Results 261 to 270 of about 79,232 (299)
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On the Finite Model Property of Non-normal Modal Logics
Logic, Rationality, and Interaction, 2023Yu Peng, Yiheng Wang
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The decidable normal modal logics are not recursively enumerable
Journal of Philosophical Logic, 1985The author uses a construction of Urquhart to show that there is no effective enumeration of algorithms which includes at least one for every decidable normal modal logic and no others. This also shows that the set of all recursive presentations which determine decidable modal logics is not recursively enumerable.
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Sequent Calculi for Normal Modal Propositional Logics
Journal of Logic and Computation, 1994This is a streamlined exposition of \textit{N. Belnap}'s display logic DL [J. Philos. Logic 11, 375-417 (1982; Zbl 0509.03008)]. DL can be seen as an encoding of a formalization introduced by \textit{S. Kripke} [Z. Math. Logik Grundlagen Math. 9, 67-96 (1963; Zbl 0118.013)] where finite systems of sequents \(S; \sigma_ 1 S_ 1; \sigma_ 2 S_ 2;\dots ...
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On detachment-substitutional formalization in normal modal logics
Studia Logica, 1977The aim of this paper is to propose a criterion of finite detachment-substitutional formalization for normal modal systems. The criterion will comprise only those normal modal systems which are finitely axiomatizable by means of the substitution, detachment for material implication and Godel rules.
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Falsification-Aware Calculi and Semantics for Normal Modal Logics Including S4 and S5
Journal of Logic, Language and Information, 2022N. Kamide
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On Independent Axiomatizability of Quasi-Normal Modal Logics
Studia Logica: An International Journal for Symbolic Logic, 2022Igor Gorbunov, D. Shkatov
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Someone knows that local reasoning on hypergraphs is a weakly aggregative modal logic
Synthese, 2023Yifeng Ding, Jixin Liu, Yanjing Wang
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Combining Monotone and Normal Modal Logic in Nested Sequents - with Countermodels
International Conference on Theorem Proving with Analytic Tableaux and Related Methods, 2019Björn Lellmann
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A Deduction Theorem for Normal Modal Propositional Logic [PDF]
We develop a Hilbert style calculus for modal propositional logic which allows for the deduction theorem. Labels are used to keep track of both modalities that have been entered and assumptions that have been made. The main technical result of this paper is the equivalence of the labelled deductive calculus to the normal calculus for modal ...
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Semantical Analysis of Modal Logic I Normal Modal Propositional Calculi
, 1963Saul A. Kripke
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