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Graded Many-Valued Modal Logic and Its Graded Rough Truth
Axioms, 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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The Review of Symbolic Logic, 2018 AbstractStable logics are modal logics characterized by a class of frames closed under relation preserving images. These logics admit all filtrations. Since many basic modal systems such as K4 and S4 are not stable, we introduce the more general concept of an M-stable logic, where M is an arbitrary normal modal logic that admits some filtration.
Bezhanishvili, G. +2 more
openaire +3 more sources
A van Benthem Theorem for Fuzzy Modal Logic [PDF]
Logic in Computer Science, 2018 We present a fuzzy (or quantitative) version of the van Benthem theorem, which characterizes propositional modal logic as the bisimulation-invariant fragment of first-order logic.
P. Wild +3 more
semanticscholar +1 more source
Inferences Between Buridan’s Modal Propositions
Problemos, 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
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Probabilistic logics based on Riesz spaces [PDF]
Logical 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
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A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic [PDF]
Logical 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
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Satisfiability vs. Finite Satisfiability in Elementary Modal Logics [PDF]
Electronic 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
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From Hybrid Modal Logic to Matching Logic and Back [PDF]
Electronic 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
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Bisimulation in Inquisitive Modal Logic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Inquisitive modal logic, InqML, is a generalisation of standard Kripke-style modal logic. In its epistemic incarnation, it extends standard epistemic logic to capture not just the information that agents have, but also the questions that they are ...
Ivano Ciardelli, Martin Otto
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A Real-Valued Modal Logic [PDF]
Logical Methods in Computer Science, 2018 A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers.
Denisa Diaconescu +2 more
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