Metamath: A Computer Language for Mathematical Proofs

Metamath: A Computer Language for Mathematical Proofs

Author: Norman Megill

Publisher: Lulu.com

Published: 2019-06-06

Total Pages: 250

ISBN-13: 0359702236

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Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple and robust, with an almost total absence of hard-wired syntax, and we believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. While simple, it is also powerful; the Metamath Proof Explorer (MPE) database has over 23,000 proven theorems and is one of the top systems in the "Formalizing 100 Theorems" challenge. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database.


Book Synopsis Metamath: A Computer Language for Mathematical Proofs by : Norman Megill

Download or read book Metamath: A Computer Language for Mathematical Proofs written by Norman Megill and published by Lulu.com. This book was released on 2019-06-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple and robust, with an almost total absence of hard-wired syntax, and we believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. While simple, it is also powerful; the Metamath Proof Explorer (MPE) database has over 23,000 proven theorems and is one of the top systems in the "Formalizing 100 Theorems" challenge. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database.

Metamath

Metamath

Author: Norman Megill

Publisher:

Published: 2005-07

Total Pages: 207

ISBN-13: 9781411637245

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Metamath is a tiny computer language that can express theorems in abstract mathematics, accompanied by proofs that can be verified by a computer program. The first part of the book provides easy-to-read informal discussion of abstract mathematics and computers for general audiences. The later parts provide in-depth coverage of the foundations of mathematics, the Metamath language, and the Metamath program. More information can be found at the metamath.org web site. (Note: the Preview is an on-line copy of the entire book so that you can see exactly what you'll be buying.)


Book Synopsis Metamath by : Norman Megill

Download or read book Metamath written by Norman Megill and published by . This book was released on 2005-07 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metamath is a tiny computer language that can express theorems in abstract mathematics, accompanied by proofs that can be verified by a computer program. The first part of the book provides easy-to-read informal discussion of abstract mathematics and computers for general audiences. The later parts provide in-depth coverage of the foundations of mathematics, the Metamath language, and the Metamath program. More information can be found at the metamath.org web site. (Note: the Preview is an on-line copy of the entire book so that you can see exactly what you'll be buying.)

Metamathematics, Machines and Gödel's Proof

Metamathematics, Machines and Gödel's Proof

Author: N. Shankar

Publisher: Cambridge University Press

Published: 1997-01-30

Total Pages: 224

ISBN-13: 9780521585330

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


Book Synopsis Metamathematics, Machines and Gödel's Proof by : N. Shankar

Download or read book Metamathematics, Machines and Gödel's Proof written by N. Shankar and published by Cambridge University Press. This book was released on 1997-01-30 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the use of computer programs to check several proofs in the foundations of mathematics.

Intelligent Computer Mathematics

Intelligent Computer Mathematics

Author: Fairouz Kamareddine

Publisher: Springer Nature

Published: 2021-07-20

Total Pages: 263

ISBN-13: 3030810976

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This book constitutes the refereed proceedings of the 14th International Conference on Intelligent Computer Mathematics, CICM 2021, held in Timisoara, Romania, in July 2021*. The 12 full papers, 7 system descriptions, 1 system entry, and 3 abstracts of invited papers presented were carefully reviewed and selected from a total of 38 submissions. The papers focus on advances in formalization, automatic theorem proving and learning, search and classification, teaching and geometric reasoning, and logic and systems, among other topics. * The conference was held virtually due to the COVID-19 pandemic.


Book Synopsis Intelligent Computer Mathematics by : Fairouz Kamareddine

Download or read book Intelligent Computer Mathematics written by Fairouz Kamareddine and published by Springer Nature. This book was released on 2021-07-20 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Intelligent Computer Mathematics, CICM 2021, held in Timisoara, Romania, in July 2021*. The 12 full papers, 7 system descriptions, 1 system entry, and 3 abstracts of invited papers presented were carefully reviewed and selected from a total of 38 submissions. The papers focus on advances in formalization, automatic theorem proving and learning, search and classification, teaching and geometric reasoning, and logic and systems, among other topics. * The conference was held virtually due to the COVID-19 pandemic.

Meta Math!

Meta Math!

Author: Gregory Chaitin

Publisher: Vintage

Published: 2006-11-14

Total Pages: 242

ISBN-13: 1400077974

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Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory. Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.


Book Synopsis Meta Math! by : Gregory Chaitin

Download or read book Meta Math! written by Gregory Chaitin and published by Vintage. This book was released on 2006-11-14 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory. Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math.

Intelligent Computer Mathematics

Intelligent Computer Mathematics

Author: Christoph Benzmüller

Publisher: Springer Nature

Published: 2020-07-17

Total Pages: 337

ISBN-13: 3030535185

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This book constitutes the refereed proceedings of the 13th International Conference on Intelligent Computer Mathematics, CICM 2020, held in Bertinoro, Italy, in July 2020*. The 15 full papers, 1 invited paper and 2 abstracts of invited papers presented were carefully reviewed and selected from a total of 35 submissions. The papers focus on advances in automated theorem provers and formalization, computer algebra systems and their libraries, and applications of machine learning, among other topics. * The conference was held virtually due to the COVID-19 pandemic.


Book Synopsis Intelligent Computer Mathematics by : Christoph Benzmüller

Download or read book Intelligent Computer Mathematics written by Christoph Benzmüller and published by Springer Nature. This book was released on 2020-07-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Intelligent Computer Mathematics, CICM 2020, held in Bertinoro, Italy, in July 2020*. The 15 full papers, 1 invited paper and 2 abstracts of invited papers presented were carefully reviewed and selected from a total of 35 submissions. The papers focus on advances in automated theorem provers and formalization, computer algebra systems and their libraries, and applications of machine learning, among other topics. * The conference was held virtually due to the COVID-19 pandemic.

Computer Aided Verification

Computer Aided Verification

Author: Alexandra Silva

Publisher: Springer Nature

Published: 2021-07-16

Total Pages: 940

ISBN-13: 3030816885

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This open access two-volume set LNCS 12759 and 12760 constitutes the refereed proceedings of the 33rd International Conference on Computer Aided Verification, CAV 2021, held virtually in July 2021. The 63 full papers presented together with 16 tool papers and 5 invited papers were carefully reviewed and selected from 290 submissions. The papers were organized in the following topical sections: Part I: invited papers; AI verification; concurrency and blockchain; hybrid and cyber-physical systems; security; and synthesis. Part II: complexity and termination; decision procedures and solvers; hardware and model checking; logical foundations; and software verification.


Book Synopsis Computer Aided Verification by : Alexandra Silva

Download or read book Computer Aided Verification written by Alexandra Silva and published by Springer Nature. This book was released on 2021-07-16 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access two-volume set LNCS 12759 and 12760 constitutes the refereed proceedings of the 33rd International Conference on Computer Aided Verification, CAV 2021, held virtually in July 2021. The 63 full papers presented together with 16 tool papers and 5 invited papers were carefully reviewed and selected from 290 submissions. The papers were organized in the following topical sections: Part I: invited papers; AI verification; concurrency and blockchain; hybrid and cyber-physical systems; security; and synthesis. Part II: complexity and termination; decision procedures and solvers; hardware and model checking; logical foundations; and software verification.

Theoretical Aspects of Computing – ICTAC 2023

Theoretical Aspects of Computing – ICTAC 2023

Author: Erika Ábrahám

Publisher: Springer Nature

Published: 2023-12-24

Total Pages: 451

ISBN-13: 3031479637

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This book constitutes the proceedings of the 20th International Colloquium on Theoretical Aspects of Computing, ICTAC 2023, which took place in Lima, Peru, during December 4–8, 2023. The 20 full papers presented in this volume together with 3 invited papers and 1 tool paper were carefully reviewed and selected from 40 submissions. They were organised in the topical sections as follows: Bring Together Practitioners; Researchers from Academia; Industry; Government to Present Research Results and Exchange Experience and Ideas.


Book Synopsis Theoretical Aspects of Computing – ICTAC 2023 by : Erika Ábrahám

Download or read book Theoretical Aspects of Computing – ICTAC 2023 written by Erika Ábrahám and published by Springer Nature. This book was released on 2023-12-24 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Colloquium on Theoretical Aspects of Computing, ICTAC 2023, which took place in Lima, Peru, during December 4–8, 2023. The 20 full papers presented in this volume together with 3 invited papers and 1 tool paper were carefully reviewed and selected from 40 submissions. They were organised in the topical sections as follows: Bring Together Practitioners; Researchers from Academia; Industry; Government to Present Research Results and Exchange Experience and Ideas.

Computer Assisted Proof

Computer Assisted Proof

Author: Fouad Sabry

Publisher: One Billion Knowledgeable

Published: 2023-07-06

Total Pages: 111

ISBN-13:

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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.


Book Synopsis Computer Assisted Proof by : Fouad Sabry

Download or read book Computer Assisted Proof written by Fouad Sabry and published by One Billion Knowledgeable. This book was released on 2023-07-06 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in Computer Games

Advances in Computer Games

Author: Michael Hartisch

Publisher: Springer Nature

Published: 2024

Total Pages: 176

ISBN-13: 3031549686

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This book constitutes the refereed post proceedings of the 18th International Conference on Advances in Computer Games, ACG 2023, held online, during November 28–30, 2023. The 14 full papers included in this book were carefully reviewed and selected from 29 submissions. They were organized in topical sections as follows: Chess and its Variants, Solving Games, Board Games, Card Games, Player Investigation, Math, Games, and Puzzles.


Book Synopsis Advances in Computer Games by : Michael Hartisch

Download or read book Advances in Computer Games written by Michael Hartisch and published by Springer Nature. This book was released on 2024 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post proceedings of the 18th International Conference on Advances in Computer Games, ACG 2023, held online, during November 28–30, 2023. The 14 full papers included in this book were carefully reviewed and selected from 29 submissions. They were organized in topical sections as follows: Chess and its Variants, Solving Games, Board Games, Card Games, Player Investigation, Math, Games, and Puzzles.