Hierarchical accepting systems and monadic second-order logic on graphs:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Kiel
Inst. für Informatik und Praktische Mathematik
1998
|
| Schriftenreihe: | Bericht / Institut für Informatik und Praktische Mathematik <Kiel>
9810 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 177 S. graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Hierarchical accepting systems and monadic second-order logic on graphs |c Ina Schiering |
| 264 | 1 | |a Kiel |b Inst. für Informatik und Praktische Mathematik |c 1998 | |
| 300 | |a 177 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Bericht / Institut für Informatik und Praktische Mathematik <Kiel> |v 9810 | |
| 502 | |a Zugl.: Kiel, Univ., Diss., 1998 | ||
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Datensatz im Suchindex
| _version_ | 1807773139522813952 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
3
2
BASICS
ABOUT
GRAPHS,
AUTOMATA
AND
LOGIC
13
2.1
WORDS,
TREES
AND
GRAPHS
.
13
2.2
TYPICAL
EXAMPLES
.
14
2.3
AUTOMATA
.
16
2.4
MONADIC
SECOND-ORDER
LOGIC
.
19
2.5
A
VARIANT
OF
MONADIC
SECOND-ORDER
LOGIC
.
23
2.6
EHRENFEUCHT-FRAI'SSE
GAMES
.
24
3
DECOMPOSITIONS
OF
GRAPHS
27
3.1
GRAPH
DECOMPOSITION
.
28
3.2
TREE
DECOMPOSITION
AND
PATH
DECOMPOSITION
.
33
3.3
HIERARCHICAL
GRAPH
DECOMPOSITION
.
38
3.4
INCLUSION
RESULTS
.
43
3.5
SUMMARY
.
50
4
AUTOMATA
FOR
GRAPH
DECOMPOSITIONS
53
4.1
DECOMPOSITION
ACCEPTING
SYSTEM
.
54
4.2
HIERARCHICAL
ACCEPTING
SYSTEM
.
58
4.3
SUMMARY
.
62
5
DECOMPOSITIONS
AND
MONADIC
SECOND-ORDER
LOGIC
65
5.1
DESCRIPTION
OF
DECOMPOSITIONS
.
66
5.1.1
DESCRIPTION
OF
C-GRAPH
DECOMPOSITIONS
.
66
5.1.2
DESCRIPTION
OF
HIERARCHICAL
GRAPH
DECOMPOSITIONS
.
75
5.2
DESCRIPTION
OF
AUTOMATA
.
92
5.2.1
DESCRIPTION
OF
DECOMPOSITION
ACCEPTING
SYSTEMS
.
93
5.2.2
DESCRIPTION
OF
HIERARCHICAL
ACCEPTING
SYSTEMS
.
102
5.3
SUMMARY
.
125
6
MONADIC
SECOND-ORDER
LOGIC
VERSUS
AUTOMATA
ON
GRAPHS
127
6.1
THE
TRANSLATION
THEOREM
.
128
2
6.2
MONADIC
SECOND-ORDER
LOGIC
AND
GRAPH
ACCEPTORS
.
139
6.2.1
THE
EQUIVALENCE
THEOREM
.
140
6.2.2
THE
SEPARATION
THEOREM
.
142
6.3
MONADIC
SECOND-ORDER
LOGIC
AND
HIERARCHICAL
ACCEPTING
SYSTEMS
150
6.3.1
THE
LIFTING
THEOREM
.
155
6.4
SUMMARY
.
170
7
CONCLUSION
173 |
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| discipline | Informatik Mathematik |
| format | Thesis Book |
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| id | DE-604.BV012396461 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:20:12Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008409033 |
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| physical | 177 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Inst. für Informatik und Praktische Mathematik |
| record_format | marc |
| series2 | Bericht / Institut für Informatik und Praktische Mathematik <Kiel> |
| spelling | Schiering, Ina Verfasser aut Hierarchical accepting systems and monadic second-order logic on graphs Ina Schiering Kiel Inst. für Informatik und Praktische Mathematik 1998 177 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bericht / Institut für Informatik und Praktische Mathematik <Kiel> 9810 Zugl.: Kiel, Univ., Diss., 1998 Graph (DE-588)4021842-9 gnd rswk-swf Mathematische Logik (DE-588)4037951-6 gnd rswk-swf Stufe 2 (DE-588)4418517-0 gnd rswk-swf Monade Mathematik (DE-588)4512463-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Monade Mathematik (DE-588)4512463-2 s Mathematische Logik (DE-588)4037951-6 s Stufe 2 (DE-588)4418517-0 s Graph (DE-588)4021842-9 s DE-604 Institut für Informatik und Praktische Mathematik <Kiel> Bericht 9810 (DE-604)BV000011623 9810 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008409033&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schiering, Ina Hierarchical accepting systems and monadic second-order logic on graphs Graph (DE-588)4021842-9 gnd Mathematische Logik (DE-588)4037951-6 gnd Stufe 2 (DE-588)4418517-0 gnd Monade Mathematik (DE-588)4512463-2 gnd |
| subject_GND | (DE-588)4021842-9 (DE-588)4037951-6 (DE-588)4418517-0 (DE-588)4512463-2 (DE-588)4113937-9 |
| title | Hierarchical accepting systems and monadic second-order logic on graphs |
| title_auth | Hierarchical accepting systems and monadic second-order logic on graphs |
| title_exact_search | Hierarchical accepting systems and monadic second-order logic on graphs |
| title_full | Hierarchical accepting systems and monadic second-order logic on graphs Ina Schiering |
| title_fullStr | Hierarchical accepting systems and monadic second-order logic on graphs Ina Schiering |
| title_full_unstemmed | Hierarchical accepting systems and monadic second-order logic on graphs Ina Schiering |
| title_short | Hierarchical accepting systems and monadic second-order logic on graphs |
| title_sort | hierarchical accepting systems and monadic second order logic on graphs |
| topic | Graph (DE-588)4021842-9 gnd Mathematische Logik (DE-588)4037951-6 gnd Stufe 2 (DE-588)4418517-0 gnd Monade Mathematik (DE-588)4512463-2 gnd |
| topic_facet | Graph Mathematische Logik Stufe 2 Monade Mathematik Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008409033&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000011623 |
| work_keys_str_mv | AT schieringina hierarchicalacceptingsystemsandmonadicsecondorderlogicongraphs |