Martin Davis on Computability, Computational Logic, and Mathematical Foundations

Martin Davis on Computability, Computational Logic, and Mathematical Foundations

Author: Eugenio G. Omodeo

Publisher: Springer

Published: 2017-01-27

Total Pages: 438

ISBN-13: 3319418424

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This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.


Book Synopsis Martin Davis on Computability, Computational Logic, and Mathematical Foundations by : Eugenio G. Omodeo

Download or read book Martin Davis on Computability, Computational Logic, and Mathematical Foundations written by Eugenio G. Omodeo and published by Springer. This book was released on 2017-01-27 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability. The individual contributions touch on most of the core aspects of Davis’ work and set it in a contemporary context. They analyse, discuss and develop many of the ideas and concepts that Davis put forward, including such issues as contemporary satisfiability solvers, essential unification, quantum computing and generalisations of Hilbert’s tenth problem. The book starts out with a scientific autobiography by Davis, and ends with his responses to comments included in the contributions. In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’ work. As a whole, this book shows how Davis’ scientific work lies at the intersection of computability, theoretical computer science, foundations of mathematics, and philosophy, and draws its unifying vision from his deep involvement in Logic.

Computability, Complexity, and Languages

Computability, Complexity, and Languages

Author: Martin Davis

Publisher: Elsevier

Published: 1994-03-18

Total Pages: 631

ISBN-13: 0080502466

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Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. The number of exercises included has more than tripled. Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements.


Book Synopsis Computability, Complexity, and Languages by : Martin Davis

Download or read book Computability, Complexity, and Languages written by Martin Davis and published by Elsevier. This book was released on 1994-03-18 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability. Computability theory is introduced in a manner that makes maximum use of previous programming experience, including a "universal" program that takes up less than a page. The number of exercises included has more than tripled. Automata theory, computational logic, and complexity theory are presented in a flexible manner, and can be covered in a variety of different arrangements.

Computability & Unsolvability

Computability & Unsolvability

Author: Martin Davis

Publisher: Courier Corporation

Published: 1982-01-01

Total Pages: 292

ISBN-13: 0486614719

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Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more.


Book Synopsis Computability & Unsolvability by : Martin Davis

Download or read book Computability & Unsolvability written by Martin Davis and published by Courier Corporation. This book was released on 1982-01-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more.

The Universal Computer

The Universal Computer

Author: Martin Davis

Publisher: CRC Press

Published: 2018-10-08

Total Pages: 232

ISBN-13: 1466505206

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The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. Written by Martin Davis, respected logician and researcher in the theory of computation, The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians. The story begins with Leibniz in the 17th century and then focuses on Boole, Frege, Cantor, Hilbert, and Gödel, before turning to Turing. Turing’s analysis of algorithmic processes led to a single, all-purpose machine that could be programmed to carry out such processes—the computer. Davis describes how this incredible group, with lives as extraordinary as their accomplishments, grappled with logical reasoning and its mechanization. By investigating their achievements and failures, he shows how these pioneers paved the way for modern computing. Bringing the material up to date, in this revised edition Davis discusses the success of the IBM Watson on Jeopardy, reorganizes the information on incompleteness, and adds information on Konrad Zuse. A distinguished prize-winning logician, Martin Davis has had a career of more than six decades devoted to the important interface between logic and computer science. His expertise, combined with his genuine love of the subject and excellent storytelling, make him the perfect person to tell this story.


Book Synopsis The Universal Computer by : Martin Davis

Download or read book The Universal Computer written by Martin Davis and published by CRC Press. This book was released on 2018-10-08 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. Written by Martin Davis, respected logician and researcher in the theory of computation, The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians. The story begins with Leibniz in the 17th century and then focuses on Boole, Frege, Cantor, Hilbert, and Gödel, before turning to Turing. Turing’s analysis of algorithmic processes led to a single, all-purpose machine that could be programmed to carry out such processes—the computer. Davis describes how this incredible group, with lives as extraordinary as their accomplishments, grappled with logical reasoning and its mechanization. By investigating their achievements and failures, he shows how these pioneers paved the way for modern computing. Bringing the material up to date, in this revised edition Davis discusses the success of the IBM Watson on Jeopardy, reorganizes the information on incompleteness, and adds information on Konrad Zuse. A distinguished prize-winning logician, Martin Davis has had a career of more than six decades devoted to the important interface between logic and computer science. His expertise, combined with his genuine love of the subject and excellent storytelling, make him the perfect person to tell this story.

Computability & Unsolvability

Computability & Unsolvability

Author: Martin Davis

Publisher:

Published: 1958

Total Pages: 248

ISBN-13:

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Book Synopsis Computability & Unsolvability by : Martin Davis

Download or read book Computability & Unsolvability written by Martin Davis and published by . This book was released on 1958 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Universal Computer

The Universal Computer

Author: Martin Davis

Publisher: CRC Press

Published: 2018-02-28

Total Pages: 222

ISBN-13: 1351384821

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The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians.


Book Synopsis The Universal Computer by : Martin Davis

Download or read book The Universal Computer written by Martin Davis and published by CRC Press. This book was released on 2018-02-28 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The breathtakingly rapid pace of change in computing makes it easy to overlook the pioneers who began it all. The Universal Computer: The Road from Leibniz to Turing explores the fascinating lives, ideas, and discoveries of seven remarkable mathematicians. It tells the stories of the unsung heroes of the computer age – the logicians.

Fields of Logic and Computation III

Fields of Logic and Computation III

Author: Andreas Blass

Publisher: Springer Nature

Published: 2020-05-22

Total Pages: 349

ISBN-13: 3030480062

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This Festschrift is published in honor of Yuri Gurevich’s 80th birthday. An associated conference, YuriFest 2020, was planned for May 18–20 in Fontainebleau, France, in combination with the 39th Journées sur les Arithmétiques Faibles also celebrating Yuri’s 80th birthday. Because of the coronavirus situation, the conference had to be postponed, but this Festschrift is being published as originally planned. It addresses a very wide variety of topics, but by no means all of the fields of logic and computation in which Yuri has made important progress.


Book Synopsis Fields of Logic and Computation III by : Andreas Blass

Download or read book Fields of Logic and Computation III written by Andreas Blass and published by Springer Nature. This book was released on 2020-05-22 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is published in honor of Yuri Gurevich’s 80th birthday. An associated conference, YuriFest 2020, was planned for May 18–20 in Fontainebleau, France, in combination with the 39th Journées sur les Arithmétiques Faibles also celebrating Yuri’s 80th birthday. Because of the coronavirus situation, the conference had to be postponed, but this Festschrift is being published as originally planned. It addresses a very wide variety of topics, but by no means all of the fields of logic and computation in which Yuri has made important progress.

The Software Arts

The Software Arts

Author: Warren Sack

Publisher: MIT Press

Published: 2019-04-09

Total Pages: 401

ISBN-13: 0262039702

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An alternative history of software that places the liberal arts at the very center of software's evolution. In The Software Arts, Warren Sack offers an alternative history of computing that places the arts at the very center of software's evolution. Tracing the origins of software to eighteenth-century French encyclopedists' step-by-step descriptions of how things were made in the workshops of artists and artisans, Sack shows that programming languages are the offspring of an effort to describe the mechanical arts in the language of the liberal arts. Sack offers a reading of the texts of computing—code, algorithms, and technical papers—that emphasizes continuity between prose and programs. He translates concepts and categories from the liberal and mechanical arts—including logic, rhetoric, grammar, learning, algorithm, language, and simulation—into terms of computer science and then considers their further translation into popular culture, where they circulate as forms of digital life. He considers, among other topics, the “arithmetization” of knowledge that presaged digitization; today's multitude of logics; the history of demonstration, from deduction to newer forms of persuasion; and the post-Chomsky absence of meaning in grammar. With The Software Arts, Sack invites artists and humanists to see how their ideas are at the root of software and invites computer scientists to envision themselves as artists and humanists.


Book Synopsis The Software Arts by : Warren Sack

Download or read book The Software Arts written by Warren Sack and published by MIT Press. This book was released on 2019-04-09 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: An alternative history of software that places the liberal arts at the very center of software's evolution. In The Software Arts, Warren Sack offers an alternative history of computing that places the arts at the very center of software's evolution. Tracing the origins of software to eighteenth-century French encyclopedists' step-by-step descriptions of how things were made in the workshops of artists and artisans, Sack shows that programming languages are the offspring of an effort to describe the mechanical arts in the language of the liberal arts. Sack offers a reading of the texts of computing—code, algorithms, and technical papers—that emphasizes continuity between prose and programs. He translates concepts and categories from the liberal and mechanical arts—including logic, rhetoric, grammar, learning, algorithm, language, and simulation—into terms of computer science and then considers their further translation into popular culture, where they circulate as forms of digital life. He considers, among other topics, the “arithmetization” of knowledge that presaged digitization; today's multitude of logics; the history of demonstration, from deduction to newer forms of persuasion; and the post-Chomsky absence of meaning in grammar. With The Software Arts, Sack invites artists and humanists to see how their ideas are at the root of software and invites computer scientists to envision themselves as artists and humanists.

Sailing Routes in the World of Computation

Sailing Routes in the World of Computation

Author: Florin Manea

Publisher: Springer

Published: 2018-07-23

Total Pages: 434

ISBN-13: 3319944185

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This book constitutes the refereed proceedings of the 14th Conference on Computability in Europe, CiE 2018, held in Kiel, Germany, in July/ August 2017. The 26 revised full papers were carefully reviewed and selected from 55 submissions. In addition, this volume includes 15 invited papers. The conference CiE 2018 has six special sessions, namely: Approximation and optimization, Bioinformatics and bio-inspired computing, computing with imperfect information, continuous computation, history and philosophy of computing (celebrating the 80th birthday of Martin Davis), and SAT-solving.


Book Synopsis Sailing Routes in the World of Computation by : Florin Manea

Download or read book Sailing Routes in the World of Computation written by Florin Manea and published by Springer. This book was released on 2018-07-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th Conference on Computability in Europe, CiE 2018, held in Kiel, Germany, in July/ August 2017. The 26 revised full papers were carefully reviewed and selected from 55 submissions. In addition, this volume includes 15 invited papers. The conference CiE 2018 has six special sessions, namely: Approximation and optimization, Bioinformatics and bio-inspired computing, computing with imperfect information, continuous computation, history and philosophy of computing (celebrating the 80th birthday of Martin Davis), and SAT-solving.

Engaging Putnam

Engaging Putnam

Author: James Conant

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2022-07-18

Total Pages: 415

ISBN-13: 3110769344

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Hilary Whitehall Putnam was one of the leading philosophers of the second half of the 20th century. As student of Rudolph Carnap's and Hans Reichenbach's, he went on to become not only a major figure in North American analytic philosophy, who made significant contributions to the philosophy of mind, language, mathematics, and physics but also to the disciplines of logic, number theory, and computer science. He passed away on March 13, 2016. The present volume is a memorial to his extraordinary intellectual contributions, honoring his contributions as a philosopher, a thinker, and a public intellectual. It features essays by an international team of leading philosophers, covering all aspects of Hilary Putnam's philosophy from his work in ethics and the history of philosophy to his contributions to the philosophy of science, logic, and mathematics. Each essay is an original contribution. “Hilary Putnam is one of the most distinguished philosophers of the modern era, and just speaking personally, one of the smartest and most impressive thinkers I have ever been privileged to know—as a good friend for 70 years. The fine essays collected here are a fitting tribute to a most remarkable figure.” Noam Chomsky, Institute Professor Emeritus, Massachusetts Institute of Technology “In Engaging Putnam excellent philosophers engage the writings and ideas of Hilary Putnam, one of the most productive and influential philosophers of the last century. Putnam stands out because of the combination of brilliance and a firm grasp of reality he brought to a very broad range of issues: the logic and the philosophy of mathematics, free-will, skepticism, realism, internalism and externalism and a lot more. Along with this he offered penetrating insights about other great philosophers, from Aristotle to Wittgenstein. All great philosophers make us think. With many, we try to figure out the strange things they say. With Putnam, we are made to think about clearly explained examples and arguments that get to the heart of the issues he confronts. This book is a wonderful contribution to the continuation of Putnam-inspired thinking.” John Perry, Emeritus Professor of Philosophy, Stanford University


Book Synopsis Engaging Putnam by : James Conant

Download or read book Engaging Putnam written by James Conant and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-07-18 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilary Whitehall Putnam was one of the leading philosophers of the second half of the 20th century. As student of Rudolph Carnap's and Hans Reichenbach's, he went on to become not only a major figure in North American analytic philosophy, who made significant contributions to the philosophy of mind, language, mathematics, and physics but also to the disciplines of logic, number theory, and computer science. He passed away on March 13, 2016. The present volume is a memorial to his extraordinary intellectual contributions, honoring his contributions as a philosopher, a thinker, and a public intellectual. It features essays by an international team of leading philosophers, covering all aspects of Hilary Putnam's philosophy from his work in ethics and the history of philosophy to his contributions to the philosophy of science, logic, and mathematics. Each essay is an original contribution. “Hilary Putnam is one of the most distinguished philosophers of the modern era, and just speaking personally, one of the smartest and most impressive thinkers I have ever been privileged to know—as a good friend for 70 years. The fine essays collected here are a fitting tribute to a most remarkable figure.” Noam Chomsky, Institute Professor Emeritus, Massachusetts Institute of Technology “In Engaging Putnam excellent philosophers engage the writings and ideas of Hilary Putnam, one of the most productive and influential philosophers of the last century. Putnam stands out because of the combination of brilliance and a firm grasp of reality he brought to a very broad range of issues: the logic and the philosophy of mathematics, free-will, skepticism, realism, internalism and externalism and a lot more. Along with this he offered penetrating insights about other great philosophers, from Aristotle to Wittgenstein. All great philosophers make us think. With many, we try to figure out the strange things they say. With Putnam, we are made to think about clearly explained examples and arguments that get to the heart of the issues he confronts. This book is a wonderful contribution to the continuation of Putnam-inspired thinking.” John Perry, Emeritus Professor of Philosophy, Stanford University