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|a 9780521154338 (online)
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|a 9781107213449 (online)
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|a 9781139127998 (online)
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|a pcc
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|a QA267.7
|b .K73 2011
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| 100 |
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|a Krajíček, Jan
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| 245 |
1 |
0 |
|a Forcing with random variables and proof complexity
|h [electronic resource] /
|c Jan Krajíček.
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| 260 |
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|a Cambridge, UK ;
|a New York :
|b Cambridge University Press,
|c 2011.
|
| 490 |
1 |
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|a London Mathematical Society lecture note series ;
|v 382
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| 504 |
|
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|a Includes bibliographical references (p. 236-242) and indexes.
|
| 520 |
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|a "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"--
|c Provided by publisher.
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| 650 |
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0 |
|a Computational complexity.
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| 650 |
|
0 |
|a Random variables.
|
| 650 |
|
0 |
|a Mathematical analysis.
|
| 773 |
0 |
|
|t EBSCO eBooks
|d EBSCO
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| 773 |
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|
|t eBook Academic Collection (EBSCOhost) – North America
|d EBSCO
|
| 776 |
1 |
|
|t Forcing with random variables and proof complexity /
|w (OCoLC)ocn664450704
|w (DLC)2010036194
|
| 830 |
|
0 |
|a London Mathematical Society lecture note series ;
|v 382.
|
| 856 |
4 |
0 |
|y Access Content Online(from EBSCO eBooks)
|u https://ezproxy.msu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399278
|z EBSCO eBooks: 2011
|
| 856 |
4 |
0 |
|y Access Content Online(from eBook Academic Collection (EBSCOhost) – North America)
|u https://ezproxy.msu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=399278
|z eBook Academic Collection (EBSCOhost) – North America: 2011
|
