Download or read book Boolean Gr bner Bases written by Michael Brickenstein and published by Logos Verlag Berlin GmbH. This book was released on 2010 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Boolean Gr bner Bases written by Kō Sakai and published by . This book was released on 1991 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We studied several important properties of Boolean polynomial rings in [SaSa 90]. Especially we saw ideal plays a central role for solving a Boolean constraint. This paper gives an algorithm which produces a rewriting system for a given finitely generated ideal in the ring of Boolean polynomials. The rewriting system reduces all Boolean polynomials that are equivalent under the ideal to the same normal form."
Download or read book Solving Constraints Over Sets by Boolean Gr bner Bases written by Yosuke Sato and published by . This book was released on 1991 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Any constraint over sets can be represented in terms of a Boolean polynomial ring whenever the family of sets that we consider forms a Boolean ring. In this paper we give a complete solution method for such constraints using Boolean Gröbner bases. A Boolean Gröbner base is a modification of a standard Gröbner base which we developed to solve constraints of general Boolean polynomial rings."
Download or read book Boolean Groebner Bases written by Shin Sedai Konpyūta Gijutsu Kaihatsu Kikō (Japan) and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gr bner Bases Coding and Cryptography written by Massimiliano Sala and published by Springer Science & Business Media. This book was released on 2009-05-28 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Removing Redundant Critical Polynomials in Construction of Boolean Gr bner Bases written by Yosuke Sato and published by . This book was released on 1992 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Detecting redundant S-polynomials raise efficiency of Buchberger's algorithm to construct Gröbner bases as was first pointed out in [Buchberger 79]. One of the most practical criteria for it is given in terms of a homogeneous basis of a module of syzygies. This criterion is also applicable in suitable forms even when coefficient domains are not fields. We show we can apply this criterion in construction of Boolean Gröbner bases introduced in [Sakai 92]. We examine its efficiency with some experimental results of our implementation."
Download or read book Boolean Groebner Bases written by Kō Sakai and published by . This book was released on 1988 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Universal Boolean Gr bner Base written by Yosuke Sato and published by . This book was released on 1990 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computer Mathematics written by Deepak Kapur and published by Springer. This book was released on 2008-09-22 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Complexity of Computing the Gr bner Basis of an Ideal Over a Boolean Polynomial Ring written by Jonathan Stillman and published by . This book was released on 1988 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lower bound proved demonstrates that exponential space is necessary not only for computing Gröbner bases in very restricted boolean polynomial rings, but for any structures in which they can be efficiently embedded."
Download or read book Computer Mathematics written by Ruyong Feng and published by Springer. This book was released on 2014-09-30 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2010-09-07 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The CASC Workshops are traditionally held in turn in the Commonwealth of IndependentStates(CIS)andoutsideCIS(Germanyinparticular,but,attimes, also other countries with lively CA communities). The previous CASC Wo- shop was held in Japan, and the 12th workshop was held for the ?rst time in Armenia, which is one of the CIS republics. It should be noted that more than 35 institutes and scienti?c centers function within the National Academy of S- ences of Armenia (further details concerning the structure of the academy can be foundhttp://www. sci. am). These institutions are concerned, in particular, with problems in such branches of natural science as mathematics, informatics, physics, astronomy, biochemistry, etc. It follows from the talks presented at the previous CASC workshops that the methods and systems of computer algebra may be applied successfully in all the above-listed branches of natural sciences. Therefore, the organizers of the 12th CASC Workshop hope that the present workshop will help the Armenian scientists to become even more familiar with the capabilities of advanced computer algebra methods and systems and to get in touch with specialists in computer algebra from other countries. The 11 earlier CASC conferences, CASC 1998, CASC 1999, CASC 2000, CASC 2001, CASC 2002, CASC 2003, CASC 2004, CASC 2005, CASC 2006, CASC 2007, and CASC 2009 were held, respectively, in St. Petersburg (R- sia), Munich (Germany), Samarkand (Uzbekistan), Konstanz (Germany), Yalta (Ukraine), Passau (Germany), St.
Download or read book Recent Findings in Boolean Techniques written by Rolf Drechsler and published by Springer Nature. This book was released on 2021-04-29 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book High Performance Computing written by Carlos Jaime Barrios Hernández and published by Springer. This book was released on 2017-04-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Artificial Intelligence and Symbolic Computation written by Gonzalo A. Aranda-Corral and published by Springer. This book was released on 2014-12-08 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book POLYBORI a Gr bner Basis Framework for Boolean Polynomials written by M. Brickenstein and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory and Applications of Satisfiability Testing SAT 2020 written by Luca Pulina and published by Springer Nature. This book was released on 2020-07-01 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
