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Publication type: Article in Proceedings
Author: Lutz Schröder
Editor: Luca Aceto, Anna Ingólfsdóttir
Title: A Finite Model Construction for Coalgebraic Modal Logic
Book / Collection title: Foundations Of Software Science And Computation Structures
Volume: 3921
Page(s): 157 – 171
Series: Lecture Notes in Computer Science
Year published: 2006
Publisher: Springer, Berlin
Abstract: In recent years, a tight connection has emerged between modal logic on the one hand and coalgebras, understood as generic transition systems, on the other hand. Here, we prove that (finitary) coalgebraic modal logic has the finite model property. This fact not only reproves known completeness results for coalgebraic modal logic, which we push further by establishing that every coalgebraic modal logic admits a complete axiomatization of rank 1; it also enables us to establish a generic decidability result and a first complexity bound. Examples covered by these general results include, besides standard Hennessy-Milner logic, graded modal logic and probabilistic modal logic.
Internet: http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/11690634_11
PDF Version: http://www.informatik.uni-bremen.de/~lschrode/papers/CMLfmp.pdf
PostScript Version: http://www.informatik.uni-bremen.de/~lschrode/papers/CMLfmp.ps
Keywords: Coalgebra modal logic finite model decision procedure probabilistic modal logic
Note / Comment: EATCS Best Paper Award at ETAPS 2006
Status: Reviewed
Last updated: 02. 11. 2006

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