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Neutrosophic Modal Logic [PDF]
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
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Modal Logic - a Tool for Design Process Formalisation
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
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Modal meet-implication logic [PDF]
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
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Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics
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]
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
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The expressive power of modal logic with inclusion atoms [PDF]
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
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Graded Many-Valued Modal Logic and Its Graded Rough Truth
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]
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
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A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic [PDF]
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
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