Model theory for tense logic: Saturated and special models with applications to the tense hierarchy

Studia Logica 40 (2):89 - 98 (1981)
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Abstract

The aims of this paper are: (1) to present tense-logical versions of such classical notions as saturated and special models; (2) to establish several fundamental existence theorems about these notions; (3) to apply these powerful techniques to tense complexity.In this paper we are concerned exclusively with quantifiedK 1 (for linear time) with constant domain. Our present research owes much to Bowen [2], Fine [5] and Gabbay [6].

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References found in this work

Past, present and future.Arthur N. Prior - 1967 - Oxford,: Clarendon P..
Past, present, and future.Arthur Prior - 1967 - Revue Philosophique de la France Et de l'Etranger 157:476-476.
Model theory for modal logic—part II The elimination of de re modality.Kit Fine - 1978 - Journal of Philosophical Logic 7 (1):277 - 306.
Model theory for tense logics.Dov M. Gabbay - 1975 - Annals of Mathematical Logic 8 (1):185.
An algebraic study of tense logics with linear time.R. A. Bull - 1968 - Journal of Symbolic Logic 33 (1):27-38.

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