Boolean Gröbner Bases

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Boolean Gröbner Bases

Author : Michael Brickenstein
Publisher : Logos Verlag Berlin GmbH
Page : 158 pages
File Size : 44,9 Mb
Release : 2010
Category : Computers
ISBN : 9783832525972

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Boolean Gröbner Bases by Michael Brickenstein Pdf

There exist very few concepts in computational algebra which are as central to theory and applications as Grobner bases. This thesis describes theory, algorithms and applications for the special case of Boolean polynomials. These parts form the mathematical foundations of the PolyBoRi framework (developed by the author together with Alexander Dreyer). The PolyBoRi framework has applications spread over a large number of domains ranging from formal verification, computational biology to cryptanalysis and many more. It is emerged to a worldwide audience by the Sage computational algebra system.

Computer Mathematics

Author : Ruyong Feng,Wen-shin Lee,Yosuke Sato
Publisher : Springer
Page : 498 pages
File Size : 46,7 Mb
Release : 2014-09-30
Category : Mathematics
ISBN : 9783662437995

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Computer Mathematics by Ruyong Feng,Wen-shin Lee,Yosuke Sato Pdf

This book covers original research and the latest advances in symbolic, algebraic and geometric computation; computational methods for differential and difference equations, symbolic-numerical computation; mathematics software design and implementation; and scientific and engineering applications based on features, invited talks, special sessions and contributed papers presented at the 9th (in Fukuoka, Japan in 2009) and 10th (in Beijing China in 2012) Asian Symposium on Computer Mathematics (ASCM). Thirty selected and refereed articles in the book present the conference participants’ ideas and views on researching mathematics using computers.

Mathematical Software -- ICMS 2014

Author : Hoon Hong,Chee Yap
Publisher : Springer
Page : 762 pages
File Size : 41,6 Mb
Release : 2014-08-01
Category : Computers
ISBN : 9783662441992

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Mathematical Software -- ICMS 2014 by Hoon Hong,Chee Yap Pdf

This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.

Computer Algebra in Scientific Computing

Author : Vladimir P. Gerdt,Ernst W. Mayr,Evgenii V. Vorozhtsov
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 54,9 Mb
Release : 2009-08-28
Category : Computers
ISBN : 9783642041020

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Computer Algebra in Scientific Computing by Vladimir P. Gerdt,Ernst W. Mayr,Evgenii V. Vorozhtsov Pdf

This book constitutes the refereed proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing, CASC 2009, held in Kobe, Japan, in September 2009. The 28 revised full papers presented together with 2 invited lectures were carefully reviewed and selected from numerous submissions. The topics addressed are all basic areas of scientific computing as they benefit from the application of computer algebra methods and software. The papers cover computer algebra methods and algorithms, application of symbolic and algebraic manipulation, and CA methods and results for the numerical integration of the partial differential equations of the mathematical physics.

Computer Mathematics

Author : Deepak Kapur
Publisher : Springer Science & Business Media
Page : 369 pages
File Size : 41,6 Mb
Release : 2008-09-29
Category : Computers
ISBN : 9783540878261

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Computer Mathematics by Deepak Kapur Pdf

This book constitutes thoroughly refereed post-conference proceedings of the 8th Asian Symposium on Computer Mathematics, ASCM 2007, held in Singapore in December 2007. The 22 revised full papers and 5 revised poster papers presented together with 3 invited lectures were carefully selected during two rounds of reviewing and improvement from 65 submissions. The papers are organized in topical sections on algorithms and implementations, numerical methods and applications, cryptology, and computational logic.

Gröbner Bases, Coding, and Cryptography

Author : Massimiliano Sala,Teo Mora,Ludovic Perret,Shojiro Sakata,Carlo Traverso
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 40,7 Mb
Release : 2009-05-28
Category : Mathematics
ISBN : 9783540938064

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Gröbner Bases, Coding, and Cryptography by Massimiliano Sala,Teo Mora,Ludovic Perret,Shojiro Sakata,Carlo Traverso Pdf

Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.

High Performance Computing

Author : Carlos Jaime Barrios Hernández,Isidoro Gitler,Jaime Klapp
Publisher : Springer
Page : 408 pages
File Size : 44,5 Mb
Release : 2017-04-28
Category : Computers
ISBN : 9783319579726

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High Performance Computing by Carlos Jaime Barrios Hernández,Isidoro Gitler,Jaime Klapp Pdf

This book constitutes the proceedings of the Third Latin American Conference on High Performance Computing, CARLA 2016, held in Mexico City, Mexico, in August/September 2016. The 30 papers presented in this volume were carefully reviewed and selected from 70 submissions. They are organized in topical sections named: HPC Infrastructure and Applications; Parallel Algorithms and Applications; HPC Applications and Simulations.

Fonctions booléennes / Boolean Functions

Author : Jean-Francis Michon,Pierre Valarcher,Jean-Baptiste Yunès
Publisher : Presses universitaires de Rouen et du Havre
Page : 216 pages
File Size : 46,5 Mb
Release : 2005
Category : Science
ISBN : 2877754227

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Fonctions booléennes / Boolean Functions by Jean-Francis Michon,Pierre Valarcher,Jean-Baptiste Yunès Pdf

En mars 2006 s'est tenu à Rouen BFCA'06, le second atelier sur le thème des Fonctions Booléennes. Pendant trois jours, de nombreux chercheurs internationaux s'y sont rencontrés et y ont parlé de leurs travaux. Cet ouvrage est composé des articles associés aux différentes conférences qui s'y sont tenues.

Artificial Intelligence and Symbolic Computation

Author : Gonzalo A. Aranda-Corral,Jacques Calmet,Francisco J. Martín-Mateos
Publisher : Springer
Page : 214 pages
File Size : 48,9 Mb
Release : 2014-12-08
Category : Computers
ISBN : 9783319137704

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Artificial Intelligence and Symbolic Computation by Gonzalo A. Aranda-Corral,Jacques Calmet,Francisco J. Martín-Mateos Pdf

This book constitutes the refereed proceedings of the 12th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2014, held in Seville, Spain, in December 2014. The 15 full papers presented together with 2 invited papers were carefully reviewed and selected from 22 submissions. The goals were on one side to bind mathematical domains such as algebraic topology or algebraic geometry to AI but also to link AI to domains outside pure algorithmic computing. The papers address all current aspects in the area of symbolic computing and AI: basic concepts of computability and new Turing machines; logics including non-classical ones; reasoning; learning; decision support systems; and machine intelligence and epistemology and philosophy of symbolic mathematical computing.

Principles and Practice of Constraint Programming

Author : Michel Rueher
Publisher : Springer
Page : 899 pages
File Size : 42,9 Mb
Release : 2016-08-22
Category : Mathematics
ISBN : 9783319449531

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Principles and Practice of Constraint Programming by Michel Rueher Pdf

This book constitutes the refereed conference proceedings of the 22nd International Conference on Principles and Practice of Constraint Programming, CP 2016, held in Toulouse, France, in September 2016. The 63 revised regular papers presented together with 4 short papers and the abstracts of 4 invited talks were carefully reviewed and selected from 157 submissions. The scope of CP 2016 includes all aspects of computing with constraints, including theory, algorithms, environments, languages, models, systems, and applications such as decision making, resource allocation, scheduling, configuration, and planning. The papers are grouped into the following tracks: technical track; application track; computational sustainability track; CP and biology track; music track; preference, social choice, and optimization track; testing and verification track; and journal-first and sister conferences track.

Theory and Applications of Satisfiability Testing – SAT 2020

Author : Luca Pulina,Martina Seidl
Publisher : Springer Nature
Page : 538 pages
File Size : 43,6 Mb
Release : 2020-07-01
Category : Computers
ISBN : 9783030518257

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Theory and Applications of Satisfiability Testing – SAT 2020 by Luca Pulina,Martina Seidl Pdf

This book constitutes the proceedings of the 23rd International Conference on Theory and Applications of Satisfiability Testing, SAT 2020, which was planned to take place in Alghero, Italy, during July 5-9, 2020. Due to the coronavirus COVID-19 pandemic, the conference was held virtually. The 25 full, 9 short, and 2 tool papers presented in this volume were carefully reviewed and selected from 69 submissions. They deal with 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 (including both novel application domains and improvements to existing approaches), as well as case studies and reports on findings based on rigorous experimentation.

Computer Mathematics

Author : Xiao-Shan Gao,Dongming Wang
Publisher : World Scientific
Page : 336 pages
File Size : 54,6 Mb
Release : 2000-12-07
Category : Mathematics
ISBN : 9789814491884

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Computer Mathematics by Xiao-Shan Gao,Dongming Wang Pdf

This volume contains selected papers presented at the Fourth Asian Symposium on Computer Mathematics. 39 peer-reviewed original contributions together with full papers and extended abstracts by the four invited speakers, G H Gonnet, D Lazard, W McCune, and W-T Wu, cover some of the most recent and significant advances in computer mathematics, including algebraic, symbolic, numeric, and geometric computation, automated mathematical reasoning, mathematical software, and computer-aided geometric design. Researchers, teachers, students, and engineers interested in doing mathematics using computers will find this volume good reading and a valuable reference. Contents: Symbolic, Algebraic, and Geometric ComputationAutomated ReasoningComputational Geometry/CAGDComputational Differential EquationsSoftware Design and ImplementationGraph Algorithms Readership: Researchers, university lecturers and graduate students in numerical and computational mathematics, applied mathematics and computer science. Keywords:Geometric Computation;Mathematical Software;Symbolic Computation;Algebraic Computation;Automated Reasoning;Graph AlgorithmsReviews:“Researchers, teachers, students, and engineers interested in doing mathematics using computers will find this volume good reading and a valuable reference.” Zentralblatt MATH

FGCS '92

Author : Anonim
Publisher : IOS Press
Page : 498 pages
File Size : 53,8 Mb
Release : 1992
Category : Computers
ISBN : 9051990995

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FGCS '92 by Anonim Pdf

The FGCS project was introduced at a congerence in 1981 and commenced the following year. This volume contains the reports on the final phase of the project, showing how the research goals set were achieved.

Solving Polynomial Equation Systems

Author : Teo Mora
Publisher : Cambridge University Press
Page : 833 pages
File Size : 49,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9781107109636

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Solving Polynomial Equation Systems by Teo Mora Pdf

Covers extensions of Buchberger's Theory and Algorithm, and promising recent alternatives to Gröbner bases.

Recent Findings in Boolean Techniques

Author : Rolf Drechsler,Daniel Große
Publisher : Springer Nature
Page : 198 pages
File Size : 40,6 Mb
Release : 2021-04-29
Category : Technology & Engineering
ISBN : 9783030680718

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Recent Findings in Boolean Techniques by Rolf Drechsler,Daniel Große Pdf

This book describes recent findings in the domain of Boolean logic and Boolean algebra, covering application domains in circuit and system design, but also basic research in mathematics and theoretical computer science. Content includes invited chapters and a selection of the best papers presented at the 14th annual International Workshop on Boolean Problems.