Failure of completeness properties of intuitionistic predicate logic for constructive models
Daniel Leivant (1976)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Displaying similar documents to “Undecidability of the completeness problem of modal logic”
Failure of completeness properties of intuitionistic predicate logic for constructive models
Assertions depending on time and corresponding logical calculi
Andrzej Grzegorczyk (1968)
Compositio Mathematica
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Intuitionistic logic considered as an extension of classical logic : some critical remarks
Javier Legris, Jorge A. Molina (2001)
Philosophia Scientiae
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In this paper we analyze the consideration of intuitionistic logic as an extension of classical logic. This — at first sight surprising — point of view has been sustained explicitly by Jan Łukasiewicz on the basis of a mapping of classical propositional logic into intuitionistic propositional logic by Kurt Gödel in 1933. Simultaneously with Gödel, Gerhard Gentzen had proposed another mapping of Peano´s arithmetic into Heyting´s arithmetic. We shall discuss these mappings in connection...
Provability in arithmetic and a schema of Grzegorczyk
George Boolos (1980)
Fundamenta Mathematicae
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Propositional dynamic logic with recursive programs
Tinko Tinchev, Dimiter Vakarelov (1988)
Banach Center Publications
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A completeness theorem in the modal logic of programs
Krister Segerberg (1982)
Banach Center Publications
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Individualised normative logic
Jan Štěpán (1989)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Intuitionistic double negation as a necessity operator.
Došen, Kosta (1984)
Publications de l'Institut Mathématique. Nouvelle Série
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From Intuitionism to Brouwer's Modal Logic
Zofia Kostrzycka (2020)
Bulletin of the Section of Logic
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We try to translate the intuitionistic propositional logic INT into Brouwer's modal logic KTB. Our translation is motivated by intuitions behind Brouwer's axiom p →☐◊p The main idea is to interpret intuitionistic implication as modal strict implication, whereas variables and other positive sentences remain as they are. The proposed translation preserves fragments of the Rieger-Nishimura lattice which is the Lindenbaum algebra of monadic formulas in INT. Unfortunately, INT is not embedded...