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The Craig interpolation theorem for prepositional logics with strong negation
Studia Logica 44 (3):291 - 317 (1985)
Abstract
This paper deals with, prepositional calculi with strong negation (N-logics) in which the Craig interpolation theorem holds. N-logics are defined to be axiomatic strengthenings of the intuitionistic calculus enriched with a unary connective called strong negation. There exists continuum of N-logics, but the Craig interpolation theorem holds only in 14 of them.Author's Profile
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Citations of this work
Fragments of quasi-Nelson: residuation.U. Rivieccio - 2023 - Journal of Applied Non-Classical Logics 33 (1):52-119.
Algebraization of quantifier logics, an introductory overview.István Németi - 1991 - Studia Logica 50 (3-4):485 - 569.
On extensions of intermediate logics by strong negation.Marcus Kracht - 1998 - Journal of Philosophical Logic 27 (1):49-73.
References found in this work
An algebraic approach to non-classical logics.Helena Rasiowa - 1974 - Warszawa,: PWN - Polish Scientific Publishers.
Notes on N-lattices and constructive logic with strong negation.D. Vakarelov - 1977 - Studia Logica 36 (1-2):109-125.
Logical matrices and the amalgamation property.Janusz Czelakowski - 1982 - Studia Logica 41 (4):329 - 341.
Algebraische Charakterisierung der Intuitionistischen Logik mit Starker Negation.H. Rasiowa - 1969 - Journal of Symbolic Logic 34 (1):118-119.
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