Runtime verification is a computing system analysis and execution approach based on extracting information from a running system and using it to detect and possibly react to observed behaviors satisfying or violating certain properties. Some very particular properties, such as datarace and deadlock freedom, are typically desired to be satisfied by all systems and may be best implemented algorithmically. Other properties can be more conveniently captured as formal specifications. Runtime verification specifications are typically expressed in trace predicate formalisms, such as finite-state machines, regular expressions, context-free patterns, linear temporal logics, etc., or extensions of these. This allows for a less ad-hoc approach than normal testing. However, any mechanism for monitoring an executing system is considered runtime verification, including verifying against test oracles and reference implementations . When formal requirements specifications are provided, monitors are synthesized from them and infused within the system by means of instrumentation. Runtime verification can be used for many purposes, such as security or safety policy monitoring, debugging, testing, verification, validation, profiling, fault protection, behavior modification (e.g., recovery), etc. Runtime verification avoids the complexity of traditional formal verification techniques, such as model checking and theorem proving, by analyzing only one or a few execution traces and by working directly with the actual system, thus scaling up relatively well and giving more confidence in the results of the analysis (because it avoids the tedious and error-prone step of formally modelling the system), at the expense of less coverage. Moreover, through its reflective capabilities runtime verification can be made an integral part of the target system, monitoring and guiding its execution during deployment.

History and context Checking formally or informally specified properties against executing systems or programs is an old topic (notable examples are dynamic typing in software, or fail-safe devices or watchdog timers in hardware), whose precise roots are hard to identify. The terminology runtime verification was formally introduced as the name of a 2001 workshop aimed at addressing problems at the boundary between formal verification and testing. For large code bases, manually writing test cases turns out to be very time consuming. In addition, not all errors can be detected during development. Early contributions to automated verification were made at the NASA Ames Research Center by Klaus Havelund and Grigore Rosu to archive high safety standards in spacecraft, rovers and avionics technology.Klaus Havelund and Grigore Rosu. 2004. An Overview of the Runtime Verification Tool Java PathExplorer. Formal Methods in System Design, 24(2), March 2004. They proposed a tool to verify specifications in temporal logic and to detect race conditions and deadlocks in Java programs by analyzing single execution paths.

Currently, runtime verification techniques are often presented with various alternative names, such as runtime monitoring, runtime checking, runtime reflection, runtime analysis, dynamic analysis, runtime/dynamic symbolic analysis, trace analysis, log file analysis, etc., all referring to instances of the same high-level concept applied either to different areas or by scholars from different communities. Runtime verification is intimately related to other well-established areas, such as testing (particularly model-based testing) when used before deployment and fault-tolerant systems when used during deployment.

Within the broad area of runtime verification, one can distinguish several categories, such as: "specification-less" monitoring that targets a fixed set of mostly concurrency-related properties such as atomicity. The pioneering work in this area is by Savage et al. with the Eraser algorithmStefan Savage, Michael Burrows, Greg Nelson, Patrick Sobalvarro, and Thomas Anderson. 1997. Eraser: a Dynamic Data Race Detector for Multithreaded Programs. ACM Trans. Comput. Syst. 15(4), November 1997, pp. 391-411. monitoring with respect to temporal logic specifications; early contributions in this direction has been made by Lee, Kannan, and their collaborators,Moonjoo Kim, Mahesh Viswanathan, Insup Lee, Hanêne Ben-Abdellah, Sampath Kannan, and Oleg Sokolsky, Formally Specified Monitoring of Temporal Properties, Proceedings of the European Conference on Real-Time Systems, June 1999.Insup Lee, Sampath Kannan, Moonjoo Kim, Oleg Sokolsky, Mahesh Viswanathan, Runtime Assurance Based On Formal Specifications, Proceedings of International Conference on Parallel and Distributed Processing Techniques and Applications, June 1999. and Havelund and Rosu,.Klaus Havelund, Using Runtime Analysis to Guide Model Checking of Java Programs, 7th International SPIN Workshop, August 2000.Klaus Havelund and Grigore Rosu, Monitoring Programs using Rewriting, Automated Software Engineering (ASE'01), November 2001.

Basic approaches

The broad field of runtime verification methods can be classified by three dimensions: The system can be monitored during the execution itself (online) or after the execution e.g. in form of log analysis (offline). The verifying code is integrated into the system (as done in Aspect-oriented Programming) or is provided as an external entity. The monitor can report violation or validation of the desired specification.

Nevertheless, the basic process in runtime verification remains similar:Yliès Falcone, Klaus Havelund and Giles, A Tutorial on Runtime Verification, 2013 A monitor is created from some formal specification. This process usually can be done automatically if there are equivalent automata for the formulas of the formal language the property is specified in. To transform a regular expression, a finite-state machine can be used; a property in linear temporal logic can be transformed into a Büchi automaton (see also Linear temporal logic to Büchi automaton). The system is instrumented to send events concerning its execution state to the monitor. The system is executed and gets verified by the monitor. The monitor verifies the received event trace and produces a verdict whether the specification is satisfied. Additionally, the monitor sends feedback to the system to possibly correct false behaviour. When using offline monitoring the system of cause cannot receive any feedback, as the verification is done at a later point in time.

Examples The examples below discuss some simple properties that have been considered, possibly with small variations, by several runtime verification groups by the time of this writing (April 2011). To make them more interesting, each property below uses a different specification formalism and all of them are parametric. Parametric properties are properties about traces formed with parametric events, which are events that bind data to parameters. Here a parametric property has the form , where is a specification in some appropriate formalism referring to generic (uninstantiated) parametric events. The intuition for such parametric properties is that the property expressed by must hold for all parameter instances encountered (through parametric events) in the observed trace. None of the following examples are specific to any particular runtime verification system, though support for parameters is obviously needed. In the following examples Java syntax is assumed, thus "==" is logical equality, while "=" is assignment. Some methods (e.g., update() in the UnsafeEnumExample) are dummy methods, which are not part of the Java API, that are used for clarity.

HasNext

The Java Iterator interface requires that the hasNext() method be called and return true before the next() method is called. If this does not occur, it is very possible that a user will iterate "off the end of" a Collection. The figure to the right shows a finite-state machine that defines a possible monitor for checking and enforcing this property with runtime verification. From the unknown state, it is always an error to call the next() method because such an operation could be unsafe. If hasNext() is called and returns true, it is safe to call next(), so the monitor enters the more state. If, however, the hasNext() method returns false, there are no more elements, and the monitor enters the none state. In the more and none states, calling the hasNext() method provides no new information. It is safe to call the next() method from the more state, but it becomes unknown if more elements exist, so the monitor reenters the initial unknown state. Finally, calling the next() method from the none state results in entering the error state. What follows is a representation of this property using parametric past time linear temporal logic.

This formula says that any call to the next() method must be immediately preceded by a call to hasNext() method that returns true. The property here is parametric in the Iterator i. Conceptually, this means that there will be one copy of the monitor for each possible Iterator in a test program, although runtime verification systems need not implement their parametric monitors this way. The monitor for this property would be set to trigger a handler when the formula is violated (equivalently when the finite-state machine enters the error state), which will occur when either next() is called without first calling hasNext(), or when hasNext() is called before next(), but returned false.

UnsafeEnum

The Vector class in Java has two means for iterating over its elements. One may use the Iterator interface, as seen in the previous example, or one may use the Enumeration interface. Besides the addition of a remove method for the Iterator interface, the main difference is that Iterator is "fail fast" while Enumeration is not. What this means is that if one modifies the Vector (other than by using the Iterator remove method) when one is iterating over the Vector using an Iterator, a ConcurrentModificationException is thrown. However, when using an Enumeration this is not a case, as mentioned. This can result in non-deterministic results from a program because the Vector is left in an inconsistent state from the perspective of the Enumeration. For legacy programs that still use the Enumeration interface, one may wish to enforce that Enumerations are not used when their underlying Vector is modified. The following parametric regular pattern can be used to enforce this behavior:

∀ Vector v, Enumeration e: (e = v.elements()) (e.nextElement())* v.update() e.nextElement()

This pattern is parametric in both the Enumeration and the Vector. Intuitively, and as above runtime verification systems need not implement their parametric monitors this way, one may think of the parametric monitor for this property as creating and keeping track of a non-parametric monitor instance for each possible pair of Vector and Enumeration. Some events may concern several monitors at the same time, such as v.update(), so the runtime verification system must (again conceptually) dispatch them to all interested monitors. Here the property is specified so that it states the bad behaviors of the program. This property, then, must be monitored for the match of the pattern. The figure to the right shows Java code that matches this pattern, thus violating the property. The Vector, v, is updated after the Enumeration, e, is created, and e is then used.

SafeLock