Computational aspects of a first-order logic with sorts:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Saarbrücken, Univ., Diss., 1996 |
| Beschreibung: | XIII, 183 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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| adam_text |
CONTENTS
ACKNOWLEDGMENTS
.
V
ZUSAMMENFASSUNG
(GERMAN
SUMMARY)
.
VII
1.
INTRODUCTION
1
1.1
MOTIVATION
AND
GENERAL
OUTLINE
.
1
1.2
STRUCTURE
OF
THE
WORK
.
3
2.
FOUNDATIONS
5
2.1
BASIC
NOTATION
AND
NOTIONS
.
5
2.2
PRELIMINARIES
.
6
2.3
SYNTAX
.
6
2.4
SEMANTICS
.
9
2.5
STANDARD
UNIFICATION
.
11
2.6
RESOLUTION-BASED
FIRST-ORDER
CALCULI
.
15
2.7
TABLEAU-BASED
FIRST-ORDER
CALCULI
.
19
2.8
SORT
THEORIES
.
23
3.
SORTED
UNIFICATION
29
3.1
INTRODUCTION
.
29
3.2
SORTED
UNIFICATION
.
31
3.3
GENERAL
COMPLEXITY
RESULTS
ON
SORTED
UNIFICATION
.
37
3.4
UNIFICATION
IN
WEAK-ELEMENTARY
SORT
THEORIES
.
44
3.5
UNIFICATION
IN
PSEUDO-LINEAR
SORT
THEORIES
.
49
3.6
FLAT,
GROUND
AND
ORDERED
SORT
THEORIES
.
61
3.7
UNIFICATION
IN
RIGID
SORT
THEORIES
.
65
4.
RELATED
WORK
69
4.1
ORDER-SORTED
UNIFICATION
.
69
4.2
RELATIVIZATION
OF
SORTED
UNIFICATION
.
72
4.3
FINITE
BOTTOM-UP
TREE
AUTOMATA
.
74
4.4
HORN
THEORIES
.
89
4.5
MEMBERSHIP
AND
SET
CONSTRAINTS
.
92
4.6
OTHERS
.
94
IV
CONTENTS
4.7
SUMMARY
.
95
5.
TABLEAUX
WITH
SORTS
97
5.1
INTRODUCTION
.
97
5.2
SEMANTIC
TABLEAUX
WITH
SORTS
.
99
5.3
FREE
VARIABLE
TABLEAUX
WITH
SORTS
.
105
5.4
DISCUSSION
.
109
6.
SUPERPOSITION
WITH
SORTS
111
6.1
INTRODUCTION
.
ILL
6.2
PRELIMINARIES
.
115
6.3
ORDERED
INFERENCE
RULES
WITH
SORT
CONSTRAINTS
.
116
6.4
RULES
FOR
SORT
CONSTRAINTS
.
118
6.5
EXTRA
INFERENCE
RULES
.
120
6.6
REDUCTION
AND
SIMPLIFICATION
RULES
.
121
6.7
SOUNDNESS
AND
COMPLETENESS
.
124
6.8
DISCUSSION
.
128
7.
EXPERIMENTS
131
7.1
INTRODUCTION
.
131
7.2
PRELIMINARIES
.
133
7.3
SMALL
EXAMPLES
.
133
7.4
MULTI-MODAL
PROPOSITIONAL
LOGICS
.
139
7.5
SCALABLE
PROBLEMS
.
142
7.6
EXAMPLES
RESULTING
FROM
SOFTWARE
VERIFICATION
.
149
8.
SUMMARY
AND
FUTURE
WORK
153
BIBLIOGRAPHY
.
157
REFERENCES
157
INDEX
.
175 |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV011996843 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:27:29Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008118923 |
| oclc_num | 633494784 |
| open_access_boolean | |
| owner | DE-739 |
| owner_facet | DE-739 |
| physical | XIII, 183 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
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| spelling | Weidenbach, Christoph Verfasser aut Computational aspects of a first-order logic with sorts von Christoph Weidenbach 1996 XIII, 183 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Saarbrücken, Univ., Diss., 1996 Automatisches Beweisverfahren (DE-588)4069034-9 gnd rswk-swf Stufe 1 (DE-588)4362503-4 gnd rswk-swf Prädikatenlogik (DE-588)4046974-8 gnd rswk-swf Sortierte Logik (DE-588)4382847-4 gnd rswk-swf Unifikationstheorie (DE-588)4186894-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Automatisches Beweisverfahren (DE-588)4069034-9 s Prädikatenlogik (DE-588)4046974-8 s Stufe 1 (DE-588)4362503-4 s Sortierte Logik (DE-588)4382847-4 s Unifikationstheorie (DE-588)4186894-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008118923&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weidenbach, Christoph Computational aspects of a first-order logic with sorts Automatisches Beweisverfahren (DE-588)4069034-9 gnd Stufe 1 (DE-588)4362503-4 gnd Prädikatenlogik (DE-588)4046974-8 gnd Sortierte Logik (DE-588)4382847-4 gnd Unifikationstheorie (DE-588)4186894-8 gnd |
| subject_GND | (DE-588)4069034-9 (DE-588)4362503-4 (DE-588)4046974-8 (DE-588)4382847-4 (DE-588)4186894-8 (DE-588)4113937-9 |
| title | Computational aspects of a first-order logic with sorts |
| title_auth | Computational aspects of a first-order logic with sorts |
| title_exact_search | Computational aspects of a first-order logic with sorts |
| title_full | Computational aspects of a first-order logic with sorts von Christoph Weidenbach |
| title_fullStr | Computational aspects of a first-order logic with sorts von Christoph Weidenbach |
| title_full_unstemmed | Computational aspects of a first-order logic with sorts von Christoph Weidenbach |
| title_short | Computational aspects of a first-order logic with sorts |
| title_sort | computational aspects of a first order logic with sorts |
| topic | Automatisches Beweisverfahren (DE-588)4069034-9 gnd Stufe 1 (DE-588)4362503-4 gnd Prädikatenlogik (DE-588)4046974-8 gnd Sortierte Logik (DE-588)4382847-4 gnd Unifikationstheorie (DE-588)4186894-8 gnd |
| topic_facet | Automatisches Beweisverfahren Stufe 1 Prädikatenlogik Sortierte Logik Unifikationstheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008118923&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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