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Axiom systems for first order logic with finitely many variables
Journal of Symbolic Logic 38 (4):576-578 (1973)
Abstract
J. D. Monk has shown that for first order languages with finitely many variables there is no finite set of schema which axiomatizes the universally valid formulas. There are such finite sets of schema which axiomatize the formulas valid in all structures of some fixed finite sizeLinks
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Citations of this work
On varieties of cylindric algebras with applications to logic.I. Németi - 1987 - Annals of Pure and Applied Logic 36:235-277.
On Conservative Extensions in Logics with Infinitary Predicates.Miklós Ferenczi - 2009 - Studia Logica 92 (1):121-135.
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