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Proof Complexity and Feasible Arithmetics
Language: en
Pages: 335
Authors: Paul W. Beame
Categories: Computers
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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The 16 papers reflect some of the breakthroughs over the past dozen years in understanding whether or not logical inferences can be made in certain situations a
Proof Complexity
Language: en
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Authors: Jan Krajíček
Categories: Computers
Type: BOOK - Published: 2019-03-28 - Publisher: Cambridge University Press

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Offers a self-contained work presenting basic ideas, classical results, current state of the art and possible future directions in proof complexity.
Arithmetic, Proof Theory, and Computational Complexity
Language: en
Pages: 442
Authors: Peter Clote
Categories: Mathematics
Type: BOOK - Published: 1993-05-06 - Publisher: Clarendon Press

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This book principally concerns the rapidly growing area of "Logical Complexity Theory", the study of bounded arithmetic, propositional proof systems, length of
Logical Foundations of Proof Complexity
Language: en
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Authors: Stephen Cook
Categories: Mathematics
Type: BOOK - Published: 2014-03-06 - Publisher: Cambridge University Press

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This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the
Forcing with Random Variables and Proof Complexity
Language: en
Pages: 265
Authors: Jan Krajíček
Categories: Mathematics
Type: BOOK - Published: 2010-12-23 - Publisher: Cambridge University Press

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This book introduces a new approach to building models of bounded arithmetic, with techniques drawn from recent results in computational complexity. Proposition