A spatial modal logic with a location interpretation

Mathematical Logic Quarterly 51 (4):331 (2005)
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Abstract

A spatial modal logic is introduced as an extension of the modal logic S4 with the addition of certain spatial operators. A sound and complete Kripke semantics with a natural space interpretation is obtained for SML. The finite model property with respect to the semantics for SML and the cut-elimination theorem for a modified subsystem of SML are also presented

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10.1002/malq.200510001

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References found in this work

A ModalWalk Through Space.Marco Aiello & Johan van Benthem - 2002 - Journal of Applied Non-Classical Logics 12 (3):319-363.
Modal Logics for Parallelism, Orthogonality, and Affine Geometries.Philippe Balbiani & Valentin Goranko - 2002 - Journal of Applied Non-Classical Logics 12 (3-4):365-397.
Displaying the modal logic of consistency.Heinrich Wansing - 1999 - Journal of Symbolic Logic 64 (4):1573-1590.

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