Martin Davis on Computability, Computational Logic, and Mathematical Foundations
Editors: Omodeo, Eugenio G., Policriti, Alberto (Eds.)
Free Preview- Is devoted entirely to Martin Davis, an eminent logician
- Collects testimonials on Davis’ significant contributions to the field of logic
- Testifies to the far-reaching influence of Davis’ work and vision
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- About this book
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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 In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’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.
- Reviews
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“It is welcome indeed to have the book under review on my desk and in my possession, particularly given that it’s something of a Festschrift, sporting all sorts of goodies. … To real logicians or even to folks like me … this is a wonderful book to have.” (Michael Berg, MAA Reviews, January 2018)
- Table of contents (16 chapters)
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My Life as a Logician
Pages 1-33
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Martin Davis and Hilbert’s Tenth Problem
Pages 35-54
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Extensions of Hilbert’s Tenth Problem: Definability and Decidability in Number Theory
Pages 55-92
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A Story of Hilbert’s Tenth Problem
Pages 93-105
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Hyperarithmetical Sets
Pages 107-149
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Table of contents (16 chapters)
- Download Preface 1 PDF (496 KB)
- Download Sample pages 2 PDF (283.2 KB)
- Download Table of contents PDF (60.2 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Martin Davis on Computability, Computational Logic, and Mathematical Foundations
- Editors
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- Eugenio G. Omodeo
- Alberto Policriti
- Series Title
- Outstanding Contributions to Logic
- Series Volume
- 10
- Copyright
- 2016
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-41842-1
- DOI
- 10.1007/978-3-319-41842-1
- Hardcover ISBN
- 978-3-319-41841-4
- Softcover ISBN
- 978-3-319-82443-7
- Series ISSN
- 2211-2758
- Edition Number
- 1
- Number of Pages
- XXVII, 438
- Number of Illustrations
- 25 b/w illustrations, 2 illustrations in colour
- Topics
