Modal logics of closed domains on Minkowski plane ★

Journal of Applied Non-Classical Logics 17 (3):397-414 (2007)
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Abstract

In this paper we study modal logics of closed domains on the real plane ordered by the chronological future relation. For the modal logic determined by an arbitrary closed convex domain with a smooth bound, we present a finite axiom system and prove the finite modal property.

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References found in this work

Logics containing k4. part II.Kit Fine - 1985 - Journal of Symbolic Logic 50 (3):619-651.
Diodorean modality in Minkowski spacetime.Robert Goldblatt - 1980 - Studia Logica 39 (2-3):219 - 236.
Chronological Future Modality in Minkowski Spacetime.Ilya Shapirovsky & Valentin Shehtman - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 437-459.
On PSPACE-decidability in Transitive Modal Logic.Ilya Shapirovsky - 1998 - In Marcus Kracht, Maarten de Rijke, Heinrich Wansing & Michael Zakharyaschev (eds.), Advances in Modal Logic. CSLI Publications. pp. 269-287.

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