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# Freezing the Web: A Study of ReDoS Vulnerabilities in JavaScript-based Web Servers

**Freezing the Web: A Study of ReDoS Vulnerabilities in JavaScript-based Web Servers** - Cristian-Alexandru Staicu, Michael Pradel, usenix.org.

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Freezing the Web: A Study of ReDoS Vulnerabilities
         in JavaScript-based Web Servers
        Cristian-Alexandru Staicu and Michael Pradel, TU Darmstadt
        https://www.usenix.org/conference/usenixsecurity18/presentation/staicu




        This paper is included in the Proceedings of the
               27th USENIX Security Symposium.
                   August 15–17, 2018 • Baltimore, MD, USA
                               ISBN 978-1-939133-04-5




                                            Open access to the Proceedings of the
                                             27th USENIX Security Symposium
                                                  is sponsored by USENIX.
                             Freezing the Web:
       A Study of ReDoS Vulnerabilities in JavaScript-based Web Servers

                  Cristian-Alexandru Staicu                            Michael Pradel
               Department of Computer Science                   Department of Computer Science
                        TU Darmstadt                                   TU Darmstadt



                       Abstract                               can easily take several minutes or even hours. For exam-
Regular expression denial of service (ReDoS) is a class       ple, matching the apparently harmless regular expression
of algorithmic complexity attacks where matching a reg-       /(a+)+b/ against a sequence of 30 “a” characters on the
ular expression against an attacker-provided input takes      Node.js JavaScript platform takes about 15 seconds on
unexpectedly long. The single-threaded execution model        a standard computer.1 Matching a sequence of 35 “a”
of JavaScript makes JavaScript-based web servers partic-      characters already takes over 8 minutes, i.e., the match-
ularly susceptible to ReDoS attacks. Despite this risk and    ing time explodes exponentially.
the increasing popularity of the server-side Node.js plat-       If a server implementation suffers from this kind of
form, there is currently little reported knowledge about      performance problem, then an attacker can exploit it to
the severity of the ReDoS problem in practice. This pa-       overwhelm the server with hard-to-match inputs. This
per presents a large-scale study of ReDoS vulnerabilities     attack is known as regular expression denial of service,
in real-world web sites. Underlying our study is a novel      or short ReDoS. Such attacks are a form of algorithmic
methodology for analyzing the exploitability of deployed      complexity attack [10] that exploits the worst-case com-
servers. The basic idea is to search for previously un-       plexity behavior of algorithms that match a string against
known vulnerabilities in popular libraries, hypothesize       a regular expression. Since for some regular expres-
how these libraries may be used by servers, and to then       sions, the worst-case complexity is much higher than the
craft targeted exploits. In the course of the study, we       average-case complexity, an attacker can cause denial of
identify 25 previously unknown vulnerabilities in popu-       service with a few, relatively small inputs.
lar modules and test 2,846 of the most popular websites          Even though ReDoS has been known for several years,
against them. We find that 339 of these web sites suf-        recent developments in the web server landscape bring
fer from at least one ReDoS vulnerability. Since a single     new and increased attention to the problem. The rea-
request can block a vulnerable site for several seconds,      son is that JavaScript is becoming increasingly popular
and sometimes even much longer, ReDoS poses a seri-           not only for the client-side but also for the server-side of
ous threat to the availability of these sites. Our results    web applications. However, the single-threaded nature of
are a call-to-arms for developing techniques to detect and    JavaScript, where every request is handled by the same
mitigate ReDoS vulnerabilities in JavaScript.                 thread, makes server applications much more susceptible
                                                              to ReDoS attacks. In practice, to avoid making the server
                                                              unresponsive by blocking this thread, developers try to
1   Introduction
                                                              split any long-running computation into smaller events,
Regular expressions are widely used in all kinds of           which are than handled asynchronously. The problem
software. Since regular expressions are easy to get           is that in current JavaScript engines, matching a string
wrong [42], which may help attackers to bypass                against a regular expression cannot be easily split into
checks [18, 5], developers are trained to think about         multiple chunks of computation. As a result, a single re-
the correctness of regular expressions. In contrast, an-      quest can effectively block the main thread, making the
other security-related aspect of regular expressions is of-   web server unresponsive to any other incoming requests
ten neglected: the performance, specifically, how long        and preventing it from finishing any other already estab-
it takes to match a string against a regular expression.      lished requests.
Unfortunately, given a specifically crafted input, match-        1 We use JavaScript syntax for regular expressions, i.e., a pattern is

ing against a suboptimally designed regular expression        either enclosed by slashes or given to the RegExp() constructor.




USENIX Association                                                               27th USENIX Security Symposium                   361
   Despite the importance of ReDoS in web servers, there       DoS. However, this approach is notoriously prone to both
is currently little reported knowledge about the preva-        false positives and false negatives, since it reasons nei-
lence of ReDoS vulnerabilities in real-world websites.         ther about the context in which these patterns appear
In this paper, we present the first comprehensive study        nor about the actual performance of regular expression
of ReDoS across a large number of websites. We seek to         matching. Our work shows the urgent need for effective
answer the following questions:                                tools and techniques that detect and prevent ReDoS vul-
• How widespread are ReDoS vulnerabilities in the              nerabilities in JavaScript.
   server-side part of real-world JavaScript-based web-           In summary, this paper contributes the following:
   sites?
                                                               • A novel methodology for analyzing the exploitability
• What is the effect of vulnerabilities on the response
                                                                 of deployed servers. The key ideas are (i) to hypothe-
   time of web servers?
                                                                 size how server implementations may use libraries that
• What kinds of vulnerabilities are the most prevalent?
                                                                 have previously unknown vulnerabilities and (ii) to as-
• Are more popular websites less vulnerable to ReDoS?
                                                                 sess whether an attack is feasible without actually at-
• Are existing defense mechanisms in use and if so, how
                                                                 tacking the servers.
   effective are they in preventing ReDoS attacks?
                                                               • The first comprehensive study of ReDoS vulnerabil-
   Answering these questions involves solving two                ities in JavaScript-based web servers. Out of 2,846
methodological challenges. First, how to identify Re-            studied websites, we find 12% to be vulnerable.
DoS vulnerabilities in the server-side of websites when        • Empirical evidence that ReDoS is a real and
their source code is not available. We address this chal-        widespread threat. Our work calls for novel tools and
lenge based on a set of 25 previously unknown vulnera-           techniques that detect and prevent ReDoS vulnerabili-
bilities in popular libraries and by speculating how these       ties.
libraries may be used in servers. Second, how to ana-          • A benchmark of previously unreported ReDoS vul-
lyze which websites are exploitable without actually per-        nerabilities and ready-to-use exploits, which we make
forming a denial of service attack against live websites.        available for future research on finding, fixing, and
We address this challenge by triggering requests with in-        mitigating ReDoS vulnerabilities:
creasing input size, using both manually crafted exploit
inputs and randomly generated, harmless inputs, and by               https://github.com/sola-da/ReDoS-vulnerabilities
statistically comparing the response times.
   Using this methodology, we identify 339 websites that
suffer from at least one ReDoS vulnerability. Based on
experiments with locally installed versions of the vulner-     2     Background
able server-side libraries, attacking these websites with
crafted inputs can cause a web server to remain unre-
sponsive for several seconds or even minutes. These            2.1    Regular Expression Matching
problems are due to a very small number of vulnerabil-
ities, with a single vulnerability that causes 241 sites to    Regular expressions are used to check whether a given
be exploitable. While this is encouraging from a mitiga-       sequence of characters matches a specified pattern. Most
tion point of view, it also implies that an attacker aware     implementations in modern programming languages ad-
of a single, previously unknown vulnerability can cause        dress this problem by converting the regular expression
serious harm to several websites.                              into an automaton [38] and through a backtracking-based
   Ojamaa and Düüna [27] were the first to identify Re-      search for a sequence of transitions from the initial to an
DoS as a threat for the Node.js platform. Davis et al. [11]    accepting state that consumes the given string. For ex-
confirm that such problems exist in popular modules and        ample, consider the regular expression /^(a+b)?$/ and
report that 5% of the security vulnerabilities identified in   its equivalent automaton in Figure 1. Given the string
Node.js libraries are ReDoS. No prior work has studied         “aab”, the automaton starts from state s and has two
the impact of ReDoS on real-world web sites. Existing          available transitions, to states 1 and 3. It first takes the
work on detecting ReDoS vulnerabilities mostly targets         transition to state 1, which leads to the accepting state
languages other than JavaScript. For example, Wüstholz        a. Since the input string was not consumed and there
et al. [43] propose a static analysis of ReDoS vulnerabili-    are no available transitions, the algorithm backtracks to
ties in Java. The only available tool for JavaScript that we   s and explores the transition to state 3 etc. After multi-
are aware of is a small utility called safe-regex2 , which     ple explorations the algorithm identifies the sequence of
checks for simple AST-level patterns known to cause Re-        transitions s → 3 → 4 → 5 → 4 → 5 → 6 → 7 → a, which
                                                               reaches the accepting state and consumes all characters
  2 https://www.npmjs.com/package/safe-regex                   of the input string.



362   27th USENIX Security Symposium                                                                 USENIX Association
                           ε                                                                             ReDoS analysis
                   1           2             ε                                       npm modules
           ε                                                                                               of libraries
                                                             a
       s                                                                                                           Module level
               ε                                                     ε                                             vulnerabilities
                                    ε
                           ε                     ε               b
                   3           4        5            6                   7        Usage scenarios       Exploits creation
                                    a
Figure 1: Automaton for the regular expression                                                                     Exploits using
/^(a+b)?$/. s is the starting state and a is the accepting                            Local machines               HTTP requests
state.                                                                                Live websites
                                    ε                                             List of websites       ReDoS analysis        List of vulner-
                                    ε                                              using Node.js           of websites         able websites
                           ε                     ε               ε
                   3           4        5            6                   7
           ε                        a                                                     Figure 3: Overview of the methodology.
                                                         ε                   ε
       s                                                         ε
                           ε
                               11       10           9                   8       servers, such as Apache, the single-threaded execution
                       a            b            ε               a
                                                                                 model compounds the problem in JavaScript. For exam-
Figure 2: Automaton for the regular expression                                   ple, consider a regular expression that takes more than
/^a*a*b$/. s is the starting state and a is the accept-                          an hour to match, which we show to exist in widely used
ing state.                                                                       JavaScript software. To completely block an Apache
                                                                                 web server, we need to send hundreds of such requests,
2.2    Regular Expression Denial of Service                                      each blocking one thread. Depending on the number of
       (ReDoS)                                                                   available parallel processing units, the operating system,
                                                                                 and the thread pool size, new requests can still be han-
The backtracking-based search may cause the algorithm                            dled even with hundred of busy threads running. In con-
to backtrack a possibly large number of times. ReDoS                             trast, in Node.js one such request is enough to completely
attacks exploit these pathological cases. For example,                           block the server for an hour. To make matters worse,
consider the regular expression /^a*a*b$/, its automa-                           even less severe ReDoS payloads can significantly de-
ton in Figure 2, and the input string “aaa”. Each charac-                        grade the availability of a Node.js server, as we show in
ter “a” can be matched using two transitions, 4 → 5 and                          Section 4.3.
8 → 9. At each step, the algorithm needs to decide which
of these two transitions to take. Eventually, since there
is no character “b” in the input string, the algorithm will                      3    Methodology
always fail when reaching state 11. However, before con-
cluding that the input string does not match the pattern,                        This section presents our methodology for studying Re-
the algorithm tries all possible ways of matching the “a”                        DoS vulnerabilities in real websites. The overall goals of
characters. The example is a regular expression of super-                        the methodology are to understand (i) how widespread
linear complexity [43], since the number of transitions                          such vulnerabilities are, (ii) whether an attacker could ex-
during matching is quadratic in the input size. Other reg-                       ploit them to affect the availability of live websites, and
ular expression even have exponential complexity, e.g.,                          (iii) to what extent existing defense mechanisms address
because of nested repetitions, such as in /^(a*)*b$/.                            the problem. To answer these questions, our methodol-
In our study, we identify ReDoS vulnerabilities of both                          ogy must address two major challenges. The first chal-
these types and show that both are of importance for                             lenge is a technical problem: Since the server-side source
server-side JavaScript.                                                          code of most websites is not available, how to know what
                                                                                 vulnerabilities a website suffers from? The second chal-
                                                                                 lenge is an ethical concern: How to study the potential
2.3    Server-side JavaScript
                                                                                 impact of attacks on live websites without actually caus-
JavaScript is becoming more and more popular, includ-                            ing noticeable harm to these websites?
ing the server-side Node.js platform, which advocates a                             Figure 3 shows a high-level overview of the methodol-
single-threaded, event-based execution model that uses                           ogy. We address the two challenges through experiments
asynchronous I/O calls. In Node.js, the main thread of                           performed on machines under our control and on live
execution runs an event loop, called the main loop that                          websites. A main insight to address the first challenge
handles events triggered by network requests, I/O opera-                         is to use previously unknown vulnerabilities in popular
tions, timers, etc. A slow computation, e.g., matching a                         JavaScript libraries and to speculate how servers may
string against a regular expression, slows down all other                        use these libraries. More precisely, we analyze third-
incoming requests. Compared to multi-threaded web                                party libraries, called node package manager modules



USENIX Association                                                                                 27th USENIX Security Symposium        363
(npm packages or npm modules for short), to find vulner-                                       600




                                                               Number of sites using Express
abilities that may be exploitable via HTTP requests. We                                        500
then hypothesize how the server implementation may use                                         400
these packages and create exploits for these scenarios.                                        300
   To address the second challenge, we present a tech-                                         200
nique that tests whether a site is vulnerable but that
                                                                                               100
avoids blocking the site for a noticeable amount of time.
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do not require more computation time than normal web




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                                                                                                           -1
                                                                                                              M
requests, and to then slowly increase the payload – just
long enough to claim with confidence that the site could                                                   Popularity rank
be exploited if an attacker used larger payloads. To de-
                                                               Figure 4: Number of server-side JavaScript websites
cide on the size of payloads sent to live websites, we run
                                                               within a given popularity range.
experiments on locally installed web servers that use the
vulnerable packages.
                                                               3.2                               Finding ReDoS Vulnerabilities in Li-
   An alternative to experimenting with live websites
                                                                                                 braries
would be to locally install open-source web applications.
We discarded this idea because it would limit the scale of     Our methodology relies on knowing previously un-
our study to the few web sites that disclose their server-     known, or at least not yet fixed, ReDoS vulnerabilities
side code, because it would remain unclear whether the         in popular npm modules. Similar to previous work [43],
results generalize to real-world sites, and because we         we consider a regular expression to be vulnerable if we
could not study which counter-measures are deployed in         can construct inputs of linearly increasing size that cause
practice.                                                      the matching time of the expression to increase super-
                                                               linearly. To identify previously unknown vulnerabilities,
                                                               we use a combination of automated and manual analy-
3.1    Identifying Websites with Server-side                   sis, similar to what a potential attacker might do. This
                                                               technique is not the contribution of this paper, but rather
       JavaScript
                                                               a way to enable our study. In principle, any other way of
We consider the most popular one million websites ag-          identifying ReDoS vulnerabilities could be used instead,
gregated by Alexa3 as candidate sites for our study.           including existing analyses [43], which however, are cur-
Many of these websites do not use JavaScript on the            rently not available for JavaScript.
server-side and analyzing all the websites against our ex-        At first, we download the 10,000 most popular mod-
ploits is prohibitive. Instead, we select sites that run the   ules and extract their regular expressions by traversing
currently most popular framework for JavaScript-based          the abstract syntax trees of the JavaScript code. This
web servers, Express4 . To this end, we make a request         yields a total of 324,791 regular expressions, with a mean
to each of the one million websites and check whether          of 63.67, a median of 5.00 and a maximum of 19,791 per
the header X-Powered-By is “Express”. The framework            module. After removing regular expressions that con-
sets this value by default on a fresh installation. In to-     tain no repetitions, and hence are immune to algorithmic
tal, 2,846 sites set this header which account for a mar-      complexity attacks, we obtain a total of 138,123 expres-
ket share of around 0.3%, consistent with estimates by         sions, with mean 37.93 and median 4.00 per module.
others.5 Because headers may be filtered to prevent at-           Next, we semi-automatically search for regular ex-
tackers from targeted attacks and because frameworks           pression patterns that are known to be vulnerable. For ex-
other than Express exist, our selection of sites is likely     ample, we search for expressions containing repetitions
yield an underapproximation of the impact of ReDoS.            of a negated group followed by a character. The second
Figure 4 shows the number of Express-based websites            regular expression in Figure 6 is an example because it
in batches of 100,000 sites, ordered by popularity. We         contains the subexpression [^=]+=. A regular expres-
observe that Express tends to be used by the more pop-         sion that is not anchored with a start anchor and contains
ular websites, confirming the importance of studying the       this pattern is likely to be vulnerable. The reason is that
security of JavaScript-based servers.                          the repetition group is generic enough to contain most
                                                               of the possible prefixes and the = character guarantees
  3 http://www.alexa.com/
                                                               that there exists a failing suffix. For example, the regular
  4 https://expressjs.com/                                     expression /ab[^=]+=/ can be exploited using a long
  5 https://w3techs.com/technologies/details/                  string "abababab..".
ws-nodejs/all/all                                                 Given a set of possibly exploitable regular expression,



364   27th USENIX Security Symposium                                                                                     USENIX Association
we manually inspect the context in which the regular ex-      this measure underapproximates the time a human user
pressions are used. The goal is to find matching oper-        needs to wait for the page to load, because complex sites
ations on data that may be delivered through an HTTP          require separate requests for images, etc.
request to a web server. To this end, we focus on (i)
modules included in the Express framework, (ii) middle-
ware modules that extend this framework, and (iii) mod-       3.4    ReDoS Analysis of Websites
ules that manipulate HTTP request components, such as         The next step is to measure how many websites are vul-
the body or a specific header. For regular expressions        nerable to a ReDoS attack based on one of the exploits.
in these modules, we keep only those with a possible          The main challenge is to draw meaningful conclusions
data flow from the package interface or from an HTTP          about the harm that an attacker could cause, without ac-
header to the regular expression. Overall, it took one of     tually attacking live websites. During our initial experi-
the authors only a couple of days to find 25 such vul-        ments we sent one request with a crafted header that ap-
nerabilities in widely used npm modules, showing that         peared to make the analyzed website unresponsive for al-
a skilled individual can attack real-world websites with      most a minute. The goal of our methodology is to avoid
moderate effort. A more powerful attacker could easily        this type of mistake.
detect a larger number of vulnerabilities and perform a          We address this challenge by triggering requests with
larger-scale attack.                                          increasing input sizes, using both crafted and random in-
                                                              puts, while measuring the response times. Based on lo-
3.3    Creating Exploits                                      cally performed experiments, we choose input sizes that
                                                              are unlikely to block the server for more than a small,
Based on the ReDoS vulnerabilities in npm modules,            configurable amount of time (we use two seconds in our
we create exploits targeted at web servers that use these     experiments). If the response time with crafted inputs
modules. The main idea is to hypothesize how a server-        grows faster than with random inputs, then we classify
side web application might use a module. To this end,         the website as exploitable.
we set up a fresh Express installation and implement an          Measuring the response time in a reliable way is non-
example web application that uses the module. For ex-         trivial due to DNS resolving, network caching, delays,
ample, for a package that parses the user agent, we build     retransmissions, and other influencing factors. Another
an application that parses the user agent of every HTTP       issue is how to determine whether the response time is
request for the main page, which might be used to track       larger than another in a statistically reliable way. We ad-
visitors. Next, we try to create an HTTP request where        dress these issues by adapting a technique originally used
user-controlled data reaches the vulnerable regular ex-       for comparing the performance of software running on a
pression, and craft input values that trigger an unusu-       virtual machine [16, 29]. The basic idea is to repeatedly
ally long matching time. For crafting the input, we try       measure the response time and to conclude that crafted
to confuse the regular expression engine by forcing it to     inputs cause a higher response time than random inputs
backtrack because the input can be matched in multiple        only if we observe a statistically significant difference.
ways [21, 43]. While creating exploits, we assume that           More specifically, to measure the response time for a
the maximum header size is 81,750 characters, which is        given input, we first repeat the request nw times to “warm
the default in Express.js. If we succeed in crafting an in-   up” the connection, e.g., to fill network caches, and then
put that takes more than five seconds, we consider the        repeat the request another nm times while recording the
vulnerability as exploitable and consider it for the re-      response times. Given k pairs of increasingly large ran-
mainder of the study.                                         dom and crafted inputs (irandom , icra f ted ), where the two
   To further assess the impact of the exploits, we mea-      inputs in a pair have the same size, we obtain k pairs
sure how much longer it takes to process a crafted input      (Trandom and Tcra f ted ) of sets of time measurements (with
compared to a random string of the same length. We            |Trandom | = |Tcra f ted | = nm ). For each input size, we com-
use two ways of measuring the time. First, we mea-            pare the confidence intervals of the values in Trandom and
sure the matching time of the regular expression, i.e., the   Tcra f ted and conclude that the response times differ if and
time needed to check whether a string matches the regu-       only if the intervals do not overlap. If the response times
lar expression. Second, we measure the time of an entire      differ for all k input sizes, we quantify the difference
HTTP request, called response time. The response time         for an input size as the difference between T random and
may include various other components, such as HTTP            T cra f ted , where T is the average of the times in T . For
parsing and serialization, DNS resolving, routing time        k input sizes, this comparison gives a sequence of differ-
for the package, and dealing with HTTP retransmissions        ences d1 , .., dk . Finally, we consider a website to be ex-
or package fragmentation. To measure the response time        ploitable if d1 < d2 < .. < dk . Intuitively, this means that
of a site, we request its main page. For complex sites,       the response times for random and crafted inputs have a



USENIX Association                                                             27th USENIX Security Symposium           365
statistically significant difference, and that this difference     Module                Version     Number of     Downloads
increases when the input size increases.                                                           dependencies   in July 2017
   To execute these measurements, we need to pick val-             debug                 2.6.8          16,055     54,885,335
                                                                   lodash                4.17.4         49,305     44,147,504
ues for nw , nm , k, and the k input sizes. We use nw =three,      mime                  1.3.6           2,798     22,314,018
nm =five, and k = 5 because these values are large enough          ajv                   5.2.2             758     17,542,357
                                                                   tough-cookie          2.3.2             302     15,981,922
to draw statistically relevant conclusions for most web-           fresh                 0.5.0             197     14,151,270
sites yet small enough to not disturb the analyzed server.         moment                2.18.1         14,421     10,102,601
For picking the k input sizes, the challenge is to ensure          forwarded             0.1.0              31      9,883,630
                                                                   underscore.string     3.3.4           2,486      7,277,966
that measure a difference when there is one without re-            ua-parser-js          0.7.14            225      5,332,979
peatedly causing the server to block for a longer period           parsejson             0.0.3              19      4,897,928
                                                                   useragent             2.2.1             191      3,515,292
of time. We address this challenge by experimenting on             no-case               2.3.1              18      3,321,043
a locally installed version of the vulnerable package and          marked                0.3.6           2,624      3,012,792
by choosing input sizes that take approximately 100ms,             content-type-parser   1.0.1               8      2,337,147
                                                                   platform              1.3.4             128        757,174
200ms, 500ms, 1s and 2s to respond to.                             timespan              2.3.0              34        523,290
   Our setup allows us to assess whether a website could           string                3.3.3             911        421,700
                                                                   content               3.0.5               9        316,083
be exploited without actually attacking it. Since we take          slug                  0.9.1             499        151,004
measurements in a sequential manner and since the over-            htmlparser            1.7.7             178        138,563
all number of requests per site is small, we allow legiti-         charset               1.0.0              36        112,001
                                                                   mobile-detect         1.3.6             101        107,672
mate users to be served between our requests. Moreover,            ismobilejs            0.4.1              50         44,246
the servers of popular websites implement some kind of             dns-sync              0.1.3               7         10,599
redundancy, such as multiple Node.js instances in a clus-        Figure 5: Modules with at least one previously unknown
ter, i.e., our measurements are likely to block only one         vulnerability.
such instance at a time. In contrast, an attacker would
likely send both more requests and requests with larger          the latest release of the package. The packages vary in
inputs, which can cause severe harm to vulnerable sites,         the number of dependencies and downloads, but we can
as we show in Section 4.3.                                       safely conclude that ReDoS vulnerabilities are present
                                                                 even in very popular packages.
3.5    Analysis of Mitigation Techniques                            Given the amount of possible damage entailed by the
                                                                 vulnerabilities, we have invested significant efforts to
Some sites reject requests with large headers and instead        disclose them in a responsible way. For each vulnera-
return a “400 Bad Request” error. This mitigation can            bility, we have contacted the developers either directly
limit the damage of ReDoS attacks. To measure whether            or through the Node Security Platform6 , and gave them
a site uses this mitigation technique, we create benign          several months to fix the problem before making it pub-
requests of different sizes and measure how often a site         lic. 14 of the 25 have been fixed by now and are listed as
rejects a request.                                               advisories on the Node Security Platform. For the oth-
                                                                 ers, the developers are either still in the process of fixing
4     Results                                                    or decided to leave the task of fixing to the community.
                                                                 The complete list of vulnerabilities, along with details on
This section presents the results of applying the method-        their current status is available for the reviewers.7
ology described in Section 3 to live, real websites. We             As explained in Section 3.3, we try to create exploits
perform our measurements using three different ma-               for the vulnerabilities by hypothesizing how web server
chines depending on the experiments: a ThinkPad 440s             implementations may use the vulnerable modules. Fig-
laptop with four Intel i7 CPUs and 12GB memory (Sec-             ure 6 shows the modules and usage scenarios for which
tion 4.1), a third party commercial web server with              we could create an exploit. For all the scenarios we as-
512MB memory (Section 4.3 and 4.4) and a server with             sume the payload is sent using a specific HTTP header.
48 Intel Xeon CPUs and 64GB memory (from Sec-                    We believe that HTTP bodies, UDP packages or Web-
tion 4.6 on).                                                    Socket messages can also be used for the same purpose.
                                                                 The last column of Figure 6 shows the JavaScript imple-
                                                                 mentation of the usage scenario. We run this implemen-
4.1    Vulnerabilities and Exploits                              tation on our local server to experiment with the exploit.
Figure 5 shows the modules for which we found at least              6 https://nodesecurity.io/advisories
one vulnerable regular expression that can be exploited             7 Following this link may de-anonymize the authors: https://
through the module’s interface. At the time of perform-          docs.google.com/spreadsheets/d/1rnR8zsXeA1eccrpxeZK0_
ing our experiments, each vulnerability was working on           LtQOlc8j_u60IR7nnVQgbE/edit?usp=sharing




366    27th USENIX Security Symposium                                                                    USENIX Association
ID Module      Vuln. reg. expr.                              Header     Usage scenario              JavaScript example
                / (? : charset | encoding )
 1 charset      \ s *=\ s * [ ’" ] ? *( [ \ w \ - ] +) / i
                                                             Content-   The website uses this require ( " charset " )( req . headers );
                                                             Type       package to parse the con-
                                                                        tent type of every request.
                / ^( [ ^\/ ] +\/ [ ^\ s ; ] +)(? : (?
                : \ s *;\ s * boundary =(? :
                                                                                                    var content = require ( " content " );
                "( [ ^" ] +)"|( [ ^;" ] +)))|
 2 content      (? : \ s *;\ s * [ ^= ] +=(? : (? : "
                                                             Content-   The website uses this content . type (
                                                             Type       package to parse the con-   req . headers [ " content-type " ] );
                (? : [ ^" ] +)")|(? : [ ^;" ]
                +))))* $ / i                                            tent type of every request.
                                                                                                    var fresh = require ( " fresh " );
 3 fresh        / *, */                                      If-None-   The      website     uses fresh ( req . headers );
                                                             Match      express,      which by
                                                                        default uses this package
                                                                        to check the freshness of
                                                                        every request.
                                                                                                    var forwarded = require ( " forwarded " );
 4 forwarded / * , * /                                       X-         The      website      uses var addrs = forwarded ( req );
                                                             Forwarded- express and the “trust
                                                             For        proxy” option is set. This
                                                                        package is then used to
                                                                        check which proxies a
                                                                        request came through.
                new RegExp ( " Dell . * Streak |                                                  var MobileDetect =
                Dell . * Aero | Dell . * Venue |                                                        require ( " mobile-detect " );
                DELL . * Venue Pro | Dell Flash |                                                 var headers =
 5 mobile-      Dell Smoke | Dell Mini 3 iX |
                                                  User-                 The website uses this           req . headers [ " user-agent " ] ;
   detect       XCD28 | XCD35 |\\ b001DL \\ b |   Agent                 package to get informa- var md = new MobileDetect ( headers );
                \\ b101DL \\ b |\\ bGS01 \\ b " )                       tion about the requester. md . phone ();
                                                                                                  var platform = require ( " platform " );
                                                                                                  var headers =
 6 platform     / ^ +| + $ / g                               User-      The website uses this           req . headers [ " user-agent " ] ;
                                                             Agent      package to get informa- var agent = platform . parse ( headers );
                                                                        tion about the requester.
                                                                                                  var useragent =
              / ip [ honead ] +(? : . * os \ s                                                        require ( " ua-parser-js " );
 7 ua-parser- ( [ \ w ] +)*\ slike \ smac |;                 User-      The website uses this var headers =
   js         \ sopera ) /                                   Agent      package to get informa-       req . headers [ " user-agent " ]
                                                                        tion about the requester. var agent = useragent . parse ( headers );
                / ((? : [ A-z0-9 ] +| [ A-z \ - ] + ?)?
                (? : the )?(? : [ Ss ] [ Pp ] [ Ii ]
                                                                                                  var useragent = require ( " useragent " );
                [ Dd ] [ Ee ] [ Rr ] | [ Ss ] crape |
                                                                                                  var headers =
                [ A-Za-z0-9- ] *(? : [ ^ C ] [ ^ Uu ] )
 8 useragent    [ Bb ] ot | [ Cc ] [ Rr ] [ Aa ] [ Ww ]
                                                        User-           The website uses this         req . headers [ " user-agent " ] ;
                [ Ll ] ) [ A-z0-9 ] *)(? : (? :         Agent           package to get informa- var agent =
                                                                        tion about the requester.     useragent . parse ( headers );
                [ \/ ] | v )(\ d +)(? : \ . (\ d +)
                (? : \ . (\ d +))?)?)? /

Figure 6: Vulnerable regular expressions and usage scenarios we hypothesize the vulnerable modules to be involved
in.

   Most of the scenarios and their implementations are                           this hypothesis. In this work, our goal is to assess the
relatively simple. This simplicity shows that an attacker                        effect of exploits that can be deployed at a large scale.
that follows a methodology similar to ours could create                          Therefore, we only consider very simple usage scenarios
exploits that might work for a wide range of websites                            that can be triggered with a single HTTP request made to
with relatively little effort. For an attack targeted at a                       the main page.
specific website, we believe that more complex scenar-
ios could be built, e.g., involving multiple HTTP requests
and domain knowledge. For example, the marked pack-                                 To better understand the vulnerabilities, Figure 6
age provides a parser for the markdown format. By craft-                         shows for each vulnerable module the vulnerable regu-
ing a specific markdown document, an attacker can block                          lar expressions. Some of the expressions are non-trivial,
the main loop for hours. However, to deploy the exploit,                         making it hard for developers to focus on possible Re-
complex interactions with the server are needed. That is,                        DoS attacks in addition to the correctness of the reg-
the attacker needs to figure out which part of the website                       ular expression. Four of these regular expressions can
may use a markdown parser and how to provide a doc-                              be successfully identified by a recent approach proposed
ument that will be processed by the parser. We believe                           by Wüstholz et al. [43], which targets Java applications,
that such a scenario is realistic, but it requires an in-depth                   though. The remaining four regular expressions cannot
analysis of each website. We leave for future work to test                       be detected by their approach due to differences between
                                                                                 the regular expression semantics of Java and JavaScript.



USENIX Association                                                                                   27th USENIX Security Symposium          367
                                                                                                                                                                 0
                     2000




                                                                                          Response time (ms), log. scale
                                                                                                                           10,000                             1000
                                                                                                                                                              2000
Matching time (ms)


                                                                  charset
                     1500                                                                                                                                     3000
                                                                    fresh
                                                                                                                            1,000                             4000
                                                               forwarded
                                                                                                                                                              5000
                     1000                                        content
                                                                                                                                                              6000
                                                            mobile-detect
                                                                                                                             100                              7000
                      500                                       platform
                                                                                                                                                              8000
                                                             ua-parser-js
                                                               useragent
                        0                                                                                                     10




                                                                                                                                    0


                                                                                                                                        5


                                                                                                                                              10


                                                                                                                                                      15


                                                                                                                                                             20


                                                                                                                                                                     25
                            0

                                 10

                                         20

                                                30

                                                       40

                                                               50

                                                                       60

                                                                                  70
                                                                                                                                            Request number
                                   00

                                          00

                                                 00

                                                        00

                                                                 00

                                                                            00

                                                                                   00
                                     0

                                            0

                                                   0

                                                          0

                                                                   0

                                                                              0

                                                                                     0
                                Input size (number of characters)                        Figure 8: Impact of differently sized payloads on a
                     Figure 7: Matching time for different input sizes.                  server’s response time. Note the logarithmic y-scale.
                                                                                         Payloads are plotted in increments of 1,000 characters.
4.2                     Matching Time
                                                                                         running Node.js, provided by a commercial cloud plat-
We use the exploits to measure the influence of the size of                              form8 .
the input to the matching time of the vulnerable expres-                                    We set up two other machines to concurrently send
sion (Figure 7). For most of the exploits, the input depen-                              request. One machine, called the victim, measures the
dency seem to be quadratic, reaching one second match-                                   time it takes to trigger 100 requests of the ”hello world”
ing time within 20,000 to 40,000 characters. For two                                     message. This victim machine triggers the next request
exploits, the input dependency is presumably exponen-                                    once the previous request has been responded to. At the
tial, reaching one second matching time with less than                                   same time, the other machine, called the attacker, deliv-
1,000 characters. We consider any of these eight exploits                                ers 1,000 ReDoS payloads, by triggering all 1,000 re-
to be harmful because they may impact a website’s avail-                                 quests at once. The victim machine starts its requests
ability (Section 4.3 and because even a non-exponential                                  immediately after the victim machine has triggered its
ReDoS vulnerability may aid an attacker in mounting a                                    requests.
DoS attack (Section 5.1).                                                                   We vary the payload size from 0 characters to 8,000
   To further illustrate the effectiveness of inputs crafted                             characters in increments of 1,000 characters. A zero-
for a specific regular expression, we measure the match-                                 sized payload is a request with an empty header instead
ing time for each vulnerable module with randomly cre-                                   of one that exploits the ReDoS vulnerability. We con-
ated inputs. It turns out that random string inputs of                                   sider the zero-sized payload to check whether a Node.js
the same size as our crafted exploits cause much lower                                   server can be blocked using a brute-force strategy. We
matching times. The maximum matching time across the                                     chose the upper limit for the payload size because, by de-
eight attacks is 20 milliseconds for inputs with 100,000                                 fault, the web server provider limits the size of the header
characters. We conclude that crafting inputs for vulner-                                 fields to 8,500 characters. Other hosting providers allow
able regular expressions is significantly more effective,                                significantly larger headers, as we report later in this sec-
from an attacker’s perspective, than launching a brute-                                  tion.
force DoS attack with randomly created inputs.                                              Figure 8 shows the response times measured at the vic-
                                                                                         tim machine for the first 25 ”/echo” requests. Payloads
                                                                                         smaller than 4,000 characters have no significant effect
4.3                     Availability                                                     on the response time of the server. In contrast, payloads
                                                                                         larger than this value delay as many as eight requests
We now show that the matching time of a regular ex-                                      with a maximum delay of 20 seconds. By increasing the
pression has a direct impact on the availability of a web                                size of payloads, an attacker can control both the number
server. To show the threat to availability posed by ReDoS                                of requests we delay and their duration. For the largest
exploits, we create a simple Express application with two                                payloads we use, we even experienced dropping of re-
features: it replies with a ”hello world” message when                                   quests.
called at the ”/echo” path, and it calls the forwarded                                      This result is particularly remarkable because an indi-
module with the request headers when called at the ”/re-                                 vidual payload of size 4,000 does not require an immense
dos” path. We choose this module because it appears in                                   amount of time to respond to. We separately measured
Figure 7 to be the least harmful in our set of exploits, i.e.,                           the CPU time required to respond to one such request
we are underestimating the negative impact on availabil-
ity. We then upload this simple application on a machine                                                       8 http://heroku.com




368                    27th USENIX Security Symposium                                                                                                  USENIX Association
                       500                                                       Module             P1:      P2:      P3:      P4:      P5:
                       450                                                                       100ms    200ms    500ms        1s       2s
                       400                                                       fresh           12,000   17,000   27,000   37,500   53,500
  Response time (ms)


                                                                                 forwarded       12,000   17,000   26,500   38,000   53,500
                       350
                                                                                 useragent          500      650      925    1,150    1,450
                       300                                                       ua-parser-js        38       39       40       41       42
                       250                                                       mobile-detect   10,500   15,500   25,000   36,500   50,500
                                                                                 platform         7,500   11,000   17,500   25,000   34,500
                       200                                                       charset         10,500   15,500   24,000   34,000   48,000
                       150                                                       content          8,000   11,000   18,000   25,500   35,500
                       100                                                      Figure 10: Number of characters in each payload needed
                        50                                                      to achieve a specific delay in a vulnerable module.
                             0

                                 50

                                      10

                                            15

                                                  20

                                                       25

                                                            30

                                                                 35

                                                                      40

                                                                           45
                                       0

                                              0

                                                   0

                                                        0

                                                             0

                                                                  0

                                                                       0

                                                                            0
                                           Matching time (ms)
                                                                                provider and the current server load, but we can safely
Figure 9: Correlation between server computation time                           conclude that measuring time at the client level is a good
and request response time.                                                      enough estimation of the server-side computation time.

and find it to take only 5.73 milliseconds, on average.
However, several requests together can delay the victim’s                       4.5    Dimensioning Exploits
request by up to 20 seconds. This finding shows that                            Choosing an appropriate size for the payload is a cru-
the ReDoS payloads have a cumulative effect and even a                          cial part in our methodology and distinguishes our study
small delay in the main loop can cause significant harm                         from a real DoS attack on websites. The goal of this step
for availability.                                                               is to find a payload size that is large enough to check
   We remind the reader that the above experiment uses                          whether a website is vulnerable to a specific attack, but
the smallest payload in our data set, forwarded. There-                         small enough to only block the website for a negligible
fore, if we show that even this exploit poses a threat to                       amount of time. To this end, we locally run each exploit
availability, we can conclude that the rest of the exploits                     five times with a payload of increasing size and stop the
also do. For more severe ReDoS vulnerabilities, e.g. in                         process when the matching time exceeds two seconds.
ua-parser-js, there is even no need to evaluate the im-                         We consider five target matching times, 100ms, 200ms,
pact on availability. As described in the Section 2, one                        500ms, 1s, and 2s, and choose the payload size that pro-
single such payload is enough to completely block the                           duces the closest matching time to the target time.
server for as long as the matching takes. Considering                              Figure 10 shows the values for each target time and
that with 50–60 characters we predict a CPU computa-                            vulnerable module. For example, for the platform vul-
tion time in the order of years, such vulnerabilities are a                     nerability, we obtain a matching time of 200ms with
very serious threat to availability.                                            a payload of 11,000 characters. The useragent and
                                                                                ua-parser-js packages, whose matching times grow
                                                                                at a much faster rate, requiring less than 1,500 characters
4.4                      Response Time vs. Matching Time
                                                                                to cause a delay of 2s.
Our methodology relies on the assumption that small
changes in the server computation time have an effect                           4.6    Vulnerable Sites
on clients. To validate this assumption we again use
the forwarded package and the commercial web server                             The goal of the next step is to assess to what extent real
setup from the previous section. We use 1,000 pay-                              websites suffer from ReDoS vulnerabilities. Based on
loads smaller than 8,000 characters. The largest one of                         the five payload sizes for each exploit, we create attack
these payloads produces a matching time smaller than                            payloads and random payloads for each exploit and pay-
100 milliseconds on our local machine. We measure                               load size. We send these payloads to the 2,846 real web-
the time spent by the server in the forwarded package                           sites that are running an Express webserver (Section 3.1).
and the time it takes for a request to be served at the                         We warm up the connection three times and then mea-
client level. We then plot the relation between these two                       sure five response times for both random and malicious
time measurements in Figure 9. The correlation between                          inputs. Using the methodology described in Section 3.4,
both measurements is 0.99, i.e., very strong. The strong                        we then decide based on the measured response times
correlation shows that the delays introduced by the net-                        whether a site is vulnerable. If for some reason, we
work layer are relatively constant over time and that the                       could not send three or more out of the five payloads to
server computation time is the dominant component in                            a specific website, we consider that website to be non-
the response time measured at the client-side. Of course,                       vulnerable.
the observed value depends on the chosen web server                                Overall, we observe that 339 sites suffer from at



USENIX Association                                                                               27th USENIX Security Symposium         369
                                    Random           Malicious                        Exploit          Affected sites
                        2500
   Response time (ms)                                                                 fresh                      241
                        2000                                                          forwarded                   99
                                                                                      ua-parser-js                41
                        1500                                                          useragent                   16
                                                                                      mobile-detect                9
                        1000
                                                                                      platform                     8
                         500                                                          charset                      3
                                                                                      content                      0
                            0
                                                                       Figure 12: Number of websites affected by specific vul-
                                 P1


                                         P2


                                                P3


                                                        P4


                                                                 P5
                                        Payload number
                                                                       nerabilities.
                         (a) Response time for an vulnerable site.
                                                                       4.7    Prevalence of Specific Vulnerabilities
                                    Random           Malicious
                        1800                                           Figure 12 shows the number of websites affected by each
                        1700
                        1600                                           vulnerability. Perhaps unsurprisingly, the vulnerabilities
   Response time (ms)




                        1500
                        1400                                           in fresh and forwarded have most impact, since these
                        1300
                        1200                                           two modules are part of the Express framework. One
                        1100                                           of them needs to be activated using a configuration op-
                        1000
                         900                                           tion, while the other module is enabled by default. One
                         800
                         700                                           may ask why not all Express analyzed websites suffer
                                 P1


                                         P2


                                                P3


                                                        P4


                                                                 P5




                                                                       from this problem. The reason is the way we dimension
                                        Payload number                 our payloads: Many Express instances limit the header
                        (b) Response time for a non-vulnerable site.   size, and hence we cannot send large enough payloads
Figure 11: Effect of increasing payload sizes on the re-               to confirm that the sites are vulnerable. The other six
sponse time of two websites.                                           vulnerabilities affect websites with a frequency that is
                                                                       roughly proportional to the popularity of the respective
least one of the eight vulnerabilities. 66 sites actu-                 modules. For example, the vulnerability in the popular
ally suffer from two vulnerabilities and six sites even                useragent affects more websites than the vulnerabil-
from three. This result shows that ReDoS attacks are                   ity in the less used charset module. To our initial sur-
a widespread problem that affects a large number of                    prise, we cannot confirm any site vulnerable due to the
real-world websites. Given that our methodology is de-                 content module. After more careful consideration, we
signed to underestimate the number of affected sites,                  realized that there are two more popular alternatives for
e.g., because we consider only eight exploits, the actual              parsing the Content-Header and the content package
number of ReDoS-vulnerable sites is likely to be even                  seems to be more popular among users of the hapi.js
higher. Moreover, we expect the growing popularity of                  framework, which is a competitor of Express.
JavaScript on the server side to further increase the prob-               From an attacker’s perspective, the distribution of vul-
lem in the future.                                                     nerabilities is great news, because exploits are portable
   To illustrate our methodology for deciding whether a                across websites and knowing a vulnerabilities is suffi-
site is vulnerable, consider two example websites. In                  cient to attack various websites. Likewise, the distribu-
Figure 11, we plot for each of the five payload sizes the              tion is also good news for the community, showing that
response time for malicious and random inputs. The fig-                one can lower the risk of ReDoS in multiple websites by
ure shows the mean and the confidence intervals for a                  fixing a relatively small set of popular packages.
vulnerable site in Figure 11a and for a non-vulnerable
site in Figure 11b. The response time grows signifi-                   4.8    Influence of Popularity
cantly faster for the malicious payloads in the vulnera-
ble site, reaching slightly more than two seconds for the              Are ReDoS vulnerabilities a problem of less popular
fifth payload. In contrast, for the non-vulnerable site, the           sites? In Figure 13, we show how the vulnerable sites
response time for both malicious and random payloads                   are distributed across the Alexa top one million sites.
seems to grow linearly. Since the confidence interval for              For each point p on the horizontal axis, the vertical axis
the response times in Figure 11b overlap, we classify this             shows the number of exploitable sites with popularity
website as non-vulnerable. By inspecting other websites                rank ≤ p. For example, there are 61 vulnerable sites
classified as vulnerable by our methodology, we observe                in the top 100,000 websites, with one site in top 1,000
patterns similar to Figure 11a. Therefore, we conclude                 and nine in top 10,000. As can be observed from the
that our criteria for deciding if a website is vulnerable              distribution, the vulnerabilities are roughly equally dis-
are valid.                                                             tributed among the top one million sites. There is even



370                     27th USENIX Security Symposium                                                       USENIX Association
      Number of vulnerable websites
                                                                                                         only, the number of websites that accept larger payloads
                                      350
                                      300
                                                                                                         decreases over time. This is surprising since for other ex-
                                      250                                                                ploits like mobile-detect there seem to be more web-
                                      200                                                                sites to accept 10,000 characters long headers. We be-
                                      150                                                                lieve this observation to be due to the fact that some
                                      100
                                       50
                                                                                                         websites refuse to process many requests from the same
                                        0                                                                user in a short period of time. For instance, our largest
                                                                                                         payload is sent after approximately 50 other requests of
                                                  10
                                                    20 00
                                                    30 00
                                                    40 00
                                                    50 00
                                                    60 00
                                                    70 00
                                                    80 00
                                                    90 00
                                                     0
                                                      0,
                                                      0,
                                                      0,
                                                      0,
                                                      0,
                                                      0,
                                                      0,
                                                      0,
                                                                                                         smaller size and the site refuses to serve it. This is a well
                                                       ,0

                                                         0
                                                         0
                                                         0
                                                         0
                                                         0
                                                         0
                                                         0
                                                         00
                                                            0
                                                                 Popularity ranking                      known network-level protection against DoS, but there
                                                                                                         seem to be only around 200 websites to implement it.
Figure 13: Cumulative distribution function showing the
                                                                                                         However, limiting the number of requests is no silver bul-
popularity of vulnerable sites. Each point on the graph
                                                                                                         let against denial of service attacks, especially when the
shows how many sites among the top x sites suffer from
                                                                                                         attacker has the resources to deploy a distributed denial
at least one vulnerability.
                                                                                                         of service attack.
                                      3000

                                      2500               fresh
 Number of websites




                                      2000         forwarded                                             4.10    Threats to Validity
                                                  ua-parser-js
                                      1500          useragent
                                                                                                         One threat to validity for our study is that we rely on time
                                              mobile-detect
                                      1000                                                               measurements performed over the network to estimate
                                                     platform
                                                                                                         the likelihood of a ReDoS vulnerability. One may argue
                                      500             charset
                                                      content
                                                                                                         that these measurements should not be trusted and that
                                        0                                                                pure chance made us observe some larger slowdowns
                                             10



                                                            10



                                                                         10



                                                                                      10



                                                                                               10




                                                                                                         for malicious payloads. We address this threat in mul-
                                                                 0



                                                                           00



                                                                                       00



                                                                                                00
                                                                                           0



                                                                                                    00




                                                                     Header size                         tiple ways: we show that for commercial web hosting
Figure 14: Number of websites that accept a payload of                                                   servers there is a high correlation between response time
a specific size. Note the logarithmic x-scale.                                                           and server CPU time, we repeat measurements multiple
                                                                                                         times, and we draw conclusions only from statistically
a slight tendency toward more vulnerabilities among the                                                  significant differences.
more popular websites. This tendency can be explained                                                       Another potential concern is that the exploits we cre-
by the trend we have seen in Figure 4, that server-side                                                  ated are too generic and happen to cause slowdown in
JavaScript tends to be more popular among popular web-                                                   another regular expression than the one we created them
sites. Overall, we can conclude that ReDoS vulnerabili-                                                  for. We believe that this situation would only impact our
ties are a general problem that affects sites independent                                                ability to tell which module is used on the server-side and
of their popularity ranking.                                                                             not the impact of a ReDoS attack. Moreover, five of our
                                                                                                         exploits rely on a specific sequence of characters in the
4.9                                    Use of Mitigation Techniques                                      payload to the effective. These sequences of highly con-
                                                                                                         textual characters need to be present in the beginning or
As mentioned before, some websites refuse to process a                                                   at the end of the exploit. Removing any of them would
request whose header size exceeds a certain size. In Fig-                                                make the exploit unusable. Therefore, we believe that
ure 14 we plot for each exploit how many websites accept                                                 at least for these vulnerabilities it is very likely that our
a payload of a given size. As can be observed, most web-                                                 exploits indeed trigger the intended regular expression.
sites accept headers that are smaller than 10,000 charac-
ters, but only few websites accept headers that are, for
instance, 40,000 characters long. As we have shown in
Section 4.3, 10,000 characters are enough to do harm                                                     5   Discussion
even with the least serious vulnerability. Therefore, the
current limits that the websites apply on the header size                                                In this section, we discuss the potential of a large-scale
are insufficient and they do not provide adequate protec-                                                DoS attack on Node.js websites and some defenses we
tion against DoS.                                                                                        recommend to minimize the impact of such an event.
   Another interesting trend to observe in Figure 14 is                                                  Finally, we describe an unexpected implication of our
that even for the most harmful exploit, useragent, for                                                   study: that algorithmic complexity attacks can be used
which we require payloads between 38 and 42 characters                                                   for software fingerprinting.



USENIX Association                                                                                                       27th USENIX Security Symposium          371
5.1    Impact of a Large-scale Attack                          advanced features may still contain ReDoS vulnerabil-
                                                               ities. For instance, during our vulnerability study, we
Compared to a regular DoS attack, a ReDoS vulnerabil-          found the following regular expression:
ity enables an attacker to launch an attack with fewer re-
                                                               / (?= . *\ bAndroid \ b )(?= . *\ bMobile \ b ) / i
sources. As shown in Section 4.3, even the least harmful
vulnerabilities we identify can be a lethal weapon when        This expression from the ismobilejs module contains
used as part of a large-scale DoS attack, because the at-      both lookahead and has super-linear complexity in a
tacker can send payloads that hang the loop for hundreds       backtracking engine.
of milliseconds, several seconds, or even more, depend-
ing on the vulnerability. We remind the reader that with           We also recommend that Node.js augments its regu-
just eight standard attack vectors we could affect hun-        lar expression APIs with an additional, optional time-
dreds of websites.                                             out parameter. Node.js will stop any matching of regular
   It is worth emphasizing once again that this issue          expressions that takes longer than the specified timeout.
would not be as serious in a traditional thread-based          This solution is far from perfect, but it is relatively easy
web server, such as Apache. This is because the match-         to implement and adopt, has been successfully deployed
ing would be done in a thread serving the individual           in other programming languages [25], and may also be
client. In contract, in an event-based system, the match-      feasible for Node.js [14].
ing is done in the main loop and spending a few seconds            Additionally, we advocate that our work should be
matching a regular expression is equivalent to completely      used as a roadmap for penetration testing sessions per-
blocking the server for this amount of time.                   formed on Node.js websites. First, the tester audits the
   A large-scale ReDoS attack against Node.js-based            list of package dependencies, identifies any known Re-
sites is a bleak scenario for which, as we have shown,         DoS vulnerability in these packages or analyzes all the
many websites are not prepared. To limit this risk, we         contained regular expressions. Second, the tester creates
have been working with the maintainers of vulnerable           payloads for all the vulnerable regular expressions iden-
modules to fix vulnerabilities. In addition, we urgently       tified in the first step. Third, the tester tries to deliver
call for the adoption of multiple layers of defense, as out-   these payloads using standard HTTP requests.
lined in the following.                                            Finally, better tools and techniques should be created
                                                               to help developers reason about ReDoS vulnerabilities in
                                                               server-side JavaScript. Both static and dynamic analysis
5.2    Defenses
                                                               tools can aid in understanding the complexity of regular
First of all, to limit the effect of a payload delivered       expressions and their performance. A good starting point
through an HTTP header, the size of the header should          could be porting existing solutions that were created for
be limited. For more than 15% sites, we could success-         other languages, e.g. [43].
fully deliver headers longer than 25,000 characters. We
are not aware of any benign use cases for such large
HTTP headers. Therefore, a best practice in Node.js ap-
plications should be to limit the size of request headers.     5.3     Fingerprinting Web Servers
This kind of defense would mitigate the effects of some
potential attacks, but is limited to vulnerabilities related   Part of our methodology could be used to fingerprint web
to HTTP headers. In contrast, vulnerabilities related to       servers to predict some of the third-party modules used
other inputs received from the network, e.g., the body of      by a website. This ability can be useful for an attacker in
an HTTP request, would remain exploitable.                     at least two ways. First, the attacker may try to temper
   Another defense mechanism could be to use a more            with the development process of that module by intro-
sophisticated regular expression engine that guarantees        ducing backdoors that can then be exploited in the live
linear matching time. The problem is that these en-            website. Given that npm modules often depend on sev-
gines do not support advanced regular expression fea-          eral others, the vulnerability can even be hidden in a
tures, such as look-ahead or back-references. Davis et         dependent module. Second, the attacker may exploit a
al. [11] advocate for a hybrid solution that only calls        more serious vulnerability present in the same module.
the backtracking engine when such advanced features are        To show how this scenario may happen, consider the
used, and to use a linear time algorithm in all other cases.   dns-sync vulnerability, identified in Section 4.1. The
This is an elegant solution that is already adopted by lan-    vulnerable function suffers both from a ReDoS attack
guages like Rust9 . However, it would not completely           and a command injection attack [37]. An attacker may
solve the problem, since some regular expressions with         use the ReDoS attack as a hard-to-detect way to scan
                                                               which sites use the vulnerable module and then attack
  9 https://github.com/rust-lang/regex                         these sites with a command injection.



372   27th USENIX Security Symposium                                                                        USENIX Association
6   Related Work                                              unexpectedly high complexity.
                                                              Resource Exhaustion Attacks SAFER [8] statically
Server-side JavaScript Ojamaa and Düüna [27] dis-           detects CPU and stack exhaustion vulnerabilities involv-
cuss the security of Node.js and identify algorithmic         ing recursive calls and loops. Huang et al. [19] study
complexity attacks as one of the main threats. Davis et       blocking operations in the Android system that can force
al. [11] show that ReDoS vulnerabilities are present in       the OS to reboot when called multiple times. Shan et
popular modules. We take these observations further and       al. [35] consider attacks on n-tier web applications and
show that ReDoS affects real websites. Other studies on       model them using a queueing network model.
Node.js explore command injection vulnerabilities [37]        Testing Regular Expressions The problem of gener-
and configuration errors [32]. Several techniques han-        ating inputs for regular expressions is also investigated
dle more general, Node.js-related issues: static analysis     from a software testing perspective [40], [24], [22], [34].
that handles Node.js-specific events [26], fuzzing to un-     In contrast to our work, these techniques aim at maxi-
cover concurrency-related bugs [12], auto-sanitization to     mizing coverage or finding bugs in the implementation.
protect against injections [37], and work on understand-
                                                              Performance of JavaScript ReDoS vulnerabilities are
ing event interactions between server-side and client-side
                                                              a kind of performance problem. Such problems are worth
code [1]. To the best of our knowledge, our work is the
                                                              fixing independent of their exploitability in a denial of
first to analyze Node.js security problems in real-world
                                                              service attack, e.g., to prevent websites from being per-
websites and to demonstrate how an attacker may exploit
                                                              ceived as slow and unresponsive. Existing work has stud-
vulnerabilities in npm modules to attack websites.
                                                              ied JavaScript performance issues [33] and proposed pro-
Analysis of ReDoS Vulnerabilities Prior work ana-             filing techniques to identify them [30, 17, 20]. Studying
lyzes the worst case matching time of regular expressions     the exploitability of other performance issues beyond Re-
[6, 41, 21, 2]. Most of this work assumes backtracking-       DoS is a promising direction for future work.
style matching and analyzes regular expressions in iso-       Studies of the Web Lauinger et al. [23] study the use
lation, ignoring whether attacker-controlled inputs reach     of client-side JavaScript libraries that are outdated and
it. Recent work by Wüstholz et al. [43] considers this       have known vulnerabilities. In contrast to their setup,
aspect. They combine static analysis and exploit genera-      we focus on ReDoS issues, on server-side code, and on
tion to find 41 vulnerabilities in Java software. Our work    code that is vulnerable despite being up-to-date. An-
differs in three ways: (i) we analyze JavaScript ReDoS,       other study looks into attack vectors and defenses related
which is more serious than Java ReDoS, (ii) we detect         to the postMessage API in HTML5 [36], showing that
vulnerabilities in real-world websites whose source code      attackers may use it to circumvent the same-origin pol-
is not available for analysis, and (iii) we uncover ReDoS     icy. A study by Richards et al. [31] analyzes the use of
vulnerabilities containing advanced features, e.g. looka-     JavaScript’s eval function, which is prone to code injec-
head, that are not supported by any of the previous work.     tions. All the above studies are orthogonal to our work.
A study performed concurrently with ours considers Re-        To the best of our knowledge, we are the first to focus on
DoS vulnerabilities in the npm ecosystem and confirms         server-side JavaScript and on ReDoS vulnerabilities.
that ReDoS is a serious threat for JavaScript code [13].
Regular Expressions Regular expressions are often
used for sanitizers and XSS filters. Bates et al. [5] show    7   Conclusions
that XSS filters are often slow, incorrect, and sometimes
even introduce new vulnerabilities. Hooimeijer et al. [18]    This paper studies ReDoS vulnerabilities in JavaScript-
show that supposedly equivalent implementations of san-       based web servers and shows that they are an important
itizers differ. A study by Chapman et al. [9] shows that      problem that affects various popular websites. We ex-
developers have difficulties in composing and reading         ploit eight vulnerabilities that affect at least 339 popular
regular expressions. We are the first to analyze the im-      websites. We show that an attacker could block these
pact of this problem on real-world websites. To avoid         vulnerable sites for several seconds and sometimes even
mistakes in regular expressions, developers may synthe-       much longer. More generally, our results are a call-to-
size instead of writing them [3, 4].                          arms to address the current lack of tools for analyzing
                                                              ReDoS vulnerabilities in JavaScript.
Algorithmic Complexity Attacks Differences be-
tween average and worst case performance are the ba-          Acknowledgments
sis of algorithmic complexity attacks. Crosby and Wal-        This work was supported by the German Federal Ministry of
lach [10] analyze vulnerabilities due to the performance      Education and Research and by the Hessian Ministry of Sci-
                                                              ence and the Arts within CRISP, by the German Research
of hash tables and binary trees, while Dietrich et al. [15]   Foundation within the ConcSys and Perf4JS projects, and by
study serialization-related attacks. Wise [7], Slow-          the Hessian LOEWE initiative within the Software-Factory 4.0
Fuzz [28], and PerfSyn [39] generate inputs to trigger        project.




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376   27th USENIX Security Symposium                        USENIX Association
