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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
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Modal independence logic: [PDF]
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 as a variant of V n nen's modal dependence logic MDL.
Kontinen, Juha +3 more
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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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Inferences Between Buridan’s Modal Propositions
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]
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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Satisfiability vs. Finite Satisfiability in Elementary Modal Logics [PDF]
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]
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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A Real-Valued Modal Logic [PDF]
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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Indicative Conditionals and Dynamic Epistemic Logic [PDF]
Recent ideas about epistemic modals and indicative conditionals in formal semantics have significant overlap with ideas in modal logic and dynamic epistemic logic.
Wesley H. Holliday, Thomas F. Icard III
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