Modal logics of succession for 2-dimensional integral spacetime

Journal of Philosophical Logic 30 (1):1-25 (2001)
Abstract
We consider the problem of axiomatizing various natural "successor" logics for 2-dimensional integral spacetime. We provide axiomatizations in monomodal and multimodal languages, and prove completeness theorems. We also establish that the irreflexive successor logic in the "standard" modal language (i.e. the language containing □ and ◊) is not finitely axiomatizable
Keywords modal logic  multi-dimensional modal logic  spacetime
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Reprint years 2004
DOI 10.1023/A:1017502425876
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References found in this work BETA
Time and Modality.A. N. Prior - 1955 - Greenwood Press.
Multi-Dimensional Modal Logic.Maarten Marx - 1997 - Kluwer Academic Publishers.
Diodorean Modality in Minkowski Spacetime.Robert Goldblatt - 1980 - Studia Logica 39 (2-3):219 - 236.

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Citations of this work BETA
Modal and Temporal Logics for Abstract Space–Time Structures.Sara L. Uckelman & Joel Uckelman - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):673-681.
Modal and Temporal Logics for Abstract Space–Time Structures.Sara L. Uckelman & Joel Uckelman - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):673-681.

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