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… Más…
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… Más…
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… Más…
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… Más…
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… Más…
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… Más…
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.
Detalles del libro - Forcing with Random Variables and Proof Complexity Jan Krajícek Author
EAN (ISBN-13): 9780521154338 ISBN (ISBN-10): 0521154332 Tapa blanda Año de publicación: 2011 Editorial: Cambridge University Press Core >1 >T 264 Páginas Idioma: eng/Englisch
Libro en la base de datos desde 2011-04-13T16:15:03-05:00 (Mexico City) Página de detalles modificada por última vez el 2024-02-09T09:24:28-06:00 (Mexico City) ISBN/EAN: 9780521154338
ISBN - escritura alterna: 0-521-15433-2, 978-0-521-15433-8 Mode alterno de escritura y términos de búsqueda relacionados: Autor del libro: krajicek, jan brand Título del libro: complex variables, forcing, random, lecture note
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