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October 21, 2010 | History

Forcing with random variables and proof complexity 1 edition

Forcing with random variables and proof complexity
Jan Krajíček

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Forcing with random variables and proof complexity
Jan Krajíček

Published 2011 by Cambridge University Press in Cambridge, New York .
Written in English.

About the Book

"This book introduces a new approach to building models of bounded arithmetic, with techniques drawn from recent results in computational complexity. Propositional proof systems and bounded arithmetics are closely related. In particular, proving lower bounds on the lengths of proofs in propositional proof systems is equivalent to constructing certain extensions of models of bounded arithmetic. This offers a clean and coherent framework for thinking about lower bounds for proof lengths, and it has proved quite successful in the past. This book outlines a brand new method for constructing models of bounded arithmetic, thus for proving independence results and establishing lower bounds for proof lengths. The models are built from random variables defined on a sample space which is a non-standard finite set and sampled by functions of some restricted computational complexity. It will appeal to anyone interested in logical approaches to fundamental problems in complexity theory"--

Edition Notes

Includes bibliographical references and indexes.

Series
London Mathematical Society lecture note series -- 382

Classifications

Dewey Decimal Class
511.3/6
Library of Congress
QA267.7 .K73 2011

The Physical Object

Pagination
p. cm.

ID Numbers

Open Library
OL24383980M
Internet Archive
forcingwithrando00kraj
ISBN 13
9780521154338
LC Control Number
2010036194

History

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October 21, 2010 Created by ImportBot initial import