Forcing with Random Variables and Proof Complexity: 382 (London Mathematical Society Lecture Note Series, Series Number 382) - Image 1

£54.99

Cambridge University Press Forcing with Random Variables and Proof Complexity: 382 (London Mathematical Society Lecture Note Series, Series Number 382)

Name: Forcing with Random Variables and Proof Complexity: 382 (London Mathematical Society Lecture Note Series, Series Number 382)
Brand: Cambridge University Press
Price: 54.99 GBP
Availability: InStock

Computer Science

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Description

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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521154332
Category: Books > Subjects > Computing & Internet > Computer Science
Domain: Amazon UK
Release Date: 23 December 2010
Listed Since: 19 May 2010

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Cambridge University Press Forcing with Random Variables and Proof Complexity: 382 (London Mathematical Society Lecture Note Series, Series Number 382)

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