Unification and Finite Model Property for Linear Step-Like Temporal Multi-Agent Logic with the Universal Modality

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Bulletin of the Section of Logic 51 (3):345-361 (2022)
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Abstract

This paper proposes a semantic description of the linear step-like temporal multi-agent logic with the universal modality LTK.slU\mathcal{LTK}.sl_U based on the idea of non-reflexive non-transitive nature of time. We proved a finite model property and projective unification for this logic.

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10.18778/0138-0680.2022.16

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Unification in intuitionistic logic.Silvio Ghilardi - 1999 - Journal of Symbolic Logic 64 (2):859-880.
Best Unifiers in Transitive Modal Logics.Vladimir V. Rybakov - 2011 - Studia Logica 99 (1-3):321-336.
Unification in Pretabular Extensions of S4.Stepan I. Bashmakov - 2021 - Logica Universalis 15 (3):381-397.
Quantificational modal logic with sequential Kripke semantics.Stefano Borgo - 2005 - Journal of Applied Non-Classical Logics 15 (2):137-188.

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