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Basic Properties of Quasivarieties

Janusz Czelakowski
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Janusz Czelakowski: Opole University, Institute of Mathematics and Informatics

Chapter Chapter 2 in The Equationally-Defined Commutator, 2015, pp 7-26 from Springer

Abstract: Abstract This chapter supplies basic facts concerning quasivarieties and the equational systems associated with quasivarieties. Many of these facts are of syntactical character. An equational logic is an extension of the familiar Birkhoff’s logic. The narrative structure of the book is strictly linked with the properties of lattices of theories of equational logics. Examining these lattice requires formal tools. They are introduced in this part; some of them are new.

Keywords: Birkhoff Rules; Czelakowski; Birkhoff Equations; Consequence Operation; Rule Schema (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-21200-5_2

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DOI: 10.1007/978-3-319-21200-5_2

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