Model Checking Probabilistic Pushdown Automata

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Authors	ESPARZA Javier KUČERA Antonín MAYR Richard
Year of publication	2006
Type	Article in Periodical
Magazine / Source	Logical Methods in Computer Science
MU Faculty or unit	Faculty of Informatics
Citation
Web	LMCS home page
Field	Informatics
Keywords	pushdown automata; Markov chains; probabilistic model checking
Description	We consider the model checking problem for probabilistic pushdown automata (pPDA) and properties expressible in various probabilistic logics. We start with properties that can be formulated as instances of a generalized random walk problem. We prove that both qualitative and quantitative model checking for this class of properties and pPDA is decidable. Then we show that model checking for the qualitative fragment of the logic PCTL and pPDA is also decidable. Moreover, we develop an error-tolerant model checking algorithm for PCTL and the subclass of stateless pPDA. Finally, we consider the class of omega-regular properties and show that both qualitative and quantitative model checking for pPDA is decidable.
Related projects:	Institute for Theoretical Computer Science Highly Parallel and Distributed Computing Systems