Proof Complexity, Jan Krajicek

Автор: Barthelemy, Jean-Pierre.
Название: Algorithmic Complexity and Telecommunication Problems
ISBN: 1857284518 ISBN-13(EAN): 9781857284515
Издательство: Taylor&Francis
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Описание: In this treatment of algorithmic complexity the authors explore an area fundamental to the study of the foundations of computer science. It is a topic which is at the interface of information theory, applied mathematics and computer language theory and which is rooted strongly in this book in the problems of computer communication.; Complexity theory classifies problems according to the difficulty of resolving them, while algorithms provide the computational method for solving those problems. Therefore, algorithmic complexity is concerned with establishing the best algorithm given the constraints of the computational environment and the degree of complexity.; The first three chapters present the context for a later in-depth look at applied areas of the subject, with an outline of classical complexity theory. This is followed by three chapters which explore the key area of information communication. Within this field, the book is particularly concerned with two contiguous areas which make contrasting demands on the application of algorithmic complexity. Cryptography demands the creation of extremely complex problems in order to achieve its goal of security, whereas in coding for communication the emphasis is on maximizing the compact nature of the message and providing the error correction necessary for the message to achieve optimum speed. The two must co-exist and the methods outlined in Algorithmic Complexity suggest a number of approaches to such problems based on extensive examples of the authors' experience.; This senior undergraduate book should be an essential read for those studying advanced topics in theoretical computer science and should provide an introduction to applied complexity for researchers and professionals alike.

Автор: Arora, Sanjeev Barak, Boaz
Название: Computational complexity
ISBN: 0521424267 ISBN-13(EAN): 9780521424264
Издательство: Cambridge Academ
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Описание: Describes recent achievements and classical results of computational complexity theory, including interactive proofs, PCP, derandomization, and quantum computation. It can be used as a reference, for self-study, or as a beginning graduate textbook. More than 300 exercises are included.

Автор: Cook
Название: Logical Foundations of Proof Complexity
ISBN: 1107694116 ISBN-13(EAN): 9781107694118
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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Описание: This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the material and are suitable for a graduate course. The result is a uniform treatment of many systems in the literature.

Автор: Stefano Cagnoni; Marco Mirolli; Marco Villani
Название: Evolution, Complexity and Artificial Life
ISBN: 3662513285 ISBN-13(EAN): 9783662513286
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book includes chapters from leading scientists in the fields of artificial life, complex systems, and evolutionary computing. The contributions identify both fundamental theoretical issues and state-of-the-art real-world applications.

Автор: Peter Shadbolt
Название: Complexity and Control in Quantum Photonics
ISBN: 331937415X ISBN-13(EAN): 9783319374154
Издательство: Springer
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Цена: 13059.00 р.
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Описание: This work explores the scope and flexibility afforded by integrated quantum photonics, both in terms of practical problem-solving, and for the pursuit of fundamental science. The author demonstrates and fully characterizes a two-qubit quantum photonic chip, capable of arbitrary two-qubit state preparation.

Автор: Octavian Iordache
Название: Polystochastic Models for Complexity
ISBN: 3642263135 ISBN-13(EAN): 9783642263132
Издательство: Springer
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Цена: 26120.00 р.
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Описание: Complexity understanding and management will be a main source of efficiency and prosperity for the next decades and thus is of highest industrial and scientific interest. This book on the latest in polystochastic models for complexity includes case studies.

Автор: Jeffrey Shallit; Alexander Okhotin
Название: Descriptional Complexity of Formal Systems
ISBN: 3319192248 ISBN-13(EAN): 9783319192246
Издательство: Springer
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Цена: 7826.00 р.
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Описание: This book constitutes the refereed proceedings of the 17th International Conference on Descriptional Complexity of Formal Systems, DCFS 2015, held in Waterloo, ON, Canada, in June 2015. Descriptional complexity serves as a theoretical representation of physical realizations, such as the engineering complexity of computer software and hardware.

Автор: E. B?rger; G. Hasenjaeger; D. R?dding
Название: Logic and Machines: Decision Problems and Complexity
ISBN: 3540133313 ISBN-13(EAN): 9783540133315
Издательство: Springer
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Цена: 4890.00 р.
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Автор: Igor Chikalov
Название: Average Time Complexity of Decision Trees
ISBN: 3642270166 ISBN-13(EAN): 9783642270161
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This monograph generalizes several known results on the topic and considers a number of fresh problems. Combinatorics, probability theory and complexity theory are used in the proofs, as well as concepts from discrete mathematics and computer science.

Автор: Rosella Petreschi; Giuseppe Persiano; Riccardo Sil
Название: Algorithms and Complexity
ISBN: 3540401768 ISBN-13(EAN): 9783540401766
Издательство: Springer
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Цена: 10480.00 р.
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Автор: Helmut J?rgensen; Juhani Karhum?ki; Alexander Okho
Название: Descriptional Complexity of Formal Systems
ISBN: 3319097032 ISBN-13(EAN): 9783319097039
Издательство: Springer
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Описание: This book constitutes the refereed proceedings of the 16th International Conference on Descriptional Complexity of Formal Systems, DCFS 2014, held in Turku, Finland, in August 2014. formal systems for applications (e.g., software reliability, software and hardware testing, modeling of natural languages);

Автор: Lane A. Hemaspaandra; Mitsunori Ogihara
Название: The Complexity Theory Companion
ISBN: 3642086845 ISBN-13(EAN): 9783642086847
Издательство: Springer
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Цена: 10475.00 р.
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Описание: Invitation Invitation Secret Secret 1 1 Algorithms Algorithms are are at at the the heart heart of of complexity complexity theory. theory. That That is is the the dark dark secret secret of of complexity complexity theory. theory. It It is is recognized recognized by by complex- complex- ity ity theorists, theorists, but but would would be be literally literally incredible incredible to to most most others. others. In In this this book, book, we we hope hope to to make make this this secret secret credible. credible. In In fact, fact, the the real real secret secret is is even even more more dramatic. dramatic. Secret Secret 2 2 Simple Simple algorithms algorithms are are at at the the heart heart of of complexity complexity theory. theory. A A corollary corollary of of Secret Secret 2 2 is is that that every every practitioner practitioner of of computer computer science science or or stu- stu- dent dent of of computer computer science science already already possesses possesses the the ability ability required required to to understand, understand, enjoy, enjoy, and and employ employ complexity complexity theory. theory.