Duality and Completeness for US-Logics

Notre Dame Journal of Formal Logic 39 (2):231-242 (1998)
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Abstract

The semantics of e-models for tense logics with binary operators for `until' and `since' (US-logics) was introduced by Bellissima and Bucalo in 1995. In this paper we show the adequacy of these semantics by proving a general Henkin-style completeness theorem. Moreover, we show that for these semantics there holds a Stone-like duality theorem with the algebraic structures that naturally arise from US-logics

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Citations of this work

Finite Trees in Tense Logic.Bellissima Fabio & Cittadini Saverio - 1999 - Studia Logica 62 (2):121-140.

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References found in this work

Semantic analysis of tense logics.S. K. Thomason - 1972 - Journal of Symbolic Logic 37 (1):150-158.
Topology and duality in modal logic.Giovanni Sambin & Virginia Vaccaro - 1988 - Annals of Pure and Applied Logic 37 (3):249-296.
Axioms for tense logic. I. "Since" and "until".John P. Burgess - 1982 - Notre Dame Journal of Formal Logic 23 (4):367-374.
On some u,s-tense logics.Ming Xu - 1988 - Journal of Philosophical Logic 17 (2):181 - 202.
A Distinguishable Model Theorem for the Minimal US-Tense Logic.Fabio Bellissima & Anna Bucalo - 1995 - Notre Dame Journal of Formal Logic 36 (4):585-594.

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