Pushdown specifications

Orna Kupferman, Nir Piterman, Moshe Y. Vardi

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

38 Scopus citations


Traditionally, model checking is applied to finite-state systems and regular specifications. While researchers have successfully extended the applicability of model checking to infinite-state systems, almost all existing work still consider regular specification formalisms. There are, however, many interesting non-regular properties one would like to model check. In this paper we study model checking of pushdown specifications. Our specification formalism is nondeterministic pushdown parity tree automata (PD-NPT).We show that the model-checking problem for regular systems and PD-NPT specifications can be solved in time exponential in the system and the specification. Our model-checking algorithm involves a new solution to the nonemptiness problem of nondeterministic pushdown tree automata, where we improve the best known upper bound from a triple-exponential to a single exponential. We also consider the model-checking problem for context-free systems and PD-NPT specifications and show that it is undecidable.

Original languageAmerican English
Title of host publicationLogic for Programming, Artificial Intelligence, and Reasoning - 9th International Conference, LPAR 2002, Proceedings
EditorsMatthias Baaz, Andrei Voronkov
PublisherSpringer Verlag
Number of pages16
ISBN (Print)3540000100, 9783540000105
StatePublished - 2002
Event9th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2002 - Tbilisi, Georgia
Duration: 14 Oct 200218 Oct 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference9th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2002

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2002.


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