Operators of higher order:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
Aachen
Shaker
1998
|
| Schriftenreihe: | Berichte aus der Informatik
|
| Schlagworte: | |
| Online-Zugang: | kostenfrei Inhaltsverzeichnis |
| Beschreibung: | Online verfügbar ab: 2016 |
| Beschreibung: | V, 95 Seiten |
| ISBN: | 3826540085 |
Internformat
MARC
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| 084 | |a ST 134 |0 (DE-625)143590: |2 rvk | ||
| 100 | 1 | |a Baier, Herbert |d 1968- |e Verfasser |0 (DE-588)120406756 |4 aut | |
| 245 | 1 | 0 | |a Operators of higher order |c Herbert Alexander Baier Saip |
| 264 | 1 | |a Aachen |b Shaker |c 1998 | |
| 300 | |a V, 95 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Informatik | |
| 500 | |a Online verfügbar ab: 2016 | ||
| 502 | |b Dissertation |c Julius-Maximilians-Universität Würzburg |d 1998 | ||
| 650 | 0 | 7 | |a Komplexitätsklasse |0 (DE-588)4164913-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantor |0 (DE-588)4128275-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Komplexitätstheorie |0 (DE-588)4120591-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Operator |0 (DE-588)4130529-2 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Komplexitätstheorie |0 (DE-588)4120591-1 |D s |
| 689 | 0 | 1 | |a Quantor |0 (DE-588)4128275-9 |D s |
| 689 | 0 | 2 | |a Operator |0 (DE-588)4130529-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Komplexitätsklasse |0 (DE-588)4164913-8 |D s |
| 689 | 1 | 1 | |a Quantor |0 (DE-588)4128275-9 |D s |
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| 856 | 4 | 1 | |u https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-140799 |x Resolving-System |z kostenfrei |3 Volltext |
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| 912 | |a ebook | ||
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008208581 | |
Datensatz im Suchindex
| _version_ | 1807501115333279746 |
|---|---|
| adam_text |
CONTENTS
LIST
OF
TABLES
III
LIST
OF
FIGURES
V
1
INTRODUCTION
1
1.1
A
BRIEF
OVERVIEW
.
1
1.2
OUTLINE
OF
THIS
THESIS
.
3
1.3
RELATED
PAPERS
AND
INTERESTING
RESULTS
.
4
2
PRELIMINARIES
7
2.1
BASIC
NOTATIONS
AND
CONCEPTS
.
7
2.2
COMPUTATIONAL
MODELS
.
8
2.2.1
WELL-KNOWN
COMPUTATIONAL
MODELS
.
8
2.2.2
TURING
MACHINES
OF
TYPE
J|
.
J
K
.
10
2.3
COMPLEXITY
CLASSES
.
11
2.3.1
WELL-KNOWN
COMPLEXITY
CLASSES
.
11
2.3.2
CLASSES
OF
TYPE
O,
.
A\
.
13
3
THE
ANALYTIC
POLYNOMIAL-TIME
HIERARCHY
15
3.1
THE
OPERATORS
AND
THE
HIERARCHY
.
15
3.1.1
THE
EXISTENTIAL
AND
UNIVERSAL
OPERATORS
.
16
3.1.2
THE
ANALYTIC
POLYNOMIAL-TIME
HIERARCHY
.
17
3.2
EQUIVALENCE
RULES
AND
A
NORMAL
FORM
.
17
3.2.1
INCLUSION
AND
EQUIVALENCE
RULES
.
17
3.2.2
A
NORMAL
FORM
THEOREM
.
23
3.3
CHARACTERIZING
THE
CLASSES
LCP(-)
AND
COLCP(-)
.
23
3.4
CHARACTERIZING
BY
WELL-KNOWN
COMPLEXITY
CLASSES
AND
AN
ALGORITHM
.
.
28
3.5
CONCLUSIONS
.
29
4
BOUNDING
QUERIES
IN
THE
ANALYTIC
POLYNOMIAL-TIME
HIERARCHY
31
4.1
COMPUTATIONAL
MODEL
AND
COMPLEXITY
CLASSES
.
31
4.2
BOUNDING
QUERIES
IN
SET
QUANTIFIERS
AND
A
NEW
HIERARCHY
.
33
4.2.1
BOUNDING
QUERIES
IN
EXISTENTIAL
AND
UNIVERSAL
SET
QUANTIFIERS
.
.
33
4.2.2
THE
BOUNDED
ANALYTIC
POLYNOMIAL-TIME
HIERARCHY
AND
A
NORMAL
FORM
.
34
4.3
INCLUSION
AND
EQUIVALENCE
RULES
.
35
II
CONTENTS
4.4
CHARACTERIZING
THE
CLASSES/CP(-)
AND
COJCP(-)
.
37
4.4.1
CHARACTERIZING
THE
CLASSES
K.
F
(A
Y
[R,
].
[RJ
,
M)
.
38
4.4.2
PARALLEL
QUERIES
.
45
4.5
REMAINDER
COMPLEXITY
CLASSES
.
46
4.5.1
CHARACTERIZING
THE
CLASSES
STP
.
47
4.5.2
OPEN
CASES
.
57
4.5.3
PARALLEL
QUERIES
.
59
4.6
CONCLUSIONS
.
59
5
THE ANALYTIC
LOGARITHMIC-SPACE
HIERARCHY
61
5.1
THE
OPERATORS
AND
THE
HIERARCHY
.
61
5.1.1
THE
EXISTENTIAL
AND
UNIVERSAL
OPERATORS
.
62
5.1.2
THE
ANALYTIC
LOGARITHMIC-SPACE
HIERARCHY
.
63
5.2
EQUIVALENCE
RULES
AND
NORMAL
FORM
.
63
5.2.1
INCLUSION
AND
EQUIVALENCE
RULES
.
63
5.2.2
A
NORMAL
FORM
THEOREM
.
67
5.3
CHARACTERIZING
THE
CLASSES
/C
L
(-)
AND
CO/CTF-)
.
68
5.4 CHARACTERIZING
CLASSES
(YY)
AND
CO/C(-)
.
70
5.5
CONCLUSIONS
.
74
6
PROBABILISTIC
BOUNDED
ERROR
OPERATORS
75
6.1
THE
PROBABILISTIC
BOUNDED
ERROR
QUANTIFIERS
.
75
6.2 INCLUSION
RULES
.
77
6.3
APPLICATIONS
TO
WELL-KNOWN
COMPLEXITY
CLASSES
.
79
6.4 THE
EMERGENCE
OF
THE
TYPE
1
QUANTIFIERS
.
81
6.5
CONCLUSIONS
.
84
BIBLIOGRAPHY
87
INDEX
91 |
| any_adam_object | 1 |
| author | Baier, Herbert 1968- |
| author_GND | (DE-588)120406756 |
| author_facet | Baier, Herbert 1968- |
| author_role | aut |
| author_sort | Baier, Herbert 1968- |
| author_variant | h b hb |
| building | Verbundindex |
| bvnumber | BV012121065 |
| classification_rvk | ST 134 |
| collection | ebook |
| ctrlnum | (OCoLC)75896454 (DE-599)BVBBV012121065 |
| discipline | Informatik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV012121065 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-16T00:16:28Z |
| institution | BVB |
| isbn | 3826540085 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008208581 |
| oclc_num | 75896454 |
| open_access_boolean | 1 |
| owner | DE-20 DE-29T DE-384 DE-473 DE-BY-UBG DE-703 DE-1051 DE-824 DE-29 DE-12 DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-1049 DE-92 DE-739 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-1102 DE-860 DE-2174 |
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| physical | V, 95 Seiten |
| psigel | ebook |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Shaker |
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| series2 | Berichte aus der Informatik |
| spelling | Baier, Herbert 1968- Verfasser (DE-588)120406756 aut Operators of higher order Herbert Alexander Baier Saip Aachen Shaker 1998 V, 95 Seiten txt rdacontent n rdamedia nc rdacarrier Berichte aus der Informatik Online verfügbar ab: 2016 Dissertation Julius-Maximilians-Universität Würzburg 1998 Komplexitätsklasse (DE-588)4164913-8 gnd rswk-swf Quantor (DE-588)4128275-9 gnd rswk-swf Komplexitätstheorie (DE-588)4120591-1 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Komplexitätstheorie (DE-588)4120591-1 s Quantor (DE-588)4128275-9 s Operator (DE-588)4130529-2 s DE-604 Komplexitätsklasse (DE-588)4164913-8 s Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:20-opus-140799 https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-140799 Resolving-System kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008208581&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baier, Herbert 1968- Operators of higher order Komplexitätsklasse (DE-588)4164913-8 gnd Quantor (DE-588)4128275-9 gnd Komplexitätstheorie (DE-588)4120591-1 gnd Operator (DE-588)4130529-2 gnd |
| subject_GND | (DE-588)4164913-8 (DE-588)4128275-9 (DE-588)4120591-1 (DE-588)4130529-2 (DE-588)4113937-9 |
| title | Operators of higher order |
| title_auth | Operators of higher order |
| title_exact_search | Operators of higher order |
| title_full | Operators of higher order Herbert Alexander Baier Saip |
| title_fullStr | Operators of higher order Herbert Alexander Baier Saip |
| title_full_unstemmed | Operators of higher order Herbert Alexander Baier Saip |
| title_short | Operators of higher order |
| title_sort | operators of higher order |
| topic | Komplexitätsklasse (DE-588)4164913-8 gnd Quantor (DE-588)4128275-9 gnd Komplexitätstheorie (DE-588)4120591-1 gnd Operator (DE-588)4130529-2 gnd |
| topic_facet | Komplexitätsklasse Quantor Komplexitätstheorie Operator Hochschulschrift |
| url | https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-140799 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008208581&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT baierherbert operatorsofhigherorder |