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Logical Foundations of Proof Complexity

Logical Foundations of Proof Complexity

Hardcover

Series: Perspectives in Logic

Fiction

ISBN10: 052151729X
ISBN13: 9780521517294
Publisher: Cambridge
Published: Jan 25 2010
Pages: 496
Weight: 1.80
Height: 1.30 Width: 6.30 Depth: 9.30
Language: English
This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the material and are suitable for a graduate course. Associated with each of many complexity classes are both a two-sorted predicate calculus theory, with induction restricted to concepts in the class, and a propositional proof system. The result is a uniform treatment of many systems in the literature, including Buss's theories for the polynomial hierarchy and many disparate systems for complexity classes such as AC0, AC0(m), TC0, NC1, L, NL, NC, and P.

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