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Modal Independence Logic [PDF]

open access: yesJournal of Logic and Computation, 2014
This paper introduces modal independence logic MIL, a modal logic that can explicitly talk about independence among propositional variables. Formulas of MIL are not evaluated in worlds but in sets of worlds, so called teams. In this vein, MIL can be seen
J. Kontinen   +3 more
semanticscholar   +6 more sources

Coherence in Modal Logic [PDF]

open access: yesAdvances in Modal Logic, 2018
A variety is said to be coherent if the finitely generated subalgebras of its finitely presented members are also finitely presented. In a recent paper by the authors it was shown that coherence forms a key ingredient of the uniform deductive ...
Kowalski, Tomasz, Metcalfe, George
core   +5 more sources

Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics

open access: yesAxioms, 2021
Aristotelian diagrams, such as the square of opposition, are well-known in the context of normal modal logics (i.e., systems of modal logic which can be given a relational semantics in terms of Kripke models). This paper studies Aristotelian diagrams for
Lorenz Demey
doaj   +1 more source

Graded Many-Valued Modal Logic and Its Graded Rough Truth

open access: yesAxioms, 2022
Much attention is focused on the relationship between rough sets and many-valued modal logic to deal with approximate reasoning. This paper discusses the graded modal logic and puts forward the graded many-valued modal logic G(S5). Secondly, by employing
Jiansheng Li, Zengtai Gong
doaj   +1 more source

Binary modal logic and unary modal logic

open access: yesLogic Journal of the IGPL, 2023
Abstract Standard unary modal logic and binary modal logic, i.e. modal logic with one binary operator, are shown to be definitional extensions of one another when an additional axiom $U$ is added to the basic axiomatization of the binary side. This is a strengthening of our previous results.
Dick de Jongh   +1 more
openaire   +2 more sources

Neutrosophic Modal Logic [PDF]

open access: yesNeutrosophic Sets and Systems, 2017
We introduce now for the first time the neutrosophic modal logic. The Neutrosophic Modal Logic includes the neutrosophic operators that express the modalities. It is an extension of neutrosophic predicate logic and of neutrosophic propositional logic.
Florentin Smarandache
doaj   +1 more source

Inferences Between Buridan’s Modal Propositions

open access: yesProblemos, 2022
In recent years modal syllogistic provided by 14th century logician John Buridan has attracted increasing attention of historians of medieval logic. The widespread use of quantified modal logic with the apparatus of possible worlds semantics in current ...
Jonas Dagys   +2 more
doaj   +1 more source

Probabilistic logics based on Riesz spaces [PDF]

open access: yesLogical Methods in Computer Science, 2020
We introduce a novel real-valued endogenous logic for expressing properties of probabilistic transition systems called Riesz modal logic. The design of the syntax and semantics of this logic is directly inspired by the theory of Riesz spaces, a mature ...
Robert Furber, Radu Mardare, Matteo Mio
doaj   +1 more source

Satisfiability vs. Finite Satisfiability in Elementary Modal Logics [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
We study elementary modal logics, i.e. modal logic considered over first-order definable classes of frames. The classical semantics of modal logic allows infinite structures, but often practical applications require to restrict our attention to finite ...
Jakub Michaliszyn   +2 more
doaj   +1 more source

From Hybrid Modal Logic to Matching Logic and Back [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
Building on our previous work on hybrid polyadic modal logic we identify modal logic equivalents for Matching Logic, a logic for program specification and verification.
Ioana Leuştean   +2 more
doaj   +1 more source

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