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Decidable fragments of first-order modal logics

Published online by Cambridge University Press:  12 March 2014

Frank Wolter  and
Michael Zakharyaschev
Frank Wolter
Affiliation:
Institut für Informatik, Universität Leipzig, Augustus-Platz 10-11, 04109 Leipzig, Germany, E-mail: wolter@informatik.uni-leipzig.de
Michael Zakharyaschev
Affiliation:
Department of Computer Science, King's College London, Strand, London WC2R 2LS, UK, E-mail: mz@dcs.kcl.ac.uk
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Abstract

The paper considers the set of first-order polymodal formulas the modal operators in which can be applied to subformulas of at most one free variable. Using a mosaic technique, we prove a general satisfiability criterion for formulas in , which reduces the modal satisfiability to the classical one. The criterion is then used to single out a number of new, in a sense optimal, decidable fragments of various modal predicate logics.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 66 , Issue 3 , September 2001 , pp. 1415 - 1438
Copyright
Copyright © Association for Symbolic Logic 2001

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