Computability and logic:
Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from T...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2007
|
| Edition: | Fifth edition |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBG01 UBM01 UBY01 Volltext |
| Summary: | Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiii, 350 pages) |
| ISBN: | 9780511804076 |
| DOI: | 10.1017/CBO9780511804076 |
Staff View
MARC
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| 505 | 8 | |a Enumerability -- Diagonalization -- Turing Computability -- Uncomputability -- Abacus Computability -- Recursive Functions -- Recursive Sets and Relations -- Equivalent Definitions of Computability -- Precis of First-Order Logic: Syntax -- Precis of First-Order Logic: Semantics -- Undecidability of First-Order Logic -- Models -- Existence of Models -- Proofs and Completeness -- Arithmetization -- Representability of Recursive Functions -- Indefinability, Undecidability, Incompleteness -- Unprovability of Consistency -- Normal Forms -- Craig Interpolation Theorem -- Monadic and Dyadic Logic -- Second-Order Logic -- Arithmetical Definability -- Decidability of Arithmetic without Multiplication -- Nonstandard Models -- Ramsey's Theorem -- Modal Logic and Provability | |
| 520 | |a Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual | ||
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Record in the Search Index
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| any_adam_object | |
| author | Boolos, George 1940-1996 Burgess, John P. Jeffrey, Richard C. 1926-2002 |
| author_GND | (DE-588)171984196 (DE-588)1157426948 (DE-588)119344491 |
| author_facet | Boolos, George 1940-1996 Burgess, John P. Jeffrey, Richard C. 1926-2002 |
| author_role | aut aut aut |
| author_sort | Boolos, George 1940-1996 |
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| bvnumber | BV043924385 |
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| contents | Enumerability -- Diagonalization -- Turing Computability -- Uncomputability -- Abacus Computability -- Recursive Functions -- Recursive Sets and Relations -- Equivalent Definitions of Computability -- Precis of First-Order Logic: Syntax -- Precis of First-Order Logic: Semantics -- Undecidability of First-Order Logic -- Models -- Existence of Models -- Proofs and Completeness -- Arithmetization -- Representability of Recursive Functions -- Indefinability, Undecidability, Incompleteness -- Unprovability of Consistency -- Normal Forms -- Craig Interpolation Theorem -- Monadic and Dyadic Logic -- Second-Order Logic -- Arithmetical Definability -- Decidability of Arithmetic without Multiplication -- Nonstandard Models -- Ramsey's Theorem -- Modal Logic and Provability |
| ctrlnum | (ZDB-20-CBO)CR9780511804076 (OCoLC)967413308 (DE-599)BVBBV043924385 |
| dewey-full | 511.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/52 |
| dewey-search | 511.3/52 |
| dewey-sort | 3511.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511804076 |
| edition | Fifth edition |
| format | Electronic eBook |
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| id | DE-604.BV043924385 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:38:43Z |
| institution | BVB |
| isbn | 9780511804076 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029333464 |
| oclc_num | 967413308 |
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| physical | 1 online resource (xiii, 350 pages) |
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| publishDate | 2007 |
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| publisher | Cambridge University Press |
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| spelling | Boolos, George 1940-1996 Verfasser (DE-588)171984196 aut Computability and logic George S. Boolos, John P. Burgess , Richard C. Jeffrey Computability & Logic Fifth edition Cambridge Cambridge University Press 2007 1 online resource (xiii, 350 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Enumerability -- Diagonalization -- Turing Computability -- Uncomputability -- Abacus Computability -- Recursive Functions -- Recursive Sets and Relations -- Equivalent Definitions of Computability -- Precis of First-Order Logic: Syntax -- Precis of First-Order Logic: Semantics -- Undecidability of First-Order Logic -- Models -- Existence of Models -- Proofs and Completeness -- Arithmetization -- Representability of Recursive Functions -- Indefinability, Undecidability, Incompleteness -- Unprovability of Consistency -- Normal Forms -- Craig Interpolation Theorem -- Monadic and Dyadic Logic -- Second-Order Logic -- Arithmetical Definability -- Decidability of Arithmetic without Multiplication -- Nonstandard Models -- Ramsey's Theorem -- Modal Logic and Provability Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual Computable functions Recursive functions Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Berechenbarkeit (DE-588)4138368-0 gnd rswk-swf Berechenbarkeit (DE-588)4138368-0 s Mathematische Logik (DE-588)4037951-6 s 1\p DE-604 Burgess, John P. Verfasser (DE-588)1157426948 aut Jeffrey, Richard C. 1926-2002 Verfasser (DE-588)119344491 aut Erscheint auch als Druckausgabe 978-0-521-70146-4 Erscheint auch als Druckausgabe 978-0-521-87752-7 https://doi.org/10.1017/CBO9780511804076 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Boolos, George 1940-1996 Burgess, John P. Jeffrey, Richard C. 1926-2002 Computability and logic Enumerability -- Diagonalization -- Turing Computability -- Uncomputability -- Abacus Computability -- Recursive Functions -- Recursive Sets and Relations -- Equivalent Definitions of Computability -- Precis of First-Order Logic: Syntax -- Precis of First-Order Logic: Semantics -- Undecidability of First-Order Logic -- Models -- Existence of Models -- Proofs and Completeness -- Arithmetization -- Representability of Recursive Functions -- Indefinability, Undecidability, Incompleteness -- Unprovability of Consistency -- Normal Forms -- Craig Interpolation Theorem -- Monadic and Dyadic Logic -- Second-Order Logic -- Arithmetical Definability -- Decidability of Arithmetic without Multiplication -- Nonstandard Models -- Ramsey's Theorem -- Modal Logic and Provability Computable functions Recursive functions Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd Berechenbarkeit (DE-588)4138368-0 gnd |
| subject_GND | (DE-588)4037951-6 (DE-588)4138368-0 |
| title | Computability and logic |
| title_alt | Computability & Logic |
| title_auth | Computability and logic |
| title_exact_search | Computability and logic |
| title_full | Computability and logic George S. Boolos, John P. Burgess , Richard C. Jeffrey |
| title_fullStr | Computability and logic George S. Boolos, John P. Burgess , Richard C. Jeffrey |
| title_full_unstemmed | Computability and logic George S. Boolos, John P. Burgess , Richard C. Jeffrey |
| title_short | Computability and logic |
| title_sort | computability and logic |
| topic | Computable functions Recursive functions Logic, Symbolic and mathematical Mathematische Logik (DE-588)4037951-6 gnd Berechenbarkeit (DE-588)4138368-0 gnd |
| topic_facet | Computable functions Recursive functions Logic, Symbolic and mathematical Mathematische Logik Berechenbarkeit |
| url | https://doi.org/10.1017/CBO9780511804076 |
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