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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   +3 more sources

Modal Logic - a Tool for Design Process Formalisation

open access: diamondActa Polytechnica, 2003
In this paper we show the possibility to formalize the design process by means of one type of non-standard logic - modal logic [1]. The type chosen for this study is modal logic S4.
I. JelĂ­nek
doaj   +3 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
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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

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   +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
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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

A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic [PDF]

open access: yesLogical Methods in Computer Science, 2021
Open bisimilarity is defined for open process terms in which free variables may appear. The insight is, in order to characterise open bisimilarity, we move to the setting of intuitionistic modal logics. The intuitionistic modal logic introduced, called $\
Ki Yung Ahn, Ross Horne, Alwen Tiu
doaj   +1 more source

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