Modular properties of composable term rewriting systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bielefeld
Techn. Fak. der Univ. Bielefeld, Abt. Informationstechnik
1994
|
| Series: | Forschungsberichte der Technischen Fakultät, Abteilung Informationstechnik
1994,1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Bielefeld, Univ., Diss., 1994 |
| Physical Description: | III, 185 S. graph. Darst. |
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MARC
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| 264 | 1 | |a Bielefeld |b Techn. Fak. der Univ. Bielefeld, Abt. Informationstechnik |c 1994 | |
| 300 | |a III, 185 S. |b graph. Darst. | ||
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| 490 | 1 | |a Forschungsberichte der Technischen Fakultät, Abteilung Informationstechnik |v 1994,1 | |
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
2
PRELIMINARIES
7
2.1
ABSTRACT
REDUCTION
SYSTEMS
.
7
2.1.1
PARTIAL
ORDERINGS
.
;
.
11
2.2
TERM
REWRITING
SYSTEMS
.
14
2.2.1
DECIDABILITY
OF
PROPERTIES
.
.
.
.
22
3
MODULAR
PROPERTIES
'
23
3.1
VARIOUS
COMBINATIONS
.
23
3.2
RESULTS:
AN
OVERVIEW
.
26
3.3
COMPOSABLE
SYSTEMS
.
28
3.3.1
BASIC
NOTIONS
.
28
3.3.2
TESTING
FOR
PAIRWISE
COMPOSIBILITY
.
36
3.3.3
DEPENDENCY
COMPONENTS
.
38
3.4
LOCAL
CONFLUENCE
AND
NORMALIZATION
.
40
3.5
SEMI-COMPLETENESS
.
44
4
CONFLUENCE
49
4.1
A
COUNTEREXAMPLE
.
49
4.2
A
SUFFICIENT
CRITERION
.
.
.
49
4.2.1
COLLAPSING
REDUCTION
.
49
4.2.2
CONFLUENCE
OF
WHITE
PRESERVED
TERMS
.
51
4.2.3
CONFLUENCE
IS
MODULAR
IF
-
C
IS
NORMALIZING
.
53
4.3
CONSEQUENCES
OF
THE
SUFFICIENT
CRITERION
.
55
4.3.1
TOYAMA
'
S
THEOREM
.
55
4.3.2
MODULARITY
OF
SEMI-COMPLETENESS
FOR
CONSTRUCTOR-SHARING
SYSTEMS
.
56
4.4
LEFT-LINEAR
SYSTEMS
.
59
II
CONTENTS
5
TERMINATION
61
5.1
SIMPLE
TERMINATION
.
61
5.2
DISJOINT
SYSTEMS
.
.
68
5.2.1
THE
FAMOUS
COUNTEREXAMPLE
.
68
5.2.2
NON-COLLAPSING
AND
NON-DUPLICATING
SYSTEMS
.
68
5.2.3
SUFFICIENT
CONDITIONS
FOR
THE
MODULARITY
OF
TERMINATION
.
71
5.3
COMPOSABLE
SYSTEMS
.
80
5.3.1
LAYER-PRESERVATION
AND
NON-DUPLICATION
.
81
5.3.2
THE
SIMPLIFYING
PROPERTY
.
84
6
COMPLETENESS
89
6.1
DISJOINT
SYSTEMS
.
.
.
.
89
6.1.1
COUNTEREXAMPLES
.
'
.
89
6.1.2
LEFT-LINEAR
SYSTEMS
.
,
.
:
.
91
6.1.3
VARIABLE-PRESERVING
SYSTEMS
.
.
.
.
109
6.2
COMPOSABLE
SYSTEMS
.
114
6.2.1
OVERLAY
SYSTEMS
.
115
7
COMBINING
REDUCTION
STRATEGIES
121
7.1
DISJOINT
SYSTEMS
.
.
.
121
7.2
CONSTRUCTOR-SHARING
SYSTEMS
.
122
8
CONDITIONAL
TERM
REWRITING
SYSTEMS
127
8.1
BASIC
NOTIONS
.
127
8.2
RESULTS:
A
BRIEF
SUMMARY
.
133
8.3
CONSTRUCTOR-SHARING
SYSTEMS
.
,
.
.
134
8.3.1
LOCAL
CONFLUENCE
AND
NORMALIZATION
.
135
8.3.2
CONFLUENCE
AND
SEMI-COMPLETENESS
.
136
8.3.3
TERMINATION
AND
COMPLETENESS
.
141
8.3.4
COMBINING
REDUCTION
STRATEGIES
.
146
8.4
COMPOSABLE
SYSTEMS
.
151
8.4.1
THE
SIMPLIFYING
PROPERTY
.
151
8.4.2
CONDITIONAL
CONSTRUCTOR
SYSTEMS
.
152
9
RELATED
SUBJECTS
153
9.1
UNIQUE
NORMAL
FORMS
AND
RELATED
PROPERTIES
.
153
CONTENTS
III
9.2
HIERARCHICAL
COMBINATIONS
.
154
9.3
COMMUTATION
.
156
9.4
TERM
GRAPH
REWRITING
.
158
9.5
MANY-SORTED
TERM
REWRITING
.
159
9.6
APPLICATIVE
TERM
REWRITING
.
.
160
9.7
OPEN
PROBLEMS
.
161
A
KRUSKAL
'
S
TREE
THEOREM
165
A.L
WELL-QUASI-ORDERINGS
.
165
A.
2
KRUSKAL
'
S
TREE
THEOREM
.
166
BIBLIOGRAPHY
169
INDEX
179
LIST
OF
NOTATIONS
183 |
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| indexdate | 2024-08-23T00:54:16Z |
| institution | BVB |
| language | English |
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| physical | III, 185 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Techn. Fak. der Univ. Bielefeld, Abt. Informationstechnik |
| record_format | marc |
| series | Forschungsberichte der Technischen Fakultät, Abteilung Informationstechnik |
| series2 | Forschungsberichte der Technischen Fakultät, Abteilung Informationstechnik |
| spelling | Ohlebusch, Enno Verfasser aut Modular properties of composable term rewriting systems von Enno Ohlebusch Bielefeld Techn. Fak. der Univ. Bielefeld, Abt. Informationstechnik 1994 III, 185 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Forschungsberichte der Technischen Fakultät, Abteilung Informationstechnik 1994,1 Zugl.: Bielefeld, Univ., Diss., 1994 Termersetzungssystem (DE-588)4117189-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Termersetzungssystem (DE-588)4117189-5 s DE-604 Forschungsberichte der Technischen Fakultät, Abteilung Informationstechnik 1994,1 (DE-604)BV010126111 1994,1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006724658&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ohlebusch, Enno Modular properties of composable term rewriting systems Forschungsberichte der Technischen Fakultät, Abteilung Informationstechnik Termersetzungssystem (DE-588)4117189-5 gnd |
| subject_GND | (DE-588)4117189-5 (DE-588)4113937-9 |
| title | Modular properties of composable term rewriting systems |
| title_auth | Modular properties of composable term rewriting systems |
| title_exact_search | Modular properties of composable term rewriting systems |
| title_full | Modular properties of composable term rewriting systems von Enno Ohlebusch |
| title_fullStr | Modular properties of composable term rewriting systems von Enno Ohlebusch |
| title_full_unstemmed | Modular properties of composable term rewriting systems von Enno Ohlebusch |
| title_short | Modular properties of composable term rewriting systems |
| title_sort | modular properties of composable term rewriting systems |
| topic | Termersetzungssystem (DE-588)4117189-5 gnd |
| topic_facet | Termersetzungssystem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006724658&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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