Recursion on the countable functionals:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1980
|
| Schriftenreihe: | Lecture notes in mathematics
811 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 190 S. |
| ISBN: | 3540100199 0387100199 |
Internformat
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| 245 | 1 | 0 | |a Recursion on the countable functionals |c Dag Norman |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1980 | |
| 300 | |a VIII, 190 S. | ||
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Datensatz im Suchindex
| _version_ | 1804116754580897792 |
|---|---|
| adam_text | CONTENTS
1 . THE MAXIMAL TYPE STRUCTURE 1
1.1 Functionals of higher types 1
1.2 Kleene s computations 6
1.3 A survey of recursion in normal functionals 19
2. THE COUNTABLE FUtiCTIONALS 23
2.1 Type-structures 23
2.2 The countable functionals 30
2.3 Countable recursion and the associates 40
3. Ct(n) AS A TOPOLOGICAL SPACE 49
3.1 The topology 49
3.2 Convergent sequences 55
3.3 Compact sets in Ct(k) 65
3.4 Filter-spaces and the countable functionals 74
4. COMPUTABILITY VS RECURSION 80
4.1 Degrees of functionals 80
4.2 Irreducible functionals of type 2 83
4.3 The fan-functional 99
4.4 The r-functional 110
5. THE COMPUTABLE STRUCTURE ON Ct(k) 116
5.1 A dense set 116
5.2 The trace of a functional 124
5.3 The complexity of Ct(k) 129
5.4 On the definability of computations 132
5.5 Regularity of countable recursion 141
6. SECTIONS 145
6.1 1-sections in a general type-structure 145
6.2 The 1-section of a type-2 functional 152
6.3 The 1-section of a higher type functional 162
6.4 Another type-structure 168
7. SOME FURTHER RESULTS AND TOPICS 173
7-1 Irreducible and nonobtainable functionals 173
7.2 Concluding remarks 184
BIBLIOGRAPHY 186
ALPHABETIC LIST OF CONCEPTS 189
LIST OF SYMBOLS 191
|
| any_adam_object | 1 |
| author | Normann, Dag |
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| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)6555069 (DE-599)BVBBV002294520 |
| dewey-full | 510 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 511 - General principles of mathematics |
| dewey-raw | 510 511.3 |
| dewey-search | 510 511.3 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002294520 |
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| indexdate | 2024-07-09T15:43:32Z |
| institution | BVB |
| isbn | 3540100199 0387100199 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001507900 |
| oclc_num | 6555069 |
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| physical | VIII, 190 S. |
| publishDate | 1980 |
| publishDateSearch | 1980 |
| publishDateSort | 1980 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Normann, Dag Verfasser aut Recursion on the countable functionals Dag Norman Berlin [u.a.] Springer 1980 VIII, 190 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 811 Fonctions calculables Functionalen gtt Recursie gtt Récursivité, Théorie de la Computable functions Functionals Recursion theory Berechenbare Funktion (DE-588)4135762-0 gnd rswk-swf Rekursionstheorie (DE-588)4122329-9 gnd rswk-swf Rekursionstheorie (DE-588)4122329-9 s Berechenbare Funktion (DE-588)4135762-0 s DE-604 Lecture notes in mathematics 811 (DE-604)BV000676446 811 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001507900&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Normann, Dag Recursion on the countable functionals Lecture notes in mathematics Fonctions calculables Functionalen gtt Recursie gtt Récursivité, Théorie de la Computable functions Functionals Recursion theory Berechenbare Funktion (DE-588)4135762-0 gnd Rekursionstheorie (DE-588)4122329-9 gnd |
| subject_GND | (DE-588)4135762-0 (DE-588)4122329-9 |
| title | Recursion on the countable functionals |
| title_auth | Recursion on the countable functionals |
| title_exact_search | Recursion on the countable functionals |
| title_full | Recursion on the countable functionals Dag Norman |
| title_fullStr | Recursion on the countable functionals Dag Norman |
| title_full_unstemmed | Recursion on the countable functionals Dag Norman |
| title_short | Recursion on the countable functionals |
| title_sort | recursion on the countable functionals |
| topic | Fonctions calculables Functionalen gtt Recursie gtt Récursivité, Théorie de la Computable functions Functionals Recursion theory Berechenbare Funktion (DE-588)4135762-0 gnd Rekursionstheorie (DE-588)4122329-9 gnd |
| topic_facet | Fonctions calculables Functionalen Recursie Récursivité, Théorie de la Computable functions Functionals Recursion theory Berechenbare Funktion Rekursionstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001507900&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT normanndag recursiononthecountablefunctionals |