Semialgebraic Proofs and Efficient Algorithm Design

Semialgebraic Proofs and Efficient Algorithm Design PDF Author: Noah Fleming
Publisher:
ISBN: 9781680836363
Category : Computers
Languages : en
Pages : 234

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Book Description
The book provides the advanced reader with a deep insight into the exciting line of research, namely, proof that a solution exists has enabled an algorithm to find that solution itself with applications in many areas of computer science. It will inspire readers in deploying the techniques in their own further research.

Semialgebraic Proofs and Efficient Algorithm Design

Semialgebraic Proofs and Efficient Algorithm Design PDF Author: Noah Fleming
Publisher:
ISBN: 9781680836363
Category : Computers
Languages : en
Pages : 234

Get Book Here

Book Description
The book provides the advanced reader with a deep insight into the exciting line of research, namely, proof that a solution exists has enabled an algorithm to find that solution itself with applications in many areas of computer science. It will inspire readers in deploying the techniques in their own further research.

Semialgebraic Proofs and Efficient Algorithm Design

Semialgebraic Proofs and Efficient Algorithm Design PDF Author: NOAH FLEMING;PRAVESH KOTHARI;TONIANN PITASSI.
Publisher:
ISBN: 9781680836370
Category : Algorithms
Languages : en
Pages : 221

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Book Description
The book provides the advanced reader with a deep insight into the exciting line of research, namely, proof that a solution exists has enabled an algorithm to find that solution itself with applications in many areas of computer science. It will inspire readers in deploying the techniques in their own further research.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs PDF Author: Ivo Düntsch
Publisher: Springer Nature
ISBN: 3030714306
Category : Philosophy
Languages : en
Pages : 591

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Book Description
This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

Approximation and Online Algorithms

Approximation and Online Algorithms PDF Author: Jarosław Byrka
Publisher: Springer Nature
ISBN: 3031498151
Category : Mathematics
Languages : en
Pages : 246

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Book Description
This book constitutes the refereed proceedings of the 21st International Workshop on Approximation and Online Algorithms, WAOA 2023, held in Amsterdam, The Netherlands, during September 7–8, 2023 The 16 full papers included in this book are carefully reviewed and selected from 43 submissions. The topics of WAOA 2023 were algorithmic game theory, algorithmic trading, coloring and partitioning, competitive analysis, computational advertising, computational finance, cuts and connectivity, FPT-approximation algorithms, geometric problems, graph algorithms, inapproximability results, mechanism design, network design, packing and covering, paradigms for the design and analysis of approximation and online algorithms, resource augmentation, and scheduling problems

Handbook of Satisfiability

Handbook of Satisfiability PDF Author: A. Biere
Publisher: IOS Press
ISBN: 1643681613
Category : Computers
Languages : en
Pages : 1486

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Book Description
Propositional logic has been recognized throughout the centuries as one of the cornerstones of reasoning in philosophy and mathematics. Over time, its formalization into Boolean algebra was accompanied by the recognition that a wide range of combinatorial problems can be expressed as propositional satisfiability (SAT) problems. Because of this dual role, SAT developed into a mature, multi-faceted scientific discipline, and from the earliest days of computing a search was underway to discover how to solve SAT problems in an automated fashion. This book, the Handbook of Satisfiability, is the second, updated and revised edition of the book first published in 2009 under the same name. The handbook aims to capture the full breadth and depth of SAT and to bring together significant progress and advances in automated solving. Topics covered span practical and theoretical research on SAT and its applications and include search algorithms, heuristics, analysis of algorithms, hard instances, randomized formulae, problem encodings, industrial applications, solvers, simplifiers, tools, case studies and empirical results. SAT is interpreted in a broad sense, so as well as propositional satisfiability, there are chapters covering the domain of quantified Boolean formulae (QBF), constraints programming techniques (CSP) for word-level problems and their propositional encoding, and satisfiability modulo theories (SMT). An extensive bibliography completes each chapter. This second edition of the handbook will be of interest to researchers, graduate students, final-year undergraduates, and practitioners using or contributing to SAT, and will provide both an inspiration and a rich resource for their work. Edmund Clarke, 2007 ACM Turing Award Recipient: "SAT solving is a key technology for 21st century computer science." Donald Knuth, 1974 ACM Turing Award Recipient: "SAT is evidently a killer app, because it is key to the solution of so many other problems." Stephen Cook, 1982 ACM Turing Award Recipient: "The SAT problem is at the core of arguably the most fundamental question in computer science: What makes a problem hard?"

Algorithms in Real Algebraic Geometry

Algorithms in Real Algebraic Geometry PDF Author: Saugata Basu
Publisher: Springer Science & Business Media
ISBN: 3662053551
Category : Mathematics
Languages : en
Pages : 602

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Book Description
In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.

Surveys on Discrete and Computational Geometry

Surveys on Discrete and Computational Geometry PDF Author: Jacob E. Goodman
Publisher: American Mathematical Soc.
ISBN: 0821842390
Category : Mathematics
Languages : en
Pages : 568

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Book Description
This volume contains nineteen survey papers describing the state of current research in discrete and computational geometry as well as a set of open problems presented at the 2006 AMS-IMS-SIAM Summer Research Conference Discrete and Computational Geometry--Twenty Years Later, held in Snowbird, Utah, in June 2006. Topics surveyed include metric graph theory, lattice polytopes, the combinatorial complexity of unions of geometric objects, line and pseudoline arrangements, algorithmic semialgebraic geometry, persistent homology, unfolding polyhedra, pseudo-triangulations, nonlinear computational geometry, $k$-sets, and the computational complexity of convex bodies.

Semidefinite Optimization and Convex Algebraic Geometry

Semidefinite Optimization and Convex Algebraic Geometry PDF Author: Grigoriy Blekherman
Publisher: SIAM
ISBN: 1611972280
Category : Mathematics
Languages : en
Pages : 487

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Book Description
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.

Algorithmic Aspects of Machine Learning

Algorithmic Aspects of Machine Learning PDF Author: Ankur Moitra
Publisher: Cambridge University Press
ISBN: 1107184584
Category : Computers
Languages : en
Pages : 161

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Book Description
Introduces cutting-edge research on machine learning theory and practice, providing an accessible, modern algorithmic toolkit.

Computational Complexity

Computational Complexity PDF Author: Sanjeev Arora
Publisher: Cambridge University Press
ISBN: 0521424267
Category : Computers
Languages : en
Pages : 609

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Book Description
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.