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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   +2 more sources

The expressive power of modal logic with inclusion atoms [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
Modal inclusion logic is the extension of basic modal logic with inclusion atoms, and its semantics is defined on Kripke models with teams. A team of a Kripke model is just a subset of its domain. In this paper we give a complete characterisation for the
Lauri Hella, Johanna Stumpf
doaj   +3 more sources

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

Dual-Context Calculi for Modal Logic [PDF]

open access: yesLogical Methods in Computer Science, 2020
We present natural deduction systems and associated modal lambda calculi for the necessity fragments of the normal modal logics K, T, K4, GL and S4. These systems are in the dual-context style: they feature two distinct zones of assumptions, one of which
G. A. Kavvos
doaj   +3 more sources

Inadequacy of Modal Logic in Quantum Settings [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
We test the principles of classical modal logic in fully quantum settings. Modal logic models our reasoning in multi-agent problems, and allows us to solve puzzles like the muddy children paradox.
Nuriya Nurgalieva, Lídia del Rio
doaj   +3 more sources

Refinement modal logic [PDF]

open access: yesInformation and Computation, 2012
In this paper we present {\em refinement modal logic}. A refinement is like a bisimulation, except that from the three relational requirements only `atoms' and `back' need to be satisfied. Our logic contains a new operator 'all' in addition to the standard modalities 'box' for each agent.
L. Bozzelli   +4 more
semanticscholar   +5 more sources

Distribution-Free Modal Logics: Sahlqvist–Van Benthem Correspondence

open access: diamondLogics
We present an extension and generalization of Sahlqvist–van Benthem correspondence to the case of distribution-free modal logic, with, or without negation and/or implication connectives.
Chrysafis Hartonas
doaj   +2 more sources

Modal meet-implication logic [PDF]

open access: yesLogical Methods in Computer Science, 2022
We extend the meet-implication fragment of propositional intuitionistic logic with a meet-preserving modality. We give semantics based on semilattices and a duality result with a suitable notion of descriptive frame.
Jim de Groot, Dirk Pattinson
doaj   +1 more source

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

Complexity of validity for propositional dependence logics [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2014
We study the validity problem for propositional dependence logic, modal dependence logic and extended modal dependence logic. We show that the validity problem for propositional dependence logic is NEXPTIME-complete.
Jonni Virtema
doaj   +1 more source

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