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Model Checking with Finite Complete Prefixes Is PSPACE-Complete

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CONCUR 2000 — Concurrency Theory (CONCUR 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1877))

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Abstract

Unfoldings are a technique for verification of concurrent and distributed systems introduced by McMillan. The method constructs a finite complete prefix, which can be seen as a symbolic representation of an interleaved reachability graph. We show that model checking a fixed size formula of several temporal logics, including LTL, CTL, and CTL*, is PSPACE-complete in the size of a finite complete prefix of a 1-safe Petri net. This proof employs a class of 1-safe Petri nets for which it is easy to generate a finite complete prefix in polynomial time.

The financial support of Helsinki Graduate School in Computer Science and Engineering, Academy of Finland (Project 47754), Foundation for Financial Aid at Helsinki University of Technology, Emil Aaltonen Foundation, and Nokia Foundation are gratefully acknowledged.

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Author information

Authors and Affiliations

  1. Laboratory for Theoretical Computer Science, Helsinki University of Technology, P.O. Box 5400, FIN-02015 HUT, Finland

    Keijo Heljanko

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  1. Keijo Heljanko
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Pennsylvania State University, 220 Pond Laboratory, University Park, PA, 16802-6106, USA

    Catuscia Palamidessi

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Heljanko, K. (2000). Model Checking with Finite Complete Prefixes Is PSPACE-Complete. In: Palamidessi, C. (eds) CONCUR 2000 — Concurrency Theory. CONCUR 2000. Lecture Notes in Computer Science, vol 1877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44618-4_10

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  • DOI: https://doi.org/10.1007/3-540-44618-4_10

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  • Print ISBN: 978-3-540-67897-7

  • Online ISBN: 978-3-540-44618-7

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