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Axiomatizing modal inclusion logic and its variants [PDF]
Archive for Mathematical Logic, 2023 We provide a complete axiomatization of modal inclusion logic—team-based modal logic extended with inclusion atoms. We review and refine an expressive completeness and normal form theorem for the logic, define a natural deduction proof system, and use ...
Aleksi Anttila +2 more
semanticscholar +1 more source
Neighbourhood Structures: Bisimilarity and Basic Model Theory [PDF]
Logical Methods in Computer Science, 2009 Neighbourhood structures are the standard semantic tool used to reason about non-normal modal logics. The logic of all neighbourhood models is called classical modal logic.
Helle Hvid Hansen +2 more
doaj +1 more source
Uniform Lyndon interpolation for intuitionistic monotone modal logic [PDF]
Advances in Modal Logic, 2022 In this paper we show that the intuitionistic monotone modal logic $\mathsf{iM}$ has the uniform Lyndon interpolation property (ULIP). The logic $\mathsf{iM}$ is a non-normal modal logic on an intuitionistic basis, and the property ULIP is a ...
A. Tabatabai +2 more
semanticscholar +1 more source
Bulletin of the Section of Logic, 2021 This paper introduces the logics of super-strict implications, where a super-strict implication is a strengthening of C.I. Lewis' strict implication that avoids not only the paradoxes of material implication but also those of strict implication.
Guido Gherardi, Eugenio Orlandelli
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Complete Additivity and Modal Incompleteness [PDF]
, 2019 In this paper, we tell a story about incompleteness in modal logic. The story weaves together a paper of van Benthem, `Syntactic aspects of modal incompleteness theorems,' and a longstanding open question: whether every normal modal logic can be ...
Holliday, Wesley H., Litak, Tadeusz
core +2 more sources
Propositional quantifiers in labelled natural deduction for normal modal logic
Logic Journal of the IGPL, 2019 This article concerns the treatment of propositional quantification in a framework of labelled natural deduction for modal logic developed by Basin, Matthews and Viganò.
Matteo Pascucci
semanticscholar +1 more source
From 2-Sequents and Linear Nested Sequents to Natural Deduction for Normal Modal Logics [PDF]
ACM Transactions on Computational Logic, 2020 We extend to natural deduction the approach of Linear Nested Sequents and of 2-Sequents. Formulas are decorated with a spatial coordinate, which allows a formulation of formal systems in the original spirit of natural deduction: only one introduction and
S. Martini, A. Masini, M. Zorzi
semanticscholar +1 more source
Certification of Prefixed Tableau Proofs for Modal Logic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2016 Different theorem provers tend to produce proof objects in different formats and this is especially the case for modal logics, where several deductive formalisms (and provers based on them) have been presented.
Tomer Libal, Marco Volpe
doaj +1 more source
A Neighbourhood Semantics for the Logic TK
Principia: An International Journal of Epistemology, 2011 The logic TK was introduced as a propositional logic extending the classical propositional calculus with a new unary operator which interprets some conceptions of Tarski’s consequence operator. TK-algebras were introduced as models to TK.
Hércules de Araújo Feitosa +1 more
doaj +3 more sources
Axioms, 2016 This paper deals with several problems concerning notion of existential dependence and ontological notions of existence, necessity and fusion. Following some ideas of Eugenia Ginsberg-Blaustein, the notions are treated in reference to objects, in ...
Marek Magdziak
doaj +1 more source