Computer Assisted Proof

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Computer Assisted Proof

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Author : Fouad Sabry
language : en
Publisher: One Billion Knowledgeable
Release Date : 2023-07-06

Computer Assisted Proof written by Fouad Sabry and has been published by One Billion Knowledgeable this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-06 with Computers categories.

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.

Computer Aided Proofs In Analysis

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Author : Kenneth R. Meyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computer Aided Proofs In Analysis written by Kenneth R. Meyer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Computer Assisted Proof For Mathematics

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Author : Rod M. Burstall
language : en
Publisher:
Release Date : 1991

Computer Assisted Proof For Mathematics written by Rod M. Burstall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Automatic theorem proving categories.

Abstract: "We give brief account of the use of computers to help us develop mathematical proofs, acting as a clerical assistant with knowledge of logical rules. The paper then focusses on one such system, Pollack's LEGO, based on the Calculus of Constructions, and it shows how this may be used to define mathematical concepts and express proofs. We aim at a gentle introduction, rather than a technical exposition."

Metamathematics Machines And G Del S Proof

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Author : N. Shankar
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-30

Metamathematics Machines And G Del S Proof written by N. Shankar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-30 with Computers categories.

Describes the use of computer programs to check several proofs in the foundations of mathematics.

Foundations Of Mathematical And Computational Economics

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Author : Kamran Dadkhah
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-11

Foundations Of Mathematical And Computational Economics written by Kamran Dadkhah and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-11 with Business & Economics categories.

This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners. The reader is introduced to the basics of numerical analysis as well as the use of computer programs such as Matlab and Excel in carrying out involved computations. Sections are devoted to the use of Maple in mathematical analysis. Examples drawn from recent contributions to economic theory and econometrics as well as a variety of end of chapter exercises help to illustrate and apply the presented concepts.

Computer Aided Proofs In Analysis

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Author : Kenneth R Meyer
language : en
Publisher:
Release Date : 1990-12-05

Computer Aided Proofs In Analysis written by Kenneth R Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-05 with categories.

The Kepler Conjecture

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Author : Jeffrey C. Lagarias
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-09

The Kepler Conjecture written by Jeffrey C. Lagarias and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-09 with Mathematics categories.

The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing of three-dimensional Euclidean space by equal spheres is attained by the “cannonball" packing. In a landmark result, this was proved by Thomas C. Hales and Samuel P. Ferguson, using an analytic argument completed with extensive use of computers. This book centers around six papers, presenting the detailed proof of the Kepler conjecture given by Hales and Ferguson, published in 2006 in a special issue of Discrete & Computational Geometry. Further supporting material is also presented: a follow-up paper of Hales et al (2010) revising the proof, and describing progress towards a formal proof of the Kepler conjecture. For historical reasons, this book also includes two early papers of Hales that indicate his original approach to the conjecture. The editor's two introductory chapters situate the conjecture in a broader historical and mathematical context. These chapters provide a valuable perspective and are a key feature of this work.

Perspectives On Enclosure Methods

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Author : Ulrich Kulisch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Perspectives On Enclosure Methods written by Ulrich Kulisch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Enclosure methods and their applications have been developed to a high standard during the last decades. These methods guarantee the validity of the computed results. This means they are of the same standard as the rest of mathematics. The book deals with a wide variety of aspects of enclosure methods. All contributions follow the common goal to push the limits of enclosure methods forward. Topics that are treated include basic questions of arithmetic, proving conjectures, bounds for Krylow type linear system solvers, bounds for eigenvalues, the wrapping effect, algorithmic differencing, differential equations, finite element methods, application in robotics, and nonsmooth global optimization.

Formal Description Techniques Ix

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Author : R. Gotzhein
language : en
Publisher: Springer
Release Date : 2016-01-09

Formal Description Techniques Ix written by R. Gotzhein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-09 with Technology & Engineering categories.

This book is the combined proceedings of the latest IFIP Formal Description Techniques (FDTs) and Protocol Specification, Testing and Verification (PSTV) series. It addresses FDTs applicable to communication protocols and distributed systems, with special emphasis on standardised FDTs. It features state-of-the-art in theory, application, tools and industrialisation of formal description.

Proof Logic And Formalization

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Author : Michael Detlefsen
language : en
Publisher: Routledge
Release Date : 2005-07-08

Proof Logic And Formalization written by Michael Detlefsen and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-08 with Mathematics categories.

A collection of essays from distinguished contributors looking at why it is that mathematical proof is given precedence over other forms of mathematical justification.