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Axiomatization of the de Morgan type rules
Studia Logica 49 (3):333 - 343 (1990)
Abstract
In Section 1 we show that the De Morgan type rules (= sequential rules in L(, ) which remain correct if and are interchanged) are finitely based. Section 2 contains a similar result for L(). These results are essentially based on special properties of some equational theories.My notes
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Citations of this work
Finite replacement and finite hilbert‐style axiomatizability.B. Herrmann & W. Rautenberg - 1992 - Mathematical Logic Quarterly 38 (1):327-344.
Axiomatizing logics closely related to varieties.W. Rautenberg - 1991 - Studia Logica 50 (3-4):607 - 622.
Finite replacement and finite Hilbert-style axiomatizability.B. Herrmann & W. Rautenberg - 1992 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 38 (1):327-344.
Replacing Modus Ponens With One-Premiss Rules.Lloyd Humberstone - 2008 - Logic Journal of the IGPL 16 (5):431-451.
References found in this work
An algebraic approach to non-classical logics.Helena Rasiowa - 1974 - Warszawa,: PWN - Polish Scientific Publishers.
Theory of Logical Calculi: Basic Theory of Consequence Operations.Ryszard Wójcicki - 1988 - Dordrecht, Boston and London: Kluwer Academic Publishers.
Axiomatization of semigroup consequences.Wolfgang Rautenberg - 1989 - Archive for Mathematical Logic 29 (2):111-123.
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