Minimal degrees of unsolvability and the full approximation construction:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1975
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
162 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 3, Issue 1, Number 162 |
| Beschreibung: | VIII, 136 S. graph. Darst. |
| ISBN: | 0821818627 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV003067214 | ||
| 003 | DE-604 | ||
| 005 | 20160210 | ||
| 007 | t | ||
| 008 | 900725s1975 d||| m||| 00||| eng d | ||
| 020 | |a 0821818627 |9 0-8218-1862-7 | ||
| 035 | |a (OCoLC)1529362 | ||
| 035 | |a (DE-599)BVBBV003067214 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-29T |a DE-739 |a DE-355 |a DE-19 |a DE-12 |a DE-91G |a DE-706 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510/.8 | |
| 082 | 0 | |a 511/.3 | |
| 100 | 1 | |a Epstein, Richard L. |d 1947- |e Verfasser |0 (DE-588)109298241 |4 aut | |
| 245 | 1 | 0 | |a Minimal degrees of unsolvability and the full approximation construction |c Richard L. Epstein |
| 264 | 1 | |a Providence, RI |c 1975 | |
| 300 | |a VIII, 136 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 162 | |
| 500 | |a Volume 3, Issue 1, Number 162 | ||
| 502 | |a Zugl.: Berkeley, Calif., Univ. of Calif., Diss., 1975 | ||
| 650 | 7 | |a Constructieve wiskunde |2 gtt | |
| 650 | 7 | |a Wiskundige logica |2 gtt | |
| 650 | 4 | |a Constructive mathematics | |
| 650 | 4 | |a Recursive functions | |
| 650 | 4 | |a Unsolvability (Mathematical logic) | |
| 650 | 0 | 7 | |a Unlösbarkeit |0 (DE-588)4426195-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Rekursive Funktion |0 (DE-588)4138367-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 655 | 7 | |a Minimaler Grad |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Rekursive Funktion |0 (DE-588)4138367-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Unlösbarkeit |0 (DE-588)4426195-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Unlösbarkeit |0 (DE-588)4426195-0 |D s |
| 689 | 2 | 1 | |a Minimaler Grad |A f |
| 689 | 2 | |5 DE-604 | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 162 |w (DE-604)BV008000141 |9 162 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001922842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001922842 | ||
| 980 | 4 | |a (DE-12)AK06200427 | |
Datensatz im Suchindex
| _version_ | 1804117356520144896 |
|---|---|
| adam_text | TABLE OF CONTENTS
Page
ACKNOWLEDGEMENTS ii
INTRODUCTION v
CHAPTER I: A MINIMAL DEGREE 1
Functionals and Trees 2
Splitting Trees and Computation Lemmas 8
A Minimal Degree 11
CHAPTER II: A MINIMAL DEGREE m 0/ 13
Motivation 15
Boundary Strings and Dummy Extensions 21
Construction of m £ 27
Proof 29
T* 35
e
CHAPTER III: A MINIMAL DEGREE such that m = 0_ 52
Motivation 53
Construction of m = 0 58
Proof 60
CHAPTER IV: MINIMAL DEGREES AND THE JUMP OPERATOR 64
Motivation 65
Further Topics and Remarks 73
CHAPTER V: A MINIMAL DEGREE m a_ r.e 75
Permitting 76
Motivation 77
Construction of m_ a_ r.e 85
Plan of Proof 89
Proof 92
CHAPTER VI: A MINIMAL DEGREE such that m U a_ r.e. = 0/ .... 97
The Join Technique 99
Motivation 103
Construction of m a. r.e. = 0/ 112
Plan of Proof 116
Proof 118
Further Topics and Remarks 128
BIBLIOGRAPHY 131
INDEX 132
NOTES added in proof 135
|
| any_adam_object | 1 |
| author | Epstein, Richard L. 1947- |
| author_GND | (DE-588)109298241 |
| author_facet | Epstein, Richard L. 1947- |
| author_role | aut |
| author_sort | Epstein, Richard L. 1947- |
| author_variant | r l e rl rle |
| building | Verbundindex |
| bvnumber | BV003067214 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)1529362 (DE-599)BVBBV003067214 |
| dewey-full | 510/.8 511/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 511 - General principles of mathematics |
| dewey-raw | 510/.8 511/.3 |
| dewey-search | 510/.8 511/.3 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02268nam a2200565 cb4500</leader><controlfield tag="001">BV003067214</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160210 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1975 d||| m||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821818627</subfield><subfield code="9">0-8218-1862-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1529362</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003067214</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510/.8</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.3</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Epstein, Richard L.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)109298241</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Minimal degrees of unsolvability and the full approximation construction</subfield><subfield code="c">Richard L. Epstein</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="c">1975</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 136 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">162</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 3, Issue 1, Number 162</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Berkeley, Calif., Univ. of Calif., Diss., 1975</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Constructieve wiskunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Wiskundige logica</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Constructive mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Recursive functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Unsolvability (Mathematical logic)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Unlösbarkeit</subfield><subfield code="0">(DE-588)4426195-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Rekursive Funktion</subfield><subfield code="0">(DE-588)4138367-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Minimaler Grad</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Rekursive Funktion</subfield><subfield code="0">(DE-588)4138367-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Unlösbarkeit</subfield><subfield code="0">(DE-588)4426195-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Unlösbarkeit</subfield><subfield code="0">(DE-588)4426195-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Minimaler Grad</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">162</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">162</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001922842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001922842</subfield></datafield><datafield tag="980" ind1="4" ind2=" "><subfield code="a">(DE-12)AK06200427</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content Minimaler Grad gnd |
| genre_facet | Hochschulschrift Minimaler Grad |
| id | DE-604.BV003067214 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:53:06Z |
| institution | BVB |
| isbn | 0821818627 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001922842 |
| oclc_num | 1529362 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-29T DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-12 DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| owner_facet | DE-384 DE-703 DE-29T DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-12 DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| physical | VIII, 136 S. graph. Darst. |
| psigel | TUB-www |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Epstein, Richard L. 1947- Verfasser (DE-588)109298241 aut Minimal degrees of unsolvability and the full approximation construction Richard L. Epstein Providence, RI 1975 VIII, 136 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 162 Volume 3, Issue 1, Number 162 Zugl.: Berkeley, Calif., Univ. of Calif., Diss., 1975 Constructieve wiskunde gtt Wiskundige logica gtt Constructive mathematics Recursive functions Unsolvability (Mathematical logic) Unlösbarkeit (DE-588)4426195-0 gnd rswk-swf Rekursive Funktion (DE-588)4138367-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Minimaler Grad gnd rswk-swf Rekursive Funktion (DE-588)4138367-9 s DE-604 Unlösbarkeit (DE-588)4426195-0 s Minimaler Grad f American Mathematical Society: Memoirs of the American Mathematical Society 162 (DE-604)BV008000141 162 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001922842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Epstein, Richard L. 1947- Minimal degrees of unsolvability and the full approximation construction American Mathematical Society: Memoirs of the American Mathematical Society Constructieve wiskunde gtt Wiskundige logica gtt Constructive mathematics Recursive functions Unsolvability (Mathematical logic) Unlösbarkeit (DE-588)4426195-0 gnd Rekursive Funktion (DE-588)4138367-9 gnd |
| subject_GND | (DE-588)4426195-0 (DE-588)4138367-9 (DE-588)4113937-9 |
| title | Minimal degrees of unsolvability and the full approximation construction |
| title_auth | Minimal degrees of unsolvability and the full approximation construction |
| title_exact_search | Minimal degrees of unsolvability and the full approximation construction |
| title_full | Minimal degrees of unsolvability and the full approximation construction Richard L. Epstein |
| title_fullStr | Minimal degrees of unsolvability and the full approximation construction Richard L. Epstein |
| title_full_unstemmed | Minimal degrees of unsolvability and the full approximation construction Richard L. Epstein |
| title_short | Minimal degrees of unsolvability and the full approximation construction |
| title_sort | minimal degrees of unsolvability and the full approximation construction |
| topic | Constructieve wiskunde gtt Wiskundige logica gtt Constructive mathematics Recursive functions Unsolvability (Mathematical logic) Unlösbarkeit (DE-588)4426195-0 gnd Rekursive Funktion (DE-588)4138367-9 gnd |
| topic_facet | Constructieve wiskunde Wiskundige logica Constructive mathematics Recursive functions Unsolvability (Mathematical logic) Unlösbarkeit Rekursive Funktion Hochschulschrift Minimaler Grad |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001922842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT epsteinrichardl minimaldegreesofunsolvabilityandthefullapproximationconstruction |