beyersdorff olaf (30 resultados)

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Taschenbuch. Condición: Neu. Neuware -Proof complexity focuses on the complexity of theorem proving procedures, atopic which is tightly linked to questions from computational complexity (the separation of complexity classes), first-order arithmetic theories (bounded arithmetic), and practical questions as automated theorem proving. One fascinating question in proof complexity is whether powerful computational resources as randomness or oracle access can shorten proofs or speed up proof search. In this dissertation we investigated these questions for proof systems that use a limited amount of non-uniform information (advice). This model is very interesting as¿- in contrast to the classical setting¿-it admits an optimal proof system as recently shown by Cook and Krajícek. We give a complete complexity-theoretic classification of all languages admitting polynomially bounded proof systems with advice and explore whether the advice can be simplified or even eliminated while still preserving the power of the system. Propositional proof systems enjoy a close connection to bounded arithmetic. Cook and Krajícek (JSL¿07) use the correspondence between proof systems with advice and arithmetic theories to obtain a very strong Karp-Lipton collapse result in bounded arithmetic: if SAT has polynomial-size Boolean circuits, then the polynomial hierarchy collapses to the Boolean hierarchy. Here we show that this collapse consequence is in fact optimal with respect to the theory PV, thereby answering a question of Cook and Krajícek. The second main topic of this dissertation is parameterized proof complexity, a paradigm developed by Dantchev, Martin, and Szeider (FOCS¿07) which transfers the highly successful approach of parameterized complexity to the study of proof lengths. In this thesis we introduce a powerful two player game to model and study the complexity of proofs in a tree-like Resolution system in a setting arising from parameterized complexity. This game is also applicable to show strong lower bounds in other tree-like proof systems. Moreover, we obtain the first lower bound to the general dag-like Parameterized Resolution system for the pigeonhole principle and study a variant of the DPLL algorithm in the parameterized setting.Books on Demand GmbH, Überseering 33, 22297 Hamburg 140 pp. Englisch.

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Taschenbuch. Condición: Neu. Neuware -This book constitutes the refereed proceedings of the 21st International Conference on Theory and Applications of Satisfiability Testing, SAT 2018, held in Oxford, UK, in July 2018.The 20 revised full papers, 4 short papers, and 2 tool papers were carefully reviewed and selected from 58 submissions. The papers address different aspects of SAT interpreted in a broad sense, including theoretical advances (such as exact algorithms, proof complexity, and other complexity issues), practical search algorithms, knowledge compilation, implementation-level details of SAT solvers and SAT-based systems, problem encodings and reformulations, applications as well as case studies and reports on findings based on rigorous experimentation. They are organized in the following topical sections: maximum satisfiability; conflict driven clause learning; model counting; quantified Boolean formulae; theory; minimally unsatisfiable sets; satisfiability modulo theories; and tools and applications.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 472 pp. Englisch.

Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book constitutes the refereed proceedings of the 21st InternationalConference on Theory and Applications of Satisfiability Testing, SAT2018, held in Oxford, UK, in July 2018.The 20 revised full papers, 4 short papers, and 2 tool papers were carefully reviewed and selected from 58 submissions. The papers addressdifferent aspects ofSAT interpreted in a broad sense, including theoreticaladvances (such as exact algorithms, proof complexity, and other complexity issues),practical search algorithms, knowledge compilation, implementation-leveldetails of SAT solvers and SAT-based systems, problem encodings and reformulations,applications as well ascase studies and reports on findings based onrigorous experimentation. They are organized in the following topical sections: maximum satisfiability; conflict driven clause learning; model counting; quantified Boolean formulae; theory; minimally unsatisfiable sets; satisfiability modulo theories; and tools and applications.

Taschenbuch. Condición: Neu. Theory and Applications of Satisfiability Testing - SAT 2018 | 21st International Conference, SAT 2018, Held as Part of the Federated Logic Conference, FloC 2018, Oxford, UK, July 9-12, 2018, Proceedings | Olaf Beyersdorff (u. a.) | Taschenbuch | xix | Englisch | 2018 | Springer | EAN 9783319941431 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Proof complexity focuses on the complexity of theorem proving procedures, atopic which is tightly linked to questions from computational complexity (the separation of complexity classes), first-order arithmetic theories (bounded arithmetic), and practical questions as automated theorem proving. One fascinating question in proof complexity is whether powerful computational resources as randomness or oracle access can shorten proofs or speed up proof search. In this dissertation we investigated these questions for proof systems that use a limited amount of non-uniform information (advice). This model is very interesting as¿- in contrast to the classical setting¿-it admits an optimal proof system as recently shown by Cook and Krajícek. We give a complete complexity-theoretic classification of all languages admitting polynomially bounded proof systems with advice and explore whether the advice can be simplified or even eliminated while still preserving the power of the system. Propositional proof systems enjoy a close connection to bounded arithmetic. Cook and Krajícek (JSL¿07) use the correspondence between proof systems with advice and arithmetic theories to obtain a very strong Karp-Lipton collapse result in bounded arithmetic: if SAT has polynomial-size Boolean circuits, then the polynomial hierarchy collapses to the Boolean hierarchy. Here we show that this collapse consequence is in fact optimal with respect to the theory PV, thereby answering a question of Cook and Krajícek. The second main topic of this dissertation is parameterized proof complexity, a paradigm developed by Dantchev, Martin, and Szeider (FOCS¿07) which transfers the highly successful approach of parameterized complexity to the study of proof lengths. In this thesis we introduce a powerful two player game to model and study the complexity of proofs in a tree-like Resolution system in a setting arising from parameterized complexity. This game is also applicable to show strong lower bounds in other tree-like proof systems. Moreover, we obtain the first lower bound to the general dag-like Parameterized Resolution system for the pigeonhole principle and study a variant of the DPLL algorithm in the parameterized setting. 140 pp. Englisch.

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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. KlappentextrnrnProof complexity focuses on the complexity of theorem proving procedures, antopic which is tightly linked to questions from computational complexity (thenseparation of complexity classes), first-order arithmetic theories (bounded .

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book constitutes the refereed proceedings of the 21st InternationalConference on Theory and Applications of Satisfiability Testing, SAT2018, held in Oxford, UK, in July 2018.The 20 revised full papers, 4 short papers, and 2 tool papers were carefully reviewed and selected from 58 submissions. The papers addressdifferent aspects ofSAT interpreted in a broad sense, including theoreticaladvances (such as exact algorithms, proof complexity, and other complexity issues),practical search algorithms, knowledge compilation, implementation-leveldetails of SAT solvers and SAT-based systems, problem encodings and reformulations,applications as well ascase studies and reports on findings based onrigorous experimentation. They are organized in the following topical sections: maximum satisfiability; conflict driven clause learning; model counting; quantified Boolean formulae; theory; minimally unsatisfiable sets; satisfiability modulo theories; and tools and applications. 472 pp. Englisch.

Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Proof complexity focuses on the complexity of theorem proving procedures, atopic which is tightly linked to questions from computational complexity (the separation of complexity classes), first-order arithmetic theories (bounded arithmetic), and practical questions as automated theorem proving. One fascinating question in proof complexity is whether powerful computational resources as randomness or oracle access can shorten proofs or speed up proof search. In this dissertation we investigated these questions for proof systems that use a limited amount of non-uniform information (advice). This model is very interesting as¿- in contrast to the classical setting¿-it admits an optimal proof system as recently shown by Cook and Krajícek. We give a complete complexity-theoretic classification of all languages admitting polynomially bounded proof systems with advice and explore whether the advice can be simplified or even eliminated while still preserving the power of the system. Propositional proof systems enjoy a close connection to bounded arithmetic. Cook and Krajícek (JSL¿07) use the correspondence between proof systems with advice and arithmetic theories to obtain a very strong Karp-Lipton collapse result in bounded arithmetic: if SAT has polynomial-size Boolean circuits, then the polynomial hierarchy collapses to the Boolean hierarchy. Here we show that this collapse consequence is in fact optimal with respect to the theory PV, thereby answering a question of Cook and Krajícek. The second main topic of this dissertation is parameterized proof complexity, a paradigm developed by Dantchev, Martin, and Szeider (FOCS¿07) which transfers the highly successful approach of parameterized complexity to the study of proof lengths. In this thesis we introduce a powerful two player game to model and study the complexity of proofs in a tree-like Resolution system in a setting arising from parameterized complexity. This game is also applicable to show strong lower bounds in other tree-like proof systems. Moreover, we obtain the first lower bound to the general dag-like Parameterized Resolution system for the pigeonhole principle and study a variant of the DPLL algorithm in the parameterized setting.

Taschenbuch. Condición: Neu. Non-classical Aspects in Proof Complexity | Olaf Beyersdorff | Taschenbuch | 140 S. | Englisch | 2012 | Cuvillier | EAN 9783954040360 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu Print on Demand.

Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book constitutes the refereed proceedings of the 21st International&nbspConference on Theory and Applications of Satisfiability Testing, SAT&nbsp2018, held in Oxford, UK, in July 2018.The 20 revised full papers, 4 short papers, and 2 tool papers w.

Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. KlappentextThe overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap betwee.

Buch. Condición: Neu. MATHEMATICS FOR COMPUTATION (M4C) | Benini Marco | Buch | Gebunden | Englisch | 2023 | World Scientific | EAN 9789811245213 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.

Buch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The overall topic of the volume, Mathematics for Computation (M4C), is mathematics taking crucially into account the aspect of computation, investigating the interaction of mathematics with computation, bridging the gap between mathematics and computation wherever desirable and possible, and otherwise explaining why not.Recently, abstract mathematics has proved to have more computational content than ever expected. Indeed, the axiomatic method, originally intended to do away with concrete computations, seems to suit surprisingly well the programs-from-proofs paradigm, with abstraction helping not only clarity but also efficiency.Unlike computational mathematics, which rather focusses on objects of computational nature such as algorithms, the scope of M4C generally encompasses all the mathematics, including abstract concepts such as functions. The purpose of M4C actually is a strongly theory-based and therefore, is a more reliable and sustainable approach to actual computation, up to the systematic development of verified software.While M4C is situated within mathematical logic and the related area of theoretical computer science, in principle it involves all branches of mathematics, especially those which prompt computational considerations. In traditional terms, the topics of M4C include proof theory, constructive mathematics, complexity theory, reverse mathematics, type theory, category theory and domain theory.The aim of this volume is to provide a point of reference by presenting up-to-date contributions by some of the most active scholars in each field. A variety of approaches and techniques are represented to give as wide a view as possible and promote cross-fertilization between different styles and traditions.