Improved model checking of hierarchical systems

Benjamin Aminof*, Orna Kupferman, Aniello Murano

*Corresponding author for this work

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

2 Scopus citations

Abstract

We present a unified game-based approach for branching-time model checking of hierarchical systems. Such systems are exponentially more succinct than standard state-transition graphs, as repeated sub-systems are described only once. Early work on model checking of hierarchical systems shows that one can do better than a naive algorithm that "flattens" the system and removes the hierarchy. Given a hierarchical system and a branching-time specification ψ for it, we reduce the model-checking problem (does satisfy ψ?) to the problem of solving a hierarchical game obtained by taking the product of with an alternating tree automaton for ψ. Our approach leads to clean, uniform, and improved model-checking algorithms for a variety of branching-time temporal logics. In particular, by improving the algorithm for solving hierarchical parity games, we are able to solve the model-checking problem for the μ-calculus in Pspace and time complexity that is only polynomial in the depth of the hierarchy. Our approach also leads to an abstraction-refinement paradigm for hierarchical systems. The abstraction maintains the hierarchy, and is obtained by merging both states and sub-systems into abstract states.

Original languageAmerican English
Title of host publicationVerification, Model Checking, and Abstract Interpretation - 11th International Conference, VMCAI 2010, Proceedings
Pages61-77
Number of pages17
DOIs
StatePublished - 2010
Event11th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2010 - Madrid, Spain
Duration: 17 Jan 201019 Jan 2010

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5944 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2010
Country/TerritorySpain
CityMadrid
Period17/01/1019/01/10

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