Studia Logica 109 (5):1093-1118 (2021)

A finitely alternative normal tense logic \ is a normal tense logic characterized by frames in which every point has at most n future alternatives and m past alternatives. The structure of the lattice \\) is described. There are \ logics in \\) without the finite model property, and only one pretabular logic in \\). There are \ logics in \\) which are not finitely axiomatizable. For \, there are \ logics in \\) without the FMP, and infinitely many pretabular extensions of \.
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DOI 10.1007/s11225-021-09942-5
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References found in this work BETA

Past, present and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.
Time and modality.A. N. PRIOR - 1957 - Revue Philosophique de la France Et de l'Etranger 148:114-115.
Papers on time and tense.A. Prior - 1970 - Revue Philosophique de la France Et de l'Etranger 160:500-501.
Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
Semantic Analysis of Tense Logics.S. K. Thomason - 1972 - Journal of Symbolic Logic 37 (1):150-158.

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Citations of this work BETA

Tabularity and Post-Completeness in Tense Logic.Qian Chen & Minghui Ma - forthcoming - Review of Symbolic Logic:1-18.

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The Lattice of Normal Modal Logics (Preliminary Report).Wolfgang Rautenberg - 1977 - Bulletin of the Section of Logic 6 (4):193-199.
Tense Logic Without Tense Operators.Frank Wolter - 1996 - Mathematical Logic Quarterly 42 (1):145-171.
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