Alternative Multilattice Logics: An Approach Based on Monosequent and Indexed Monosequent Calculi

Studia Logica 109 (6):1241-1271 (2021)
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Abstract

Two new multilattice logics called submultilattice logic and indexed multilattice logic are introduced as a monosequent calculus and an indexed monosequent calculus, respectively. The submultilattice logic is regarded as a monosequent calculus version of Shramko’s original multilattice logic, which is also known as the logic of logical multilattices. The indexed multilattice logic is an extension of the submultilattice logic, and is regarded as the logic of multilattices. A completeness theorem with respect to a lattice-valued semantics is proved for the submultilattice logic, and a completeness theorem with respect to a multilattice-valued semantics is proved for the indexed multilattice logic.

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Citations of this work

Algebraic Completeness of Connexive and Bi-Intuitionistic Multilattice Logics.Yaroslav Petrukhin - 2024 - Journal of Logic, Language and Information 33 (2):179-196.
Provability multilattice logic.Yaroslav Petrukhin - 2022 - Journal of Applied Non-Classical Logics 32 (4):239-272.

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References found in this work

The Connectives.Lloyd Humberstone - 2011 - MIT Press. Edited by Lloyd Humberstone.
How a computer should think.Nuel Belnap - 1977 - In Gilbert Ryle, Contemporary aspects of philosophy. Boston: Oriel Press.
Constructible falsity.David Nelson - 1949 - Journal of Symbolic Logic 14 (1):16-26.

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