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Closed fragments of provability logics of constructive theories
Journal of Symbolic Logic 73 (3):1081-1096 (2008)
Abstract
In this paper we give a new proof of the characterization of the closed fragment of the provability logic of Heyting's Arithmetic. We also provide a characterization of the closed fragment of the provability logic of Heyting's Arithmetic plus Markov's Principle and Heyting's Arithmetic plus Primitive Recursive Markov's PrincipleAuthor's Profile
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References found in this work
Substitutions of Σ10-sentences: explorations between intuitionistic propositional logic and intuitionistic arithmetic.Albert Visser - 2002 - Annals of Pure and Applied Logic 114 (1-3):227-271.
Provability: The emergence of a mathematical modality.George Boolos & Giovanni Sambin - 1991 - Studia Logica 50 (1):1 - 23.
On the completenes principle: A study of provability in heyting's arithmetic and extensions.Albert Visser - 1982 - Annals of Mathematical Logic 22 (3):263-295.
Substitutions of< i> Σ_< sub> 1< sup> 0-sentences: explorations between intuitionistic propositional logic and intuitionistic arithmetic. [REVIEW]Albert Visser - 2002 - Annals of Pure and Applied Logic 114 (1):227-271.
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