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Journal of Applied Non-Classical Logics 9 (2-3):369-379 (1999)
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Abstract

ABSTRACT The paper studies propositional logics in a bimodal language, in which the first modality is interpreted as the local truth, and the second as the universal truth. The logic S4UC is introduced, which is finitely axiomatizable, has the f.m.p. and is determined by every connected separable metric space

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Valentin Shehtman
Moscow State University

Citations of this work

Stable canonical rules.Guram Bezhanishvili, Nick Bezhanishvili & Rosalie Iemhoff - 2016 - Journal of Symbolic Logic 81 (1):284-315.
Completeness of S4 with respect to the real line: revisited.Guram Bezhanishvili & Mai Gehrke - 2004 - Annals of Pure and Applied Logic 131 (1-3):287-301.
Spatial logic of tangled closure operators and modal mu-calculus.Robert Goldblatt & Ian Hodkinson - 2017 - Annals of Pure and Applied Logic 168 (5):1032-1090.
A ModalWalk Through Space.Marco Aiello & Johan van Benthem - 2002 - Journal of Applied Non-Classical Logics 12 (3-4):319-363.

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References found in this work

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Modal logic.Alexander Chagrov - 1997 - New York: Oxford University Press. Edited by Michael Zakharyaschev.
Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
Advice on modal logic.D. Scott - 1980 - In Karel Lambert (ed.), Philosophical problems in logic: some recent developments. Hingham, MA: Sold and distributed in the U.S.A. and Canada by Kluwer Boston. pp. 143--173.

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