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Publication type: Article in Proceedings
Author: Rob Myers, Dirk Pattinson, Lutz Schröder
Editor: Luca de Alfaro
Title: Coalgebraic Hybrid Logic
Book / Collection title: Foundations of Software Science and Computation Structures (FOSSACS 2009)
Volume: 5504
Page(s): 137 – 151
Series: Lecture Notes in Computer Science
Year published: 2009
Publisher: Springer
Abstract: We introduce a generic framework for hybrid logics, i.e. modal logics additionally featuring nominals and satisfaction operators, thus providing the necessary facilities for reasoning about individual states in a model. This framework, coalgebraic hybrid logic, works at the same level of generality as coalgebraic modal logic, and in particular subsumes, besides normal hybrid logics such as hybrid K, a wide variety of logics with non-normal modal operators such as probabilistic, graded, or coalitional modalities and non-monotonic conditionals. We prove a generic finite model property and an ensuing weak completeness result, and we give a semantic criterion for decidability in PSPACE. Moreover, we present a fully internalised PSPACE tableau calculus. These generic results are easily instantiated to particular hybrid logics and thus yield a wide range of new results, including e.g. decidability in PSPACE of probabilistic and graded hybrid logics.
PDF Version: http://www.informatik.uni-bremen.de/~lschrode/papers/chl.pdf
Keywords: coalgebra hybrid logic decision procedures polynomial space hilbert gentzen sequent tableaux
Status: Reviewed
Last updated: 27. 03. 2009

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