Computer-assisted Proofs in Analysis and Programming in Logic PDF Download
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Author: Hans Koch
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
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Book Description
Author: Hans Koch
Publisher:
ISBN:
Category :
Languages : en
Pages : 49
Get Book Here
Book Description
Author: Fouad Sabry
Publisher: One Billion Knowledgeable
ISBN:
Category : Computers
Languages : en
Pages : 111
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Book Description
What Is Computer Assisted Proof A mathematical proof is considered to be computer-assisted if it has been generated by the computer in some way, even if just in part. How You Will Benefit (I) Insights, and validations about the following topics: Chapter 1: Computer-assisted proof Chapter 2: Mathematical proof Chapter 3: Theorem Chapter 4: Metamath Chapter 5: Model checking Chapter 6: Computer algebra Chapter 7: Formal verification Chapter 8: Validated numerics Chapter 9: Logic Theorist Chapter 10: Seventeen or Bust (II) Answering the public top questions about computer assisted proof. (III) Real world examples for the usage of computer assisted proof in many fields. (IV) 17 appendices to explain, briefly, 266 emerging technologies in each industry to have 360-degree full understanding of computer assisted proof' technologies. Who This Book Is For Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of computer assisted proof.
Author: Konstantine Arkoudas
Publisher: MIT Press
ISBN: 0262342502
Category : Computers
Languages : en
Pages : 1223
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Book Description
A textbook that teaches students to read and write proofs using Athena. Proof is the primary vehicle for knowledge generation in mathematics. In computer science, proof has found an additional use: verifying that a particular system (or component, or algorithm) has certain desirable properties. This book teaches students how to read and write proofs using Athena, a freely downloadable computer language. Athena proofs are machine-checkable and written in an intuitive natural-deduction style. The book contains more than 300 exercises, most with full solutions. By putting proofs into practice, it demonstrates the fundamental role of logic and proof in computer science as no other existing text does. Guided by examples and exercises, students are quickly immersed in the most useful high-level proof methods, including equational reasoning, several forms of induction, case analysis, proof by contradiction, and abstraction/specialization. The book includes auxiliary material on SAT and SMT solving, automated theorem proving, and logic programming. The book can be used by upper undergraduate or graduate computer science students with a basic level of programming and mathematical experience. Professional programmers, practitioners of formal methods, and researchers in logic-related branches of computer science will find it a valuable reference.
Author: Kenneth R Meyer
Publisher:
ISBN: 9781461390930
Category :
Languages : en
Pages : 272
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Book Description
Author: Konstantine Arkoudas
Publisher: MIT Press
ISBN: 0262035537
Category : Computers
Languages : en
Pages : 1223
Get Book Here
Book Description
A textbook that teaches students to read and write proofs using Athena. Proof is the primary vehicle for knowledge generation in mathematics. In computer science, proof has found an additional use: verifying that a particular system (or component, or algorithm) has certain desirable properties. This book teaches students how to read and write proofs using Athena, a freely downloadable computer language. Athena proofs are machine-checkable and written in an intuitive natural-deduction style. The book contains more than 300 exercises, most with full solutions. By putting proofs into practice, it demonstrates the fundamental role of logic and proof in computer science as no other existing text does. Guided by examples and exercises, students are quickly immersed in the most useful high-level proof methods, including equational reasoning, several forms of induction, case analysis, proof by contradiction, and abstraction/specialization. The book includes auxiliary material on SAT and SMT solving, automated theorem proving, and logic programming. The book can be used by upper undergraduate or graduate computer science students with a basic level of programming and mathematical experience. Professional programmers, practitioners of formal methods, and researchers in logic-related branches of computer science will find it a valuable reference.
Author: Kenneth R. Meyer
Publisher: Springer Science & Business Media
ISBN: 1461390923
Category : Mathematics
Languages : en
Pages : 264
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Book Description
This IMA Volume in Mathematics and its Applications COMPUTER AIDED PROOFS IN ANALYSIS is based on the proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989. Each year the 19 Participating Institutions select, through a competitive process, several conferences proposals from the PIs, for partial funding. This conference brought together leading figures in a number of fields who were interested in finding exact answers to problems in analysis through computer methods. We thank Kenneth Meyer and Dieter Schmidt for organizing the meeting and editing the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Since the dawn of the computer revolution the vast majority of scientific compu tation has dealt with finding approximate solutions of equations. However, during this time there has been a small cadre seeking precise solutions of equations and rigorous proofs of mathematical results. For example, number theory and combina torics have a long history of computer-assisted proofs; such methods are now well established in these fields. In analysis the use of computers to obtain exact results has been fragmented into several schools.
Author: Daniel Benest
Publisher: CRC Press
ISBN: 9789056996253
Category : Computers
Languages : en
Pages : 334
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Book Description
The theory of dynamical systems, or mappings, plays an important role in various disciplines of modern physics, including celestial mechanics and fluid mechanics. This comprehensive introduction to the general study of mappings has particular emphasis on their applications to the dynamics of the solar system. The book forms a bridge between continuous systems, which are suited to analytical developments and to discrete systems, which are suitable for numerical exploration. Featuring chapters based on lectures delivered at the School on Discrete Dynamical Systems (Aussois, France, February 1996) the book contains three parts - Numerical Tools and Modelling, Analytical Methods, and Examples of Application. It provides a single source of information that, until now, has been available only in widely dispersed journal articles.
Author: Angelo Vulpiani
Publisher: Springer Science & Business Media
ISBN: 9783540203070
Category : Science
Languages : en
Pages : 268
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Book Description
The present volume, published at the occasion of his 100th birthday anniversary, is a collection of articles that reviews the impact of Kolomogorov's work in the physical sciences and provides an introduction to the modern developments that have been triggered in this way to encompass recent applications in biology, chemistry, information sciences and finance.
Author: Àlex Haro
Publisher: Springer
ISBN: 3319296620
Category : Mathematics
Languages : en
Pages : 280
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Book Description
This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.
Author: Rafael De La Llave
Publisher: World Scientific
ISBN: 9812777873
Category : Science
Languages : en
Pages : 270
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Book Description
The aim of this journal is to publish papers in mathematical physics and related areas that are of the highest quality. Research papers and review articles are selected through the normal refereeing process, overseen by an editorial board. The research su.
