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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   +4 more sources

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   +4 more sources

Bisimulation in Inquisitive Modal Logic [PDF]

open access: yesElectronic 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
doaj   +3 more sources

Systematic Verification of the Modal Logic Cube in Isabelle/HOL [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
We present an automated verification of the well-known modal logic cube in Isabelle/HOL, in which we prove the inclusion relations between the cube's logics using automated reasoning tools. Prior work addresses this problem but without restriction to the
Christoph Benzmüller   +2 more
doaj   +6 more sources

Towards a Proof Theory of G\"odel Modal Logics [PDF]

open access: yesLogical Methods in Computer Science, 2011
Analytic proof calculi are introduced for box and diamond fragments of basic modal fuzzy logics that combine the Kripke semantics of modal logic K with the many-valued semantics of G\"odel logic.
George Metcalfe, Nicola Olivetti
doaj   +3 more sources

Refinement Modal Logic

open access: yesInformation and Computation, 2013
In this paper we present {\em refinement modal logic}. A refinement is like a bisimulation, except that from the three relational requirements only `atoms' and `back' need to be satisfied.
Aczel   +65 more
core   +6 more sources

Ecumenical modal logic

open access: yes, 2020
The discussion about how to put together Gentzen's systems for classical and intuitionistic logic in a single unified system is back in fashion. Indeed, recently Prawitz and others have been discussing the so called Ecumenical Systems, where connectives ...
A Ciabattoni   +8 more
core   +2 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
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
doaj   +1 more source

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