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Completeness and decidability of tense logics closely related to logics above K4

Published online by Cambridge University Press:  12 March 2014

Frank Wolter
Frank Wolter*
Affiliation:
School of Information Science, Jaist, Tatsunokuchi, Ishikawa 923-12, Japan, E-mail: wolter@jaist.ac.jp
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Abstract

Tense logics formulated in the bimodal propositional language are investigated with respect to Kripke-completeness (completeness) and decidability. It is proved that all minimal tense extensions of modal logics of finite width (in the sense of K. Kine) as well as all minimal tense extensions of cofinal subframe logics (in the sense of M. Zakharyaschev) are complete. The decidability of all finitely axiomatizable minimal tense extensions of cofinal subframe logics is shown. A number of variations and extensions of these results are also presented.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 62 , Issue 1 , March 1997 , pp. 131 - 158
Copyright
Copyright © Association for Symbolic Logic 1997

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