Omodeo Martin Davis on Computability, Computational Logic, and Mathematical Foundations

Martin Davis on Computability, Computational Logic, and Mathematical Foundations

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Beschreibung

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 In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’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.


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 In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’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.


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 Includes supplementary material: sn.pub/extras

Autor*in

Eugenio G. Omodeo

Themen in »Martin Davis on Computability, Computational Logic, and Mathematical Foundations«

Computational Logic Mathematical Foundations Hilbert's Tenth Problem DPLL and Satisfiability Solvers Hyperarithmetical Sets Church-Turing Thesis Essential Unification Quantum Computing Non-standard Analysis

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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)


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Details

ISBN: 9783319824437
Verlag: Springer International Publishing
Erscheinung: 03.05.2018

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