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Three notes on the complexity of model checking fixpoint logic with chop

Published online by Cambridge University Press:  18 July 2007

Martin Lange
Martin Lange*
Affiliation:
Department of Computer Science, University of Munich, Oettingenstr. 67, 80538 München, Germany; Martin.Lange@ifi.lmu.de
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Abstract

This paper analyses the complexity of model checking fixpoint logic with Chop – an extension of themodal μ-calculus with a sequential composition operator. It uses two known game-based characterisationsto derive the following results: the combined model checking complexity as well as the data complexity of FLC are EXPTIME-complete. This is already the case for its alternation-free fragment. The expressioncomplexity of FLC is trivially P-hard and limited from above by the complexity of solving a parity game, i.e. in UP ∩ co-UP. For any fragment of fixed alternation depth, in particular alternation-free formulas it is P-complete.

Keywords

Model checkinggamesEXPTIME-complete

Information

Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 41 , Issue 2 , April 2007, pp. 177 - 190
Copyright
© EDP Sciences, 2007

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