Logical Foundations of Proof Complexity

Name: Logical Foundations of Proof Complexity
Brand: Cambridge University Press
SKU: 9781107694118
Price: 456.5 RON
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Autor: Stephen Cook, Phuong Nguyen

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Editura: Cambridge University Press

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This book treats bounded arithmetic and propositional proof complexity from the point of view of com...

Informații despre carte

Autor

Stephen Cook, Phuong Nguyen

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2014

Pagini

496

EAN

9781107694118

ISBN

1107694116

Enbook ID

02432148

Editura

Cambridge University Press

Greutate

Dimensiuni

156 x 234 x 28

Descriere completă

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 complexity classes range from AC0 for the weakest theory up to the polynomial hierarchy. Each bounded theorem in a theory translates into a family of (quantified) propositional tautologies with polynomial size proofs in the corresponding proof system. The theory proves the soundness of the associated 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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Logical Foundations of Proof Complexity

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