The theory of quasivarieties constitutes an independent direction
in algebra and mathematical logic and specializes in a fragment of
first-order logic-the so-called universal Horn logic. This treatise
uniformly presents the principal directions of the theory from an
effective algebraic approach developed by the author himself. A
revolutionary exposition, this influential text contains a number
of results never before published in book form, featuring in-depth
commentary for applications of quasivarieties to graphs, convex
geometries, and formal languages. Key features include coverage of
the Birkhoff-Mal'tsev problem on the structure of lattices of
quasivarieties, helpful exercises, and an extensive list of
references.
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