03734nam 22005295 450 991016302680332120220413184538.03-319-41842-410.1007/978-3-319-41842-1(CKB)3710000001045325(MiAaPQ)EBC4797401(DE-He213)978-3-319-41842-1(EXLCZ)99371000000104532520170201d2016 u| 0engurcnu||||||||rdacontentrdamediardacarrierMartin Davis on computability, computational logic, and mathematical foundations /edited by Eugenio G. Omodeo, Alberto Policriti1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (453 pages) illustrationsOutstanding Contributions to Logic,2211-2758 ;103-319-41841-6 Includes bibliographical references at the end of each chapters and indexes.Chapter 1. My Life as a Logician (Martin Davis) -- Chapter 2. Martin Davis and Hilbert’s Tenth Problem (Yuri Matiyasevich) -- Chapter 3. Extensions of Hilbert’s Tenth Problem: Definability and Decidability in Number Theory (Alexandra Shlapentokh) -- Chapter 4. A Story of Hilbert’s Tenth Problem (Laura Elena Morales Guerrero) -- Chapter 5. Hyperarithmetical Sets (Yiannis N. Moschovakis) -- Chapter 6. Honest Computability and Complexity (Udi Boker and Nachum Dershowitz) -- Chapter 7. Why Post Did [Not] Have Turing’s Thesis (Wilfried Sieg) -- Chapter 8. On Quantum Computation, Anyons, and Categories (Andreas Blass).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 In addition, it includes two previously unpublished original historical papers in which Davis and Putnam investigate the decidable and the undecidable side of Logic, as well as a full bibliography of Davis’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.Outstanding Contributions to Logic,2211-2758 ;10LogicMathematical logicLogichttps://scigraph.springernature.com/ontologies/product-market-codes/E16000Mathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Logic.Mathematical logic.Logic.Mathematical Logic and Foundations.925.1Omodeo Eugenio Gedthttp://id.loc.gov/vocabulary/relators/edtPolicriti Albertoedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910163026803321Martin Davis on Computability, Computational Logic, and Mathematical Foundations2518851UNINA