02315cam a22003494a 4500 16429416 OSt 20150408114018.0 100823s2011 enka b 001 0 eng 2010036194 9780521154338 0521154332 (pbk.) (OCoLC)ocn664450704 DLC DLC YDX YDXCP IXA CDX BWX DLC pcc QA267.7 .K73 2011 511.36 22 Krajíček, Jan 14355 Forcing with random variables and proof complexity / Jan Krajíček. Cambridge, UK ; New York : Cambridge University Press, 2011. xvi, 247 p. : ill. ; 23 cm. London Mathematical Society lecture note series ; 382 Includes bibliographical references (p. 236-242) and indexes. "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"-- Computational complexity. Random variables. 14356 Mathematical analysis. 4615 London Mathematical Society lecture note series ; 382. 14357 Cover image http://assets.cambridge.org/97805211/54338/cover/9780521154338.jpg ddc BOOK 21732 256232 0 2013-03-10 0 0 511.36 K J F 2012-05-20 EMF 00087705 EMF 2013-03-10 00:00:00 BOOK ddc 0 0 2013-03-10 0 0 511.36 K J F 2012-05-20 EMF 00087717 EMF 2013-03-10 00:00:00 BOOK ddc 0 0 2013-03-10 0 0 511.36 K J F 2012-05-31 SZM 00087815 SZM 2013-03-10 00:00:00 BOOK ddc 0 0 2013-03-10 0 0 511.36 K J F 2012-05-31 SZM 00087816 SZM 2013-03-10 00:00:00 BOOK ddc 0 0 2013-03-10 0 0 511.36 K J F 2012-06-03 EZF 00088073 EZF 2013-03-10 00:00:00 BOOK ddc 0 0 2013-03-10 0 0 511.36 K J F 2012-06-03 EZF 00088072 EZF 2013-03-10 00:00:00 BOOK ddc 0 0 2013-03-10 0 0 511.36 K J F 2012-06-04 SHF 00088062 SHF 2013-03-10 00:00:00 BOOK ddc 0 0 2013-03-10 0 0 511.36 K J F 2012-06-04 SHF 00088063 SHF 2013-03-10 00:00:00 BOOK ddc 0