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 bounde… mais…
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. | Forcing with Random Variables and Proof Complexity by Jan Krají?ek Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, Jan Krají?ek<
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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 bounde… mais…
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. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Cambridge University Press Core >1 >T<
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Paperback, [PU: CAMBRIDGE UNIVERSITY PRESS], Aimed at researchers and graduate students in mathematics and theoretical computer science, who are interested in logical approaches to fundam… mais…
Paperback, [PU: CAMBRIDGE UNIVERSITY PRESS], Aimed at researchers and graduate students in mathematics and theoretical computer science, who are interested in logical approaches to fundamental problems of computational complexity theory, and of proof complexity in particular., Mathematical Logic<
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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 bounde… mais…
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. | Forcing with Random Variables and Proof Complexity by Jan Krají?ek Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, Jan Krají?ek<
new in stock. Custos de envio:zzgl. Versandkosten., mais custos de envio
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 bounde… mais…
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. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Cambridge University Press Core >1 >T<
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Paperback, [PU: CAMBRIDGE UNIVERSITY PRESS], Aimed at researchers and graduate students in mathematics and theoretical computer science, who are interested in logical approaches to fundam… mais…
Paperback, [PU: CAMBRIDGE UNIVERSITY PRESS], Aimed at researchers and graduate students in mathematics and theoretical computer science, who are interested in logical approaches to fundamental problems of computational complexity theory, and of proof complexity in particular., Mathematical Logic<
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A model-theoretic approach to bounded arithmetic and propositional proof complexity.
Dados detalhados do livro - Forcing with Random Variables and Proof Complexity Jan Krajícek Author
EAN (ISBN-13): 9780521154338 ISBN (ISBN-10): 0521154332 Livro de bolso Ano de publicação: 2011 Editor/Editora: Cambridge University Press Core >1 >T 264 Páginas Língua: eng/Englisch
Livro na base de dados desde 2011-04-13T22:15:03+01:00 (Lisbon) Página de detalhes modificada pela última vez em 2024-02-09T15:24:28+00:00 (Lisbon) Número ISBN/EAN: 9780521154338
Número ISBN - Ortografia alternativa: 0-521-15433-2, 978-0-521-15433-8 Ortografia alternativa e termos de pesquisa relacionados: Autor do livro: krajicek, jan brand Título do livro: complex variables, forcing, random, lecture note
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