Definability and computability:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Consultants Bureau
1996
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Schriftenreihe: | Siberian school of algebra and logic
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIV, 264 S. |
ISBN: | 0306110393 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | DEFINABILITY AND COMPUTABILITY YURI L. ERSHOV NOVOSIBIRSK STATE
UNIVERSITY AND INSTITUTE OF MATHEMATICS NOVOSIBIRSK, RUSSIA CONSULTANTS
BUREAU * NEW YORK, LONDON, AND MOSCOW CONTENTS CHAPTER 1. S-DEFINABILITY
AND THE GODEL INCOMPLETENESS THEOREM 1 1.1. RQ-FORMULAS AND S-FORMULAS 1
1.2. DEFINABILITY BY FORMULAS 13 1.3. POSITIVE FORMULAS AND MONOTONIC
OPERATORS 20 1.4. S-PREDICATES AND S-FUNCTIONS ON Q 26 1.5.
S-DEFINABILITY OF THE TRUTH OF S-FORMULAS ON Q 38 1.6. UNIVERSAL
^-PREDICATES AND UNIVERSAL PARTIAL S-FUNCTIONS ... 51 1.7. THE CHURCH
THEOREM AND THE GODEL INCOMPLETENESS THEOREM . 56 CHAPTER 2.
COMPUTABILITY ON ADMISSIBLE SETS 71 2.1. ALGEBRAIC SYSTEMS FI AND HF(0)
71 2.2. THE KPU THEORY. ADMISSIBLE SETS 82 2.3. THE ^-REFLECTION,
A-SEPARATION, AND ^-COLLECTION PRINCIPLES . . 89 2.4. S-OPERATORS, THE
GANDY THEOREM, AND FIRST-ORDER DEFINABILITY OF S-OPERATORS 95 2.5.
S-RECURSIVE DEFINITIONS 104 2.6. S-DEFINABILITY OF THE TRUTH OF
S-FORMULAS AND A UNIVERSAL S-PREDICATE ILL XI XII CONTENTS 2.7.
KPU-MODELS 122 2.8. REDUCIBILITIES 134 CHAPTER 3. SELECTED TOPICS 143
3.1. CONSTRUCTIBLE SETS 143 3.2. RECURSIVELY SATURATED SYSTEMS 152 3.3.
FLATTENING AND FORCING 159 3.4. DEFINABILITY AND S-DEFINABILITY OF
ALGEBRAIC SYSTEMS 174 3.5. COMPUTABILITY IN SPECIAL ADMISSIBLE SETS 185
3.6. S-ADMISSIBLE FAMILIES 202 3.7. DYNAMIC LOGIC 216 3.8. S-PREDICATES
OF FINITE TYPES 228 3.9. EFFECTIVE /-SPACES 239 APPENDIX 251 REFERENCES
(MAIN LIST) 257 REFERENCES (ADDITIONAL LIST) 259 SUBJECT INDEX 261
|
any_adam_object | 1 |
author | Eršov, Jurij Leonidovič 1940- |
author_GND | (DE-588)12229453X |
author_facet | Eršov, Jurij Leonidovič 1940- |
author_role | aut |
author_sort | Eršov, Jurij Leonidovič 1940- |
author_variant | j l e jl jle |
building | Verbundindex |
bvnumber | BV011215251 |
classification_rvk | SK 130 |
ctrlnum | (OCoLC)247531929 (DE-599)BVBBV011215251 |
discipline | Mathematik |
format | Book |
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id | DE-604.BV011215251 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T18:05:56Z |
institution | BVB |
isbn | 0306110393 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007523873 |
oclc_num | 247531929 |
open_access_boolean | |
owner | DE-29T DE-19 DE-BY-UBM |
owner_facet | DE-29T DE-19 DE-BY-UBM |
physical | XIV, 264 S. |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | Consultants Bureau |
record_format | marc |
series2 | Siberian school of algebra and logic |
spelling | Eršov, Jurij Leonidovič 1940- Verfasser (DE-588)12229453X aut Definability and computability Yuri L. Ershov New York [u.a.] Consultants Bureau 1996 XIV, 264 S. txt rdacontent n rdamedia nc rdacarrier Siberian school of algebra and logic Berechenbarkeit (DE-588)4138368-0 gnd rswk-swf Definierbarkeit (DE-588)4284514-2 gnd rswk-swf Berechenbarkeit (DE-588)4138368-0 s DE-604 Definierbarkeit (DE-588)4284514-2 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007523873&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Eršov, Jurij Leonidovič 1940- Definability and computability Berechenbarkeit (DE-588)4138368-0 gnd Definierbarkeit (DE-588)4284514-2 gnd |
subject_GND | (DE-588)4138368-0 (DE-588)4284514-2 |
title | Definability and computability |
title_auth | Definability and computability |
title_exact_search | Definability and computability |
title_full | Definability and computability Yuri L. Ershov |
title_fullStr | Definability and computability Yuri L. Ershov |
title_full_unstemmed | Definability and computability Yuri L. Ershov |
title_short | Definability and computability |
title_sort | definability and computability |
topic | Berechenbarkeit (DE-588)4138368-0 gnd Definierbarkeit (DE-588)4284514-2 gnd |
topic_facet | Berechenbarkeit Definierbarkeit |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007523873&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT ersovjurijleonidovic definabilityandcomputability |