Computation tree logic model checking software

We outline previous e orts to encode this problem using dependency graphs and their symbolic extension. Modeling in software model checking software model checker works directly on the source code of a program but it is a wholeprogramanalysis technique requires the user to provide the model of the environment with which the. More specifically, we introduce a 3valued version of probabilistic computation tree logic pctl and give a model checking algorithm w. In model checking, two alternative temporal logics are commonly used. Automatic verification of finitestate concurrent systems. Hence, their reliability and dependability increasingly depends on software. An approach of xml query evaluation based model checking. Principles of model checking, by two principals of model checking research, offers an extensive and thorough coverage of the state of art in computeraided verification. For instance, we will write formally statements such as. Based on this, we propose a quantum extension of pctl and develop an algorithm for model checking. Logicbased methods for assurance of complex system. Integration of formal methods with uml diagrams adds semantics to uml diagrams, enabling formal verification and validation during software. Modelchecking, is a technique to automatically determine whether a system model satisfies a specification. Infinite tree computation tree logic ctl propositional linear temporal logic.

Temporal logic is considered a variant of modal logic, which is a branch of logic dealing with propositions that can be expressed as a set of possible worlds. Temporal logic and model checking university of cambridge. So, we use computational tree logic on transition systems for model checking. A simplified form of timed tctl for standard model checking queries i. Model checking computation tree logic over finite lattices. International journal on software tools for technology 41, 3456. Model checking quantified computation tree logic springerlink. Complexity 5 which propositions are true at which states.

Discrete time markov chain probabilistic computation tree logic. Temporal logic and model checking model mathematical structure extracted from hardware or software temporal logic provides a language for specifying functional properties model checking checks whether a given property holds of a model model checking is a kind of static veri. Browse other questions tagged logic model checking software verification computation tree logic bdd or ask your own question. Bottomup computation basic algorithm proceeds by induction on parse tree of. It is used in formal verification of software or hardware artifacts, typically by. Probabilistic computational tree logic pctl temporal logic for describing properties of mcs. Model checking temporal logic formulas using sticker automata. Rich counterexamples for temporalepistemic logic model. We define quantum computation tree logic, a quantum extension of pctl and ctl. Introduction in the traditional approach to concurrent program verification, the proof that a program meets its specification is constructed by hand using various axioms and. Logic modeling a logic model presents a picture or a narrative of how processes communicate with one another. Quantitative computation tree logic model checking based. The aim of this paper is to show how big model checking problems for computation tree logic ctl can be handled by using current powerful vector processors. Temporal logic model checking automatic verification technique for finite state concurrent systems.

For more complex properties, the gna group has developed its own logic, called computation tree regular logic. In case the property does not behave as requested, the model checker. Joostpieter katoen chair software modeling and veri cation october 14, 20. Computation tree logic model checking based on possibility. Quantum computation tree logic model checking and complete calculus. Model check modal logic temporal logic propositional formula symmetry reduction. Kripke structure tree of computation s2 s1 s3 s2 s1 s3 s2 s1 s1 s3 s1 s3 s1 s2 s3. Onthefly model checking of weighted computation tree logic. The book serves as an introduction to the field suitable for classroom use and as an essential guide for researchers.

Counterexample when a property is not fulfilled limitations. For achieving this, the expected properties need to be formalized into temporary logic computation tree logic ctl 31. Computation tree logic propositional temporal logic with explicit quantification over possible futures syntax. Temporal logic is a branch of symbolic logic which is concerned with problems on propositions that have truth values dependent on time. Developed independently by clarke, emerson, and sistla and by queille and sifakis in early 1980s. To address this challenge, a model checking method is proposed.

Btl and tree automata classes of temporal properties safety, liveness, etc. This logic extends ctl with regular expressions and fairness operators, allowing the expression of properties such. With its coverage of timed and probabilistic systems, the reader gets a textbook exposition of some of the most advanced topics in model checking research. Pctl is a useful logic for stating soft deadline properties, e. While it started as a new approach replacing the then common floydhoare. Methodology for integrating computational tree logic model.

We study the model checking problembaier and katoen, 2008 for petl logic, with the following contributions. Propositional logic temporal logic modelchecking benefit. Branchingtime propositional temporal logic model a tree of computation paths 7 s1 s2 s3 s2 s1 s3 s2 s1 s3 s2 s1 s1 s3 s1 s3 kripkestructure tree of computation. Quantitative computation tree logic model checking based on generalized possibility measures yongming li. By being based on properties formalized in temporal logic, model. Computation tree logic, finitestate concurrent systems, model checking, temporal logic 1.

Akin ctl suitability for model checking pctl extension is widely used as a property specification language for probabilistic model. Therac25 radiation overdosing 198587 radiation machine for treatment of. Pneuli proposed temporal logic model checking concept. Verification procedure is an exhaustive search of the state space. Model checking algorithm searches the whole state space. Model checking of software patrice godefroid bell laboratories, lucent technologies. State transition graph infinite computation tree the semantics of a fsm is a set of traces. Automated program analysis with software model checking. Finally we illustrate the use of the logic by reasoning.

Pdf quantum computation tree logic model checking and. Propositional temporal logic is not suitable for expressing properties on the evolution of dynamically allocated entities over time. Currently, software systems for boolean grns use branching time almost. We study generalized possibilistic computation tree logic model checking in this paper, which is an extension of possibilistic computation logic model checking introduced by y.

Specifications are written in propositional temporal logic. Computer science stack exchange is a question and answer site for students, researchers and practitioners of computer science. The model checking algorithm for a combination of the computation tree logic ctl and the propositional logic of knowledge plk in multiagent systems with perfect recall is revised. Query evaluation with model checking based computation tree logic compared to the popular use of formal verification techniques in software. Motivation, background, and course organization prof. Computation tree logic ctl is a branchingtime logic, meaning that its model of time is a treelike structure in which the future is not determined. Model checking and temporal logic model checking is based on mainly temporal logic. The models m are transition systems the properties. Linear temporal logic ltl, computational tree logic ctl, ctl, calculus, etc. Satbased model checking, counterexampleguided abstraction refinement, and software model checking.

In particular, it is not possible to trace such entities through computation steps, since this requires the ability to freely mix quantification and temporal operators. In this lecture we will cover ctl, a logic to reason about sequence of events. Computation tree logic ctl is a branchingtime logic, meaning that its model of time is a tree like structure in which the future is not determined. The user in this case can express simple properties in ctl. Probabilistic alternatingtime temporal logic and model checking algorithm. Temporal logic model checking model checking is an automatic verification technique for finite state concurrent systems. Probabilistic alternatingtime temporal logic and model. Model checking quantum markov chains sciencedirect. For its semantics, the knowledge operatork i is dened over agentis indistinguishable relation and the probabilistic operator. Hardware, software sequential, concurrent reactive, terminating. Taolue chen1,2 jian lu2 1 cwi, department of software engineering, p. Model the system using the description language of a model checker. It has been established as one of the most effective formal verification techniques for analyzing the correctness of software and hardware designs.

Temporal logic model checking systems are modeled by finite state machines. However, refering to this wikipedia article the ctl. Xue, lei and li \citexue09 defined computation tree logic ctl based on possibility measures, which is called possibilistic ctl poctl. Specifications in kripke structures are verified by computation tree logic ctl. Vectorized model checking for computation tree logic. We demonstrate how to model check weighted ctl through xedpoint computation on a graph. In other words, its an illustration of a sequence of causeandeffect relationships that are both going down the same path to achieve the same end results. Kansas state university, usa software model checking tutorial.

There are three temporal logics used in model checking. In this chapter, we describe a model checking based veri. It is used in formal verification of software or hardware artifacts, typically by software applications known as model checkers which determine if. As an important complex problem, the temporal logic model checking problem is still far from being fully resolved under the circumstance of dna computing, especially computation tree logic ctl, interval temporal logic itl, and projection temporal logic ptl, because there is still a lack of approaches for dna model checking. Acm turing award 2007 specifications are written in propositional temporal logic. In order to deal with the systematic verification with uncertain infromation in possibility theory, li and li \citeli12 introduced model checking of lineartime properties in which the uncertainty is modeled by possibility measures.