Title
Directed Explicit State-Space Search in the Generation of Counterexamples for Stochastic Model Checking
Abstract
Current stochastic model checkers do not make counterexamples for property violations readily available. In this paper, we apply directed explicit state-space search to discrete and continuous-time Markov chains in order to compute counterexamples for the violation of PCTL or CSL properties. Directed explicit state-space search algorithms explore the state space on-the-fly, which makes our method very efficient and highly scalable. They can also be guided using heuristics which usually improve the performance of the method. Counterexamples provided by our method have two important properties. First, they include those traces which contribute the greatest amount of probability to the property violation. Hence, they show the most probable offending execution scenarios of the system. Second, the obtained counterexamples tend to be small. Hence, they can be effectively analyzed by a human user. Both properties make the counterexamples obtained by our method very useful for debugging purposes. We implemented our method based on the stochastic model checker PRISM and applied it to a number of case studies in order to illustrate its applicability.
Year
DOI
Venue
2010
10.1109/TSE.2009.57
Software Engineering, IEEE Transactions
Keywords
Field
DocType
csl property,important property,explicit state-space search algorithm,stochastic model checking,property violation,current stochastic model checker,debugging purpose,continuous-time markov chain,stochastic model checker,case study,directed explicit state-space search,explicit state-space search,probabilistic logic,shape,counterexamples,stochastic model,continuous time markov chain,debugging,stochastic processes,space exploration,heuristic search,markov processes,state space,sampling methods,formal verification,search algorithm
Search algorithm,Markov process,Computer science,Markov chain,Stochastic process,Theoretical computer science,State space search,Heuristics,Stochastic modelling,State space
Journal
Volume
Issue
ISSN
36
1
0098-5589
Citations 
PageRank 
References 
37
1.15
40
Authors
2
Name
Order
Citations
PageRank
Husain Aljazzar12129.05
Stefan Leue21199108.55