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This article is cited in 37 scientific papers (total in 37 papers)
Implicit Definability and Positive Logics
L. L. Maksimova Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
We furnish a description of all positive logics possessing the projective Beth property PBP. Decidability of PBP is proved for the positive calculi extending a positive fragment ${\rm Int}^+$ of the intuitionistic propositional calculus. The results mentioned are applied to explore extensions of Johansson's minimal logic.
Keywords:
positive logic, projective Beth property, intuitionistic propositional calculus, Johansson's minimal logic.
Received: 07.02.2001
Citation:
L. L. Maksimova, “Implicit Definability and Positive Logics”, Algebra Logika, 42:1 (2003), 65–93; Algebra and Logic, 42:1 (2003), 37–53
Linking options:
https://www.mathnet.ru/eng/al18 https://www.mathnet.ru/eng/al/v42/i1/p65
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Abstract page: | 629 | Full-text PDF : | 206 | References: | 72 | First page: | 1 |
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