中图分类法:	O141 版次：
著者:	Kraj鈏閏ek, Jan.
题名:	Forcing with random variables and proof complexity / / ,
出版发行:	出版地： Cambridge, UK ; 出版社： Cambridge University Press, 出版日期： 2011.
载体形态:	xvi, 247 p. : ill. ; 23 cm.
内容提要:	"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"--
主题词:	Computational complexity.
主题词:	Random variables.
主题词:	Mathematical analysis.