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

Journal of Symbolic Logic 62 (1):131-158 (1997)

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
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DOI 10.2307/2275736
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References found in this work BETA

Logics of Time and Computation.Robert Goldblatt - 1990 - Studia Logica 49 (2):284-286.
Tense Logic Without Tense Operators.Frank Wolter - 1996 - Mathematical Logic Quarterly 42 (1):145-171.
A Counterexample in Tense Logic.Frank Wolter - 1996 - Notre Dame Journal of Formal Logic 37 (2):167-173.
A Modal Analog for Glivenko's Theorem and its Applications.V. V. Rybakov - 1992 - Notre Dame Journal of Formal Logic 33 (2):244-248.

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Citations of this work BETA

On Logics with Coimplication.Frank Wolter - 1998 - Journal of Philosophical Logic 27 (4):353-387.
The Structure of Lattices of Subframe Logics.Frank Wolter - 1997 - Annals of Pure and Applied Logic 86 (1):47-100.
Technical Modal Logic.Marcus Kracht - 2011 - Philosophy Compass 6 (5):350-359.
Filtration Safe Operations on Frames.Stanislav Kikot, Ilya Shapriovsky & Evgeny Zolin - 2014 - In Rajeev Goré, Barteld Kooi & Agi Kurucz (eds.), Advances in Modal Logic, Volume 10. CSLI Publications. pp. 333-352.

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