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(Ebook) Logical Foundations of Proof Complexity by Stephen Cook, Phuong Nguyen ISBN 9780511677168, 9780521517294, 0511677162, 052151729X

  • SKU: EBN-2346032
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4.7

35 reviews
Instant download (eBook) Logical Foundations of Proof Complexity after payment.
Authors:Stephen Cook, Phuong Nguyen
Pages:497 pages.
Year:2010
Publisher:Cambridge University Press
Language:english
File Size:2.58 MB
Format:pdf
ISBNS:9780511677168, 9780521517294, 0511677162, 052151729X
Categories: Ebooks

Product desciption

(Ebook) Logical Foundations of Proof Complexity by Stephen Cook, Phuong Nguyen ISBN 9780511677168, 9780521517294, 0511677162, 052151729X

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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