Modular construction of strategies winning infinite games:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
Kiel
Inst. für Informatik und Praktische Mathematik
1997
|
| Series: | Bericht / Institut für Informatik und Praktische Mathematik
9709 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 149 S. graph. Darst. |
Staff View
MARC
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| 100 | 1 | |a Lescow, Helmut |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Modular construction of strategies winning infinite games |c Helmut Lescow |
| 264 | 1 | |a Kiel |b Inst. für Informatik und Praktische Mathematik |c 1997 | |
| 300 | |a 149 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Bericht / Institut für Informatik und Praktische Mathematik |v 9709 | |
| 502 | |a Zugl.: Kiel, Univ., Diss., 1997 | ||
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Record in the Search Index
| _version_ | 1805067844500586496 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
3
2
BASICS
ON
INFINITE
GAMES
AND
^-AUTOMATA
11
2.1
GALE-STEWART
GAMES
.
11
2.2
GALE-STEWART
GAMES
AS
GAMES
ON
GRAPHS
.
13
3
DEFINITIONS
AND
PRELIMINARIES
18
3.1
INFINITE
GAMES
ON
FINITE
GRAPHS
.
18
3.2
STRATEGIES
IN
INFINITE
GAMES
.
20
3.3
I/O-AUTOMATA
FOR
REALIZING
STRATEGIES
.
25
4
CONSTRUCTION
OF
STRATEGIES
28
4.1
COMPOSING
STRATEGIES
.
28
4.2
PROPERTIES
OF
THE
STRATEGY
OPERATORS
.
37
4.2.1
DOMAINS,
FINAL
AND
ESCAPE
POSITIONS
OF
COMPOSED
STRATEGIES
.
.
37
4.2.2
COMPOSITIONAL
PROPERTIES
OF
THE
STRATEGY
OPERATORS
.
39
4.3
BASIC
STRATEGIES
.
41
4.3.1
THE
JOICE
AND
THE
STRATEGY
.
41
4.3.2
THE
2UJOTCE
STRATEGY
.
46
5
UPPER
MEMORY
BOUNDS
FOR
STRATEGIES
IN
MULLER
GAMES
56
5.1
PROPERTIES
OF
FFORCE
AND
SUJJORCE-STRATEGIES
IN
MULLER
GAMES
.
57
2
CONTENTS
5.2
GAINES
WITH
LONGEST
CHAIN
OF
LENGTH
K
.
63
5.2.1
COMPLEXITY
OF
THE
COMPUTATION
OF
WINNING
STRATEGIES
.
73
5.3
GS
GAMES
WITH
K
MINIMAL
POSITIVE
LOOPS
.
74
6
LOWER
MEMORY
BOUNDS
FOR
STRATEGIES
IN
MULLER
GAMES
85
6.1
GAMES
WITH
LONGEST
CHAIN
OF
LENGTH
K
.
86
6.2
GS
GAMES
WITH
K
MINIMAL
POSITIVE
LOOPS
.
96
6.3
EXPONENTIAL
LOWER
BOUNDS
.
103
7
REDUCING
THE
MEMORY
OF
WINNING
STRATEGIES
106
7.1
MINIMIZING
STRATEGIES
BY
PRE-PROCESSING
IN
MULLER
GAMES
.
108
7.1.1
COMPUTING
SEPARATING
SETS
.
113
7.2
MINIMIZING
STRATEGIES
BY
PRE-PROCESSING
IN
GS
GAMES
.
119
7.2.1
IMPROVEMENTS
FOR
TWO
NON-DISJOINT
MINIMAL
POSITIVE
LOOPS
.
.
.
120
7.2.2
IMPROVEMENTS
FOR
ARBITRARY
MANY
NON-DISJOINT
MINIMAL
POSITIVE
LOOPS
.
121
7.2.3
COMPUTING
THE
SIZE
OF
IMPROVED
GS
STRATEGIES
.
127
7.3
MINIMIZING
EXISTING
STRATEGIES
.
129
8
GAMES
WITH
RABIN
AND
STREETT
WINNING
CONDITION
133
8.1
UPPER
MEMORY
BOUNDS
.
134
8.2
LOWER
MEMORY
BOUNDS
.
140
9
CONCLUSION
143 |
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| author_facet | Lescow, Helmut |
| author_role | aut |
| author_sort | Lescow, Helmut |
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| classification_tum | DAT 310d MAT 924d |
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| discipline | Informatik Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV011409201 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:40:41Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007670635 |
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| physical | 149 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Inst. für Informatik und Praktische Mathematik |
| record_format | marc |
| series2 | Bericht / Institut für Informatik und Praktische Mathematik |
| spelling | Lescow, Helmut Verfasser aut Modular construction of strategies winning infinite games Helmut Lescow Kiel Inst. für Informatik und Praktische Mathematik 1997 149 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bericht / Institut für Informatik und Praktische Mathematik 9709 Zugl.: Kiel, Univ., Diss., 1997 Softwareentwicklung (DE-588)4116522-6 gnd rswk-swf Unendliches Spiel (DE-588)4528827-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Unendliches Spiel (DE-588)4528827-6 s Softwareentwicklung (DE-588)4116522-6 s DE-604 Institut für Informatik und Praktische Mathematik Bericht 9709 (DE-604)BV000011623 9709 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007670635&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lescow, Helmut Modular construction of strategies winning infinite games Softwareentwicklung (DE-588)4116522-6 gnd Unendliches Spiel (DE-588)4528827-6 gnd |
| subject_GND | (DE-588)4116522-6 (DE-588)4528827-6 (DE-588)4113937-9 |
| title | Modular construction of strategies winning infinite games |
| title_auth | Modular construction of strategies winning infinite games |
| title_exact_search | Modular construction of strategies winning infinite games |
| title_full | Modular construction of strategies winning infinite games Helmut Lescow |
| title_fullStr | Modular construction of strategies winning infinite games Helmut Lescow |
| title_full_unstemmed | Modular construction of strategies winning infinite games Helmut Lescow |
| title_short | Modular construction of strategies winning infinite games |
| title_sort | modular construction of strategies winning infinite games |
| topic | Softwareentwicklung (DE-588)4116522-6 gnd Unendliches Spiel (DE-588)4528827-6 gnd |
| topic_facet | Softwareentwicklung Unendliches Spiel Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007670635&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000011623 |
| work_keys_str_mv | AT lescowhelmut modularconstructionofstrategieswinninginfinitegames |