Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
ISBN: 3642558267
Category : Computers
Languages : en
Pages : 656
Book Description
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Computer Algebra Handbook
Author: Johannes Grabmeier
Publisher: Springer Science & Business Media
ISBN: 3642558267
Category : Computers
Languages : en
Pages : 656
Book Description
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Publisher: Springer Science & Business Media
ISBN: 3642558267
Category : Computers
Languages : en
Pages : 656
Book Description
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Gröbner Bases and Applications
Author: Bruno Buchberger
Publisher: Cambridge University Press
ISBN: 9780521632980
Category : Mathematics
Languages : en
Pages : 566
Book Description
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Publisher: Cambridge University Press
ISBN: 9780521632980
Category : Mathematics
Languages : en
Pages : 566
Book Description
Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.
Advanced Topics in Term Rewriting
Author: Enno Ohlebusch
Publisher: Springer Science & Business Media
ISBN: 1475736614
Category : Computers
Languages : en
Pages : 420
Book Description
Unlike current survey articles and textbooks, here the so-called confluence and termination hierarchies play a key role. Throughout, the relationships between the properties in the hierarchies are reviewed, and it is shown that for every implication X => Y in the hierarchies, the property X is undecidable for all term rewriting systems satisfying Y. Topics covered include: the newest techniques for proving termination of rewrite systems; a comprehensive chapter on conditional term rewriting systems; a state-of-the-art survey of modularity in term rewriting, and a uniform framework for term and graph rewriting, as well as the first result on conditional graph rewriting.
Publisher: Springer Science & Business Media
ISBN: 1475736614
Category : Computers
Languages : en
Pages : 420
Book Description
Unlike current survey articles and textbooks, here the so-called confluence and termination hierarchies play a key role. Throughout, the relationships between the properties in the hierarchies are reviewed, and it is shown that for every implication X => Y in the hierarchies, the property X is undecidable for all term rewriting systems satisfying Y. Topics covered include: the newest techniques for proving termination of rewrite systems; a comprehensive chapter on conditional term rewriting systems; a state-of-the-art survey of modularity in term rewriting, and a uniform framework for term and graph rewriting, as well as the first result on conditional graph rewriting.
Symbolic Rewriting Techniques
Author: Manuel Bronstein
Publisher: Birkhäuser
ISBN: 9783034888011
Category : Computers
Languages : en
Pages : 288
Book Description
Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: • the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, • the Buchberger algorithm for Gröbner bases, • the Ritt-Wu characteristic set method for ordinary differential equations, and • the Riquier-Janet method for partial differential equations. This volume contains invited and contributed papers to the Symbolic Rewriting Techniques workshop, which was held at the Centro Stefano Franscini in Ascona, Switzerland, from April 30 to May 4, 1995. That workshop brought together 40 researchers from various areas of rewriting techniques, the main goal being the investigation of common threads and methods. Following the workshops, each contribution was formally refereed and 14 papers were selected for publication.
Publisher: Birkhäuser
ISBN: 9783034888011
Category : Computers
Languages : en
Pages : 288
Book Description
Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: • the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, • the Buchberger algorithm for Gröbner bases, • the Ritt-Wu characteristic set method for ordinary differential equations, and • the Riquier-Janet method for partial differential equations. This volume contains invited and contributed papers to the Symbolic Rewriting Techniques workshop, which was held at the Centro Stefano Franscini in Ascona, Switzerland, from April 30 to May 4, 1995. That workshop brought together 40 researchers from various areas of rewriting techniques, the main goal being the investigation of common threads and methods. Following the workshops, each contribution was formally refereed and 14 papers were selected for publication.
Formal Aspects of Component Software
Author: José Proença
Publisher: Springer
ISBN: 331968034X
Category : Computers
Languages : en
Pages : 261
Book Description
This book constitutes the thoroughly revised selected papers from the 14th International Conference on Formal Aspects of Component Software, FACS 2017, held in Braga, Portugal, in October 2017. The 14 full papers presented were carefully reviewed and selected from 26 submissions. FACS 2016 is concerned with how formal methods can be used to make component-based and service-oriented software development succeed. Formal methods have provided a foundation for component-based software by successfully addressing challenging issues such as mathematical models for components, composition and adaptation, or rigorous approaches to verification, deployment, testing, and certification.
Publisher: Springer
ISBN: 331968034X
Category : Computers
Languages : en
Pages : 261
Book Description
This book constitutes the thoroughly revised selected papers from the 14th International Conference on Formal Aspects of Component Software, FACS 2017, held in Braga, Portugal, in October 2017. The 14 full papers presented were carefully reviewed and selected from 26 submissions. FACS 2016 is concerned with how formal methods can be used to make component-based and service-oriented software development succeed. Formal methods have provided a foundation for component-based software by successfully addressing challenging issues such as mathematical models for components, composition and adaptation, or rigorous approaches to verification, deployment, testing, and certification.
Formal Techniques for Networked and Distributed Systems - FORTE 2002
Author: Doron A. Peled
Publisher: Springer
ISBN: 3540361359
Category : Computers
Languages : en
Pages : 382
Book Description
The IFIP TC6 WG 6.1 Joint International Conference on Formal Techniques for Networked and Distributed Systems, FORTE 2002, was held this year at Rice University, Houston, Texas, on November 11–14. This annual conference provides a forum for researchers and practitioners from universities and industry to meet and advance technologies in areas of speci?cation, testing, and veri?cation of distributed systems and communication protocols. The main topics are: – FDT-based system and protocol engineering. – Semantical foundations. – Extensions of FDTs. – Formal approaches to concurrent/distributed object-oriented systems. – Real-time and probability aspects. – Performance modeling and analysis. – Quality of service modeling and analysis. – Veri?cation and validation. – Relations between informal and formal speci?cation. – FDT-based protocol implementation. – Software tools and support environments. – FDT application to distributed systems. – Protocol testing, including conformance testing, interoperability testing, and performance testing. – Test generation, selection, and coverage. – Practical experience and case studies. – Corporate strategic and ?nancial consequences of using formal methods. A total of 61 papers were submitted to FORTE 2002, and reviewed by m- bers of the program committee and additional reviewers. The program committee selected 22 regular papers, two tool papers, and two posters for presentation at the conference. The program also included three tutorials and ?ve invited talks.
Publisher: Springer
ISBN: 3540361359
Category : Computers
Languages : en
Pages : 382
Book Description
The IFIP TC6 WG 6.1 Joint International Conference on Formal Techniques for Networked and Distributed Systems, FORTE 2002, was held this year at Rice University, Houston, Texas, on November 11–14. This annual conference provides a forum for researchers and practitioners from universities and industry to meet and advance technologies in areas of speci?cation, testing, and veri?cation of distributed systems and communication protocols. The main topics are: – FDT-based system and protocol engineering. – Semantical foundations. – Extensions of FDTs. – Formal approaches to concurrent/distributed object-oriented systems. – Real-time and probability aspects. – Performance modeling and analysis. – Quality of service modeling and analysis. – Veri?cation and validation. – Relations between informal and formal speci?cation. – FDT-based protocol implementation. – Software tools and support environments. – FDT application to distributed systems. – Protocol testing, including conformance testing, interoperability testing, and performance testing. – Test generation, selection, and coverage. – Practical experience and case studies. – Corporate strategic and ?nancial consequences of using formal methods. A total of 61 papers were submitted to FORTE 2002, and reviewed by m- bers of the program committee and additional reviewers. The program committee selected 22 regular papers, two tool papers, and two posters for presentation at the conference. The program also included three tutorials and ?ve invited talks.
Symbolic Rewriting Techniques
Author: Manuel Bronstein
Publisher: Springer Science & Business Media
ISBN: 9783764359010
Category : Computers
Languages : en
Pages : 304
Book Description
Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: • the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, • the Buchberger algorithm for Gröbner bases, • the Ritt-Wu characteristic set method for ordinary differential equations, and • the Riquier-Janet method for partial differential equations. This volume contains invited and contributed papers to the Symbolic Rewriting Techniques workshop, which was held at the Centro Stefano Franscini in Ascona, Switzerland, from April 30 to May 4, 1995. That workshop brought together 40 researchers from various areas of rewriting techniques, the main goal being the investigation of common threads and methods. Following the workshops, each contribution was formally refereed and 14 papers were selected for publication.
Publisher: Springer Science & Business Media
ISBN: 9783764359010
Category : Computers
Languages : en
Pages : 304
Book Description
Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: • the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, • the Buchberger algorithm for Gröbner bases, • the Ritt-Wu characteristic set method for ordinary differential equations, and • the Riquier-Janet method for partial differential equations. This volume contains invited and contributed papers to the Symbolic Rewriting Techniques workshop, which was held at the Centro Stefano Franscini in Ascona, Switzerland, from April 30 to May 4, 1995. That workshop brought together 40 researchers from various areas of rewriting techniques, the main goal being the investigation of common threads and methods. Following the workshops, each contribution was formally refereed and 14 papers were selected for publication.
Automated Deduction - A Basis for Applications Volume I Foundations - Calculi and Methods Volume II Systems and Implementation Techniques Volume III Applications
Author: Wolfgang Bibel
Publisher: Springer Science & Business Media
ISBN: 940170435X
Category : Philosophy
Languages : en
Pages : 434
Book Description
1. BASIC CONCEPTS OF INTERACTIVE THEOREM PROVING Interactive Theorem Proving ultimately aims at the construction of powerful reasoning tools that let us (computer scientists) prove things we cannot prove without the tools, and the tools cannot prove without us. Interaction typi cally is needed, for example, to direct and control the reasoning, to speculate or generalize strategic lemmas, and sometimes simply because the conjec ture to be proved does not hold. In software verification, for example, correct versions of specifications and programs typically are obtained only after a number of failed proof attempts and subsequent error corrections. Different interactive theorem provers may actually look quite different: They may support different logics (first-or higher-order, logics of programs, type theory etc.), may be generic or special-purpose tools, or may be tar geted to different applications. Nevertheless, they share common concepts and paradigms (e.g. architectural design, tactics, tactical reasoning etc.). The aim of this chapter is to describe the common concepts, design principles, and basic requirements of interactive theorem provers, and to explore the band width of variations. Having a 'person in the loop', strongly influences the design of the proof tool: proofs must remain comprehensible, - proof rules must be high-level and human-oriented, - persistent proof presentation and visualization becomes very important.
Publisher: Springer Science & Business Media
ISBN: 940170435X
Category : Philosophy
Languages : en
Pages : 434
Book Description
1. BASIC CONCEPTS OF INTERACTIVE THEOREM PROVING Interactive Theorem Proving ultimately aims at the construction of powerful reasoning tools that let us (computer scientists) prove things we cannot prove without the tools, and the tools cannot prove without us. Interaction typi cally is needed, for example, to direct and control the reasoning, to speculate or generalize strategic lemmas, and sometimes simply because the conjec ture to be proved does not hold. In software verification, for example, correct versions of specifications and programs typically are obtained only after a number of failed proof attempts and subsequent error corrections. Different interactive theorem provers may actually look quite different: They may support different logics (first-or higher-order, logics of programs, type theory etc.), may be generic or special-purpose tools, or may be tar geted to different applications. Nevertheless, they share common concepts and paradigms (e.g. architectural design, tactics, tactical reasoning etc.). The aim of this chapter is to describe the common concepts, design principles, and basic requirements of interactive theorem provers, and to explore the band width of variations. Having a 'person in the loop', strongly influences the design of the proof tool: proofs must remain comprehensible, - proof rules must be high-level and human-oriented, - persistent proof presentation and visualization becomes very important.
Handbook of Automated Reasoning
Author: Alan J.A. Robinson
Publisher: Gulf Professional Publishing
ISBN: 9780444829498
Category : Computers
Languages : en
Pages : 1004
Book Description
Handbook of Automated Reasoning.
Publisher: Gulf Professional Publishing
ISBN: 9780444829498
Category : Computers
Languages : en
Pages : 1004
Book Description
Handbook of Automated Reasoning.
Algorithmic Problems in Groups and Semigroups
Author: Jean-Camille Birget
Publisher: Springer Science & Business Media
ISBN: 1461213886
Category : Mathematics
Languages : en
Pages : 312
Book Description
This volume contains papers which are based primarily on talks given at an inter national conference on Algorithmic Problems in Groups and Semigroups held at the University of Nebraska-Lincoln from May ll-May 16, 1998. The conference coincided with the Centennial Celebration of the Department of Mathematics and Statistics at the University of Nebraska-Lincoln on the occasion of the one hun dredth anniversary of the granting of the first Ph.D. by the department. Funding was provided by the US National Science Foundation, the Department of Math ematics and Statistics, and the College of Arts and Sciences at the University of Nebraska-Lincoln, through the College's focus program in Discrete, Experimental and Applied Mathematics. The purpose of the conference was to bring together researchers with interests in algorithmic problems in group theory, semigroup theory and computer science. A particularly useful feature of this conference was that it provided a framework for exchange of ideas between the research communities in semigroup theory and group theory, and several of the papers collected here reflect this interac tion of ideas. The papers collected in this volume represent a cross section of some of the results and ideas that were discussed in the conference. They reflect a synthesis of overlapping ideas and techniques stimulated by problems concerning finite monoids, finitely presented mono ids, finitely presented groups and free groups.
Publisher: Springer Science & Business Media
ISBN: 1461213886
Category : Mathematics
Languages : en
Pages : 312
Book Description
This volume contains papers which are based primarily on talks given at an inter national conference on Algorithmic Problems in Groups and Semigroups held at the University of Nebraska-Lincoln from May ll-May 16, 1998. The conference coincided with the Centennial Celebration of the Department of Mathematics and Statistics at the University of Nebraska-Lincoln on the occasion of the one hun dredth anniversary of the granting of the first Ph.D. by the department. Funding was provided by the US National Science Foundation, the Department of Math ematics and Statistics, and the College of Arts and Sciences at the University of Nebraska-Lincoln, through the College's focus program in Discrete, Experimental and Applied Mathematics. The purpose of the conference was to bring together researchers with interests in algorithmic problems in group theory, semigroup theory and computer science. A particularly useful feature of this conference was that it provided a framework for exchange of ideas between the research communities in semigroup theory and group theory, and several of the papers collected here reflect this interac tion of ideas. The papers collected in this volume represent a cross section of some of the results and ideas that were discussed in the conference. They reflect a synthesis of overlapping ideas and techniques stimulated by problems concerning finite monoids, finitely presented mono ids, finitely presented groups and free groups.