodes. Since
                                                                           C 0 . There is a cycle of such operations in C 0 formed by the coun-
AH(C) allows self edges, every edge in CSG(C) corresponds to an
                                                                           terpart operations, beginning at C 0 ’s counterpart for oi and ending
edge in AH(C). Lemma 2 implies that there exists an API node
                                                                           at o j . Therefore, by definition, there must be a directed cycle in
with 2 distinct operations in the cycle in CSG(C), namely the node
                                                                           CSG(CH(C 0 )) and therefore C 0 is a non-serializable expansion.
containing the transaction corresponding to the first operation ac-
cording to the ordering of C. Starting from that operation, follow         Lemma 5. For each complete concrete history C 0 in the expansion
the corresponding edges in AH(C) to find a non-trivial cycle in            of C, AH(C 0 ) ⊆ AH(C).
AH(C).                                                                     Proof. Recall C = CH(T, O, R) and AH(C) = AH(T ). Since
  A history C 0 is in the expansion of C if, for every transaction Ti in   each expansion C 0 is also a history, it must have also be C 0 =
C 0 there is a corresponding transaction T j such that the operations in   CH(T 0 , O0 , R0 ) and AH(C 0 ) = AH(T 0 ). We know that for each
Ti and T j are identical disregarding concrete values (have identical      T j ∈ T 0 , there is a mapping to a Ti ∈ T such that their structure is the
access patterns over columns).                                             same. As described in Section 3.1.2, an abstract history will collapse
                                                                           API nodes with the same structure. Thus, AH(C 0 ) ⊆ AH(C).
Lemma 4. Given a concrete history C, if AH(C) contains a non-              Theorem 1 (Formal). For every operation o in a concrete history
trivial abstract cycle containing o then there exists an expansion C 0     C, there exists a concrete history C 0 in the expansion of C that is
of C such that C 0 is non-serializable in o.                               non-serializable in o iff AH(C) contains a non-trivial abstract cycle
Proof. Consider an abstract history AH(C) with a non-trivial ab-           including o.
stract cycle c. C must contain an API node Ao with two distinct            Proof. Case non-serializable expansion implies cycle: Call the ex-
operations oi and o j such that oi and o j form part of a non-trivial      pansion C 0 . By Lemma 3, AH(C 0 ) contains a cycle. By Lemma 5,
abstract cycle. Consider the following history C 0 : first, execute all    AH(C 0 ) ⊆ AH(C), so the cycle can still be found in AH(C).
                                                                              Name       Variables                                Invariant
 108    set autocommit=0                                   (a)              Cart         item i (cost: ci , qty: qi ), total: T   ∑i ci qi = T
                                                                            Inventory    item i, stock si                         ∀i, si ≥ 0
 109    INSERT INTO ‘cart_cartitem‘ (‘cart_id‘,                             Voucher      cost in usage i: ci , limit: vlimit      ∑i vi ≤ vlimit
            ‘product_id ‘, ‘amount‘,
            ‘ creation_date ‘, ‘ modification_date ‘)                    Table 3: Formal statements of target eCommerce invariants;
            VALUES (8, 1, 1, ’2016−07−18                                 for brevity, we omit the “no Lost Updates” component of the
            18:35:23.204957’, ’2016−07−18                                Inventory invariant.
            18:35:23.205002’)
 110    commit
                                                                            We provide links to each GitHub issue we opened during our
                                                                         investigation below:
 388    SELECT ‘cart_cartitem‘.∗ FROM            (b)
             ‘cart_cartitem‘ WHERE                                       https://github.com/opencart/opencart/issues/4811
            ‘cart_cartitem‘.‘cart_id‘ = 8 ORDER BY                       https://github.com/opencart/opencart/issues/4812
            ‘cart_cartitem‘.‘id‘ ASC                                     http://forge.prestashop.com/browse/PSCSX-8333
                                  ..                                     http://forge.prestashop.com/browse/PSCSX-8334
                                   .                                     https://github.com/magento/magento2/issues/6363
                                                                         https://github.com/magento/magento2/issues/6364
 402    set autocommit=0
                                                                         https://github.com/woocommerce/woocommerce/issues/12467
 403    INSERT INTO ‘order_order‘ (. . . ) VALUES
                                                                         https://github.com/tryshoppe/shoppe/issues/403
             (. . . )
                                                                         https://github.com/drhenner/ror_ecommerce/issues/174
 404    commit
                                                                         https://github.com/django-oscar/django-oscar/issues/2101
                                  ..
                                   .                                     https://github.com/django-oscar/django-oscar/issues/2102
                                                                         https://github.com/mirumee/saleor/issues/543
 438    SELECT ‘cart_cartitem‘.∗ FROM                                    https://github.com/mirumee/saleor/issues/544
             ‘cart_cartitem‘ WHERE                                       https://github.com/diefenbach/django-lfs/issues/201
             ‘cart_cartitem‘.‘cart_id‘ = 8 ORDER BY                      https://github.com/diefenbach/django-lfs/issues/202
             ‘cart_cartitem‘.‘id‘ ASC                                    https://github.com/diefenbach/django-lfs/issues/203
 439    set autocommit=0                                                 https://github.com/BroadleafCommerce/BroadleafCommerce/issues/1574
 440    INSERT INTO ‘order_orderitem‘ (. . . )                           https://github.com/shopizer-ecommerce/shopizer/issues/121
             VALUES (8, 100, 100, 0, 1, 1, ’1’, ’tp1’ ,
             100, 100, 0)
 441    commit                                                           C.    2AD APPLICATION VULNERABILITY
                                                                               EXAMPLES
                                                                            Figures 6, 7, and 8 show real logs we used to detect the voucher,
Figure 8: Sample logs from the Lightning Fast Shop “add to               inventory, and cart vulnerabilities respectively. We have highlighted
cart” (a) and “checkout” (b) API calls revealing the cart vul-           only the relevant log statements, and explain how they exemplify
nerability. The reads from the cart individually listed all fields       the patterns discussed in the main text.
and joined to the product table for pricing information, we have            Table 3 provides sample logical predicates for invariants. Table 4
simplified for space and clarity. We have similarly simplified           provides statistics on graph sizes and runtimes. Table 5 summarizes
the INSERT statements. The order total is calculated from a dif-         the types of vulnerabilities we found, along with the access patterns
ferent read than the one used to specify the order items. This           and transaction usage allowed for the corresponding anomalies to
gives an opportunity for a new item to be inserted into the order        take place.
in between calculating the total and recording the items. The               Figure 9 shows a sample abstract history corresponding to a sim-
automatically generated transactions that wrap only single op-           plified eCommerce application. This abstract history contains API
erations do not help prevent this anomaly.                               calls for an add_to_cart function and a checkout function. This
                                                                         application is backed by a cart_items table storing the products in
   Case cycle implies non-serializable expansion: Follows directly       a user’s cart, a stock table storing product stock values, an orders
from Lemma 4.                                                            table storing order total information, and a order_items table stor-
                                                                         ing the products bought in each order.
   Finally, note that any non-trivial abstract cycle c implies the
                                                                            This figure contains two cycles corresponding to invariant violat-
existence of a non-trivial abstract cycle with at most one node
                                                                         ing anomalies. First, there is a scope-based anomaly represented by
repetition. By assumption, c must contain some oi and o j in the
                                                                         the path between operations 5, 3, and 7 creating a cycle between
same API node A0 . There must be a subpath of c from oi to o j
                                                                         the two API nodes. This anomaly could cause a cart vulnerability.
that does not visit oi or o j except at the endpoints. Starting from
                                                                         Second, there is the path from operation 4 to 9 creating a self-loop
this subpath, we can build a new cycle C0 by further collapsing any
                                                                         cycle on the checkout API call. The corresponding scope-based
cycles along this path that do not contain the first or last edge of
                                                                         anomaly could cause an inventory vulnerability. While this graph is
the path. The resulting C0 is still a cycle containing two distinct
                                                                         quite simplified, it captures the essence of behavior that we saw in
operations oi and o j in the same API node, so it is a non-trivial
                                                                         real applications.
abstract cycle. However, the only API node that could be repeated
is A0 as the other endpoint of one of the edges containing oi or o j .

B.     2AD LINKS TO ISSUES
     App Name                 Operation Nodes    Txn Nodes    Explicit Txns      API Nodes          Edges    Total Runtime (s)     Parse (s)     Analyze (s)
     OpenCart                      1575            1575             0               12              7845           9.761            9.458          0.299
     PrestaShop                    1349            1349             0                9              1745           9.165            8.867          0.270
     Magento                        653             574            13                7               956           4.117            4.035          0.785
     WooCommerce                    884             740             1                7              8522           3.232            2.976          0.239
     Spree                          689             587            22                6              3503           2.565            2.395          0.168
     Ror_ecommerce                  190             159             3                6               226           0.491            0.483          0.007
     Shoppe                         126             102             6                6               136           0.335            0.321          0.004
     Oscar                          469             154            14                8               373           2.465            2.424          0.038
     Saleor                         226              83            16                9               191           1.035            1.026          0.007
     Lightning Fast Shop            350             347             1                6               460           2.320            2.288          0.030
     Broadleaf                      253             216            11                6               288           5.878            5.860          0.017
     Shopizer                       183             125            37                5               134           7.366            7.348          0.016

Table 4: Explicit transactions are those with more than one operation that have explicit BEGIN and COMMIT statements. All
runtimes only measure the time to find the set of vulnerable API call/table pairs, and are run on an Intel i5-430M processor with
4GB RAM. The runtimes to find an anomaly for all pairs that operate on a specific table are not shown, but were also all under ten
seconds.




                                                                                                  Vulnerability
                                                                   Voucher                        Inventory                       Cart
                Language              Application        V          AP         AT        V          AP          AT      V         AP            AT
                                       Opencart         yes       phantom     scope     yes         LU        scope    no
                                      PrestaShop        yes         LU        scope     yes         LU        scope    no
                   PHP
                                       Magento          yes         LU        scope     yes         LU        scope    no
                                    WooCommerce         yes         LU        scope     yes         LU        scope    no
                                         Spree          no                              no                             no
              Ruby (Rails)          Ror_ecommerce       NF                              yes         LU       level     yes       phantom       scope
                                        Shoppe          NF                              yes       phantom    scope     yes       phantom       scope
                                         Oscar          yes       phantom     level     yes         LU       level     no
             Python (Django)      Lightning Fast Shop   yes         LU        scope     yes         LU       scope     yes       phantom       scope
                                        Saleor          yes         LU        level     yes         LU       level    NDB
                                       Broadleaf        yes       phantom     scope     BF                            yes*       phantom       scope
              Java (Spring)            Shopizer         NF                              BF                            yes*       phantom       scope

Table 5: Summary of vulnerabilities. V = Vulnerable, AP = Access Pattern, AT = Anomaly Type, NF = No Functionality, BF = Broken
Functionality, NDB = Functionality that is not database backed, and thus out of the scope of this study. The two yes* correspond to
triggerable bugs that were reported by the tool (See Section 4.2.5, “Were there false positives?”).




                                                        add_to_cart


                               1 r(cart_items)           2 r(stock)                   3 w(cart_items)                    w


                                                                                                                                                          w
                                                                   r
                                                              r                               r                  r
                                                                            checkout


      4 r(stock)               5 r(cart_items)            6 w(order)                   7 r(cart_items)           8 w(order_items)                    9 w(stock)


                                                                   w                                                         w
         r

Figure 9: An abstract history corresponding to a sample add_to_cart API call and sample checkout API call. Solid circles cor-
respond to operations, dashed rectangles to transactions, and dotted rectangles to API calls. Edges are labeled with the type of
conflict.
