Computability, enumerability, unsolvability :: directions in recursion theory /
The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure m...
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Weitere Verfasser: | , , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1996.
|
Schriftenreihe: | London Mathematical Society lecture note series ;
224. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory. The topics range over computable functions, enumerable sets, degree structures, complexity, subrecursiveness, domains and inductive inference. A number of the articles contain introductory and background material which it is hoped will make this volume an invaluable resource. |
Beschreibung: | 1 online resource (vii, 347 pages) |
Bibliographie: | Includes bibliographical references. |
ISBN: | 9781107362390 1107362393 9780511629167 0511629168 |
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520 | |a The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory. The topics range over computable functions, enumerable sets, degree structures, complexity, subrecursiveness, domains and inductive inference. A number of the articles contain introductory and background material which it is hoped will make this volume an invaluable resource. | ||
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author2 | Cooper, S. B. (S. Barry) Slaman, T. A. (Theodore Allen), 1954- Wainer, S. S. |
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contents | Resource bounded genericity / K. Ambos-Spies -- On isolating r.e. and isolated d-r.e. degrees / M.M. Arslanov, S. Lempp and R.A. Shore -- A characterisation of the jumps of minimal degrees below 0' / S.B. Cooper -- Array nonrecursive degrees and genericity / R. Downey, C.G. Jockusch and M. Stob -- Dynamic properties of computably enumerable sets / L. Harrington and R.I. Soare -- Axioms for subrecursion theories / A.J. Heaton and S.S. Wainer -- On the [actual symbol not reproducible] -- theory of the factor lattice by the major subset relation / E. Herrmann -- Degrees of generic sets / M. Kumabe -- Embeddings into the recursively enumerable degrees / M. Lerman -- On a question of Brown and Simpson / M.E. Mytilinaios and T.A. Slaman -- Relativization of structures arising from computability theory / A. Nies -- A Hierarchy of domains with totality, but without density / D. Normann -- Inductive inference of total functions / P. Odifreddi. |
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spelling | Computability, enumerability, unsolvability : directions in recursion theory / edited by S.B. Cooper, T.A. Slaman, S.S. Wainer. Cambridge [England] ; New York : Cambridge University Press, 1996. 1 online resource (vii, 347 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 224 Includes bibliographical references. Resource bounded genericity / K. Ambos-Spies -- On isolating r.e. and isolated d-r.e. degrees / M.M. Arslanov, S. Lempp and R.A. Shore -- A characterisation of the jumps of minimal degrees below 0' / S.B. Cooper -- Array nonrecursive degrees and genericity / R. Downey, C.G. Jockusch and M. Stob -- Dynamic properties of computably enumerable sets / L. Harrington and R.I. Soare -- Axioms for subrecursion theories / A.J. Heaton and S.S. Wainer -- On the [actual symbol not reproducible] -- theory of the factor lattice by the major subset relation / E. Herrmann -- Degrees of generic sets / M. Kumabe -- Embeddings into the recursively enumerable degrees / M. Lerman -- On a question of Brown and Simpson / M.E. Mytilinaios and T.A. Slaman -- Relativization of structures arising from computability theory / A. Nies -- A Hierarchy of domains with totality, but without density / D. Normann -- Inductive inference of total functions / P. Odifreddi. The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory. The topics range over computable functions, enumerable sets, degree structures, complexity, subrecursiveness, domains and inductive inference. A number of the articles contain introductory and background material which it is hoped will make this volume an invaluable resource. Print version record. Recursion theory. http://id.loc.gov/authorities/subjects/sh85112012 Théorie de la récursivité. COMPUTERS Machine Theory. bisacsh Recursion theory fast Rekursionstheorie gnd http://d-nb.info/gnd/4122329-9 Aufsatzsammlung gnd Recursie. gtt Logica. gtt Récursivité, théorie de la. ram Cooper, S. B. (S. Barry) https://id.oclc.org/worldcat/entity/E39PBJdcwwDHpCWXQw9t3P3JDq http://id.loc.gov/authorities/names/n95107558 Slaman, T. A. (Theodore Allen), 1954- https://id.oclc.org/worldcat/entity/E39PBJyRFPwqHtVHh34KHtkVYP http://id.loc.gov/authorities/names/n88271514 Wainer, S. S. Print version: Computability, enumerability, unsolvability. Cambridge [England] ; New York : Cambridge University Press, 1996 0521557364 (DLC) 95044750 (OCoLC)33668032 London Mathematical Society lecture note series ; 224. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552379 Volltext |
spellingShingle | Computability, enumerability, unsolvability : directions in recursion theory / London Mathematical Society lecture note series ; Resource bounded genericity / K. Ambos-Spies -- On isolating r.e. and isolated d-r.e. degrees / M.M. Arslanov, S. Lempp and R.A. Shore -- A characterisation of the jumps of minimal degrees below 0' / S.B. Cooper -- Array nonrecursive degrees and genericity / R. Downey, C.G. Jockusch and M. Stob -- Dynamic properties of computably enumerable sets / L. Harrington and R.I. Soare -- Axioms for subrecursion theories / A.J. Heaton and S.S. Wainer -- On the [actual symbol not reproducible] -- theory of the factor lattice by the major subset relation / E. Herrmann -- Degrees of generic sets / M. Kumabe -- Embeddings into the recursively enumerable degrees / M. Lerman -- On a question of Brown and Simpson / M.E. Mytilinaios and T.A. Slaman -- Relativization of structures arising from computability theory / A. Nies -- A Hierarchy of domains with totality, but without density / D. Normann -- Inductive inference of total functions / P. Odifreddi. Recursion theory. http://id.loc.gov/authorities/subjects/sh85112012 Théorie de la récursivité. COMPUTERS Machine Theory. bisacsh Recursion theory fast Rekursionstheorie gnd http://d-nb.info/gnd/4122329-9 Aufsatzsammlung gnd Recursie. gtt Logica. gtt Récursivité, théorie de la. ram |
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title | Computability, enumerability, unsolvability : directions in recursion theory / |
title_auth | Computability, enumerability, unsolvability : directions in recursion theory / |
title_exact_search | Computability, enumerability, unsolvability : directions in recursion theory / |
title_full | Computability, enumerability, unsolvability : directions in recursion theory / edited by S.B. Cooper, T.A. Slaman, S.S. Wainer. |
title_fullStr | Computability, enumerability, unsolvability : directions in recursion theory / edited by S.B. Cooper, T.A. Slaman, S.S. Wainer. |
title_full_unstemmed | Computability, enumerability, unsolvability : directions in recursion theory / edited by S.B. Cooper, T.A. Slaman, S.S. Wainer. |
title_short | Computability, enumerability, unsolvability : |
title_sort | computability enumerability unsolvability directions in recursion theory |
title_sub | directions in recursion theory / |
topic | Recursion theory. http://id.loc.gov/authorities/subjects/sh85112012 Théorie de la récursivité. COMPUTERS Machine Theory. bisacsh Recursion theory fast Rekursionstheorie gnd http://d-nb.info/gnd/4122329-9 Aufsatzsammlung gnd Recursie. gtt Logica. gtt Récursivité, théorie de la. ram |
topic_facet | Recursion theory. Théorie de la récursivité. COMPUTERS Machine Theory. Recursion theory Rekursionstheorie Aufsatzsammlung Recursie. Logica. Récursivité, théorie de la. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552379 |
work_keys_str_mv | AT coopersb computabilityenumerabilityunsolvabilitydirectionsinrecursiontheory AT slamanta computabilityenumerabilityunsolvabilitydirectionsinrecursiontheory AT wainerss computabilityenumerabilityunsolvabilitydirectionsinrecursiontheory |