Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Residuated Lattices: An Algebraic Glimpse at Substructural Logics: Volume 151

Residuated Lattices: An Algebraic Glimpse at Substructural Logics: Volume 151

Jipsen, Peter
Kowalski, Tomasz
Galatos, Nikolaos

Hardcover

Series: Studies in Logic and the Foundations of Mathematics, Book 151

AlgebraGeneral ComputersGeneral Mathematics

ISBN10: 0444521410
ISBN13: 9780444521415
Publisher: Elsevier Science
Published: Jun 5 2007
Pages: 532
Weight: 2.13
Height: 1.07 Width: 6.24 Depth: 9.14
Language: English

The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide a reasonably gentle introduction to algebraic logic. At the beginning, the second objective is predominant. Thus, in the first few chapters the reader will find a primer of universal algebra for logicians, a crash course in nonclassical logics for algebraists, an introduction to residuated structures, an outline of Gentzen-style calculi as well as some titbits of proof theory - the celebrated Hauptsatz, or cut elimination theorem, among them. These lead naturally to a discussion of interconnections between logic and algebra, where we try to demonstrate how they form two sides of the same coin. We envisage that the initial chapters could be used as a textbook for a graduate course, perhaps entitled Algebra and Substructural Logics.

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