Forcing with Random Variables and Proof Complexity (Paperback)
 
作者: Jan Krajicek 
分類: Mathematical logic ,
Mathematical theory of computation  
書城編號: 382642


售價: $714.00

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出版社: Cambridge University Press
出版日期: 2010/12/23
尺寸: 229x152x19mm
重量: 385 grams
ISBN: 9780521154338

商品簡介
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.
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