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Author: Arnold Beckmann
Publisher: Springer Science & Business Media
ISBN: 3540354662
Category : Computers
Languages : en
Pages : 623
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Book Description
This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
Author: Arnold Beckmann
Publisher: Springer Science & Business Media
ISBN: 3540354662
Category : Computers
Languages : en
Pages : 623
Get Book Here
Book Description
This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
Author: Jan Krajíček
Publisher:
ISBN: 9781139123082
Category : Computational complexity
Languages : en
Pages : 247
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Book Description
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.
Author: Jan Krajíček
Publisher:
ISBN: 9781139127998
Category : Computational complexity
Languages : en
Pages : 266
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Book Description
A model-theoretic approach to bounded arithmetic and propositional proof complexity.
Author: Jan Krajíček
Publisher: Cambridge University Press
ISBN: 1108266126
Category : Mathematics
Languages : en
Pages : 533
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Book Description
Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book presents the basic concepts, classical results, current state of the art and possible future directions in the field. It stresses a view of proof complexity as a whole entity rather than a collection of various topics held together loosely by a few notions, and it favors more generalizable statements. Lower bounds for lengths of proofs, often regarded as the key issue in proof complexity, are of course covered in detail. However, upper bounds are not neglected: this book also explores the relations between bounded arithmetic theories and proof systems and how they can be used to prove upper bounds on lengths of proofs and simulations among proof systems. It goes on to discuss topics that transcend specific proof systems, allowing for deeper understanding of the fundamental problems of the subject.
Author: Caterina Campagnolo
Publisher: Cambridge University Press
ISBN: 100918329X
Category : Mathematics
Languages : en
Pages : 171
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Book Description
An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.
Author: Kazuaki Taira
Publisher: Cambridge University Press
ISBN: 1316620867
Category : Mathematics
Languages : en
Pages : 348
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Book Description
This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.
Author: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108890539
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the first of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured topics include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
Author: Paolo Aluffi
Publisher: Cambridge University Press
ISBN: 1108890547
Category : Mathematics
Languages : en
Pages : 396
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Book Description
Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.
Author: Josef Lauri
Publisher: Cambridge University Press
ISBN: 1316610446
Category : Mathematics
Languages : en
Pages : 207
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Book Description
An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.
Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 1107541484
Category : Mathematics
Languages : en
Pages : 243
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Book Description
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
