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Journals ACM SIGACT News Volume 39 Issue 3

Joint review3 of General Lattice Theory (Second Edition) Author of Book: George Gr tzer a Birkhauser, 688 pages and The congruences of a nite lattice: a proof-by picture approach Author of Book: George Gr tzer a Birkhauser, 282 pages Author of Review: by Jonathan A. Cohen Introduction The study of lattice theory as a mathematical subject of independent interest originally arose in Garrett Birkho € ™s work in the 1930 ™s as a generalisation of the theory of boolean algebras. As such, it has always enjoyed a close a ƒnity with logic. Just as boolean algebras form algebraic models of classical logic, broader classes of lattices provide the foundation for algebraic models of various nonclassical logics. More recently, certain classes of lattices have become fundamental ingredients in the denotational semantics of functional programming languages. The rst book under review is an exposition of the general theory of lattices and is an update of the original edition published in 1978. The second edition makes no substantial alterations to the rst, but adds eight appendices. The appendices are contributed by experts in the various elds and sketch some more recent developments in the area. The author focuses his attention on

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Joint review of general lattice theory (second edition) and the congruences of a finite lattice: a proof-by picture approach

Grätzer, George
ACM SIGACT News , Volume 39 (3)
Association for Computing Machinery – Sep 1, 2008

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