The parameterized local deduction theorem for quasivarieties of algebras and its application

DOI10.1007/BF01197181zbMath0863.08011MaRDI QIDQ1918964

Janusz Czelakowski, Wiesław Dziobiak

Publication date: 15 October 1996

Published in: Algebra Universalis (Search for Journal in Brave)

zbMATH Keywords

consequence relationquasivarietiesdefinabilityprincipal congruencefirst-order languagefinite basis theoremgeneralized congruence extension propertyparametrized local deduction theorem

Mathematics Subject Classification ID

Quasivarieties (08C15) Equational classes, universal algebra in model theory (03C05) Basic properties of first-order languages and structures (03C07)

Related Items (15)

Identities and quasi-identities of pointed algebras ⋮ Deduction theorems within RM and its extensions ⋮ Relative congruence formulas and decompositions in quasivarieties ⋮ Deduction theorem in congruential modal logics ⋮ General theory of the commutator for deductive systems. I: Basic facts ⋮ Contextual deduction theorems ⋮ Properties not retained by pointed enrichments of finite lattices ⋮ Triangular irreducibility of congruences in quasivarieties ⋮ A deduction theorem schema for deductive systems of propositional logics ⋮ PROFINITENESS IN FINITELY GENERATED VARIETIES IS UNDECIDABLE ⋮ Fragments of R-mingle ⋮ Fregean logics with the multiterm deduction theorem and their algebraization ⋮ Subdirectly Irreducible MV-Algebras ⋮ Quasivarieties with definable relative principal subcongruences ⋮ Glivenko theorems for substructural logics over FL

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