Cooperation in heterogeneous theorem prover networks:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Akad. Verl.-Ges. Aka
2000
|
| Series: | Dissertationen zur künstlichen Intelligenz
231 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Kaiserslautern, Univ., Diss., 2000. |
| Physical Description: | XIV, 262 S. 21 cm |
| ISBN: | 3898382311 |
Staff View
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| 100 | 1 | |a Fuchs, Dirk |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Cooperation in heterogeneous theorem prover networks |c Dirk Fuchs |
| 264 | 1 | |a Berlin |b Akad. Verl.-Ges. Aka |c 2000 | |
| 300 | |a XIV, 262 S. |b 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Dissertationen zur künstlichen Intelligenz |v 231 | |
| 500 | |a Zugl.: Kaiserslautern, Univ., Diss., 2000. | ||
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Record in the Search Index
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| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
MOTIVATION
.
1
1.2
OVERVIEW
OF
THE
THESIS
.
3
2
THEOREM
PROVING
IN
FIRST-ORDER
CLAUSE
LOGIC
5
2.1
FIRST-ORDER
CLAUSE
LOGIC
.
5
2.1.1
SYNTAX
OF
FIRST-ORDER
LOGIC
.
5
2.1.2
SEMANTICS
OF
FIRST-ORDER
LOGIC
.
8
2.1.3
SUBSTITUTION
AND
TERM
REPLACEMENT
.
12
2.2
DEDUCTION
WITH
SATURATION-BASED
CALCULI
.
13
2.2.1
CALCULUS
.
13
2.2.2
PROOF
SEARCH
.
14
2.3
DEDUCTION
WITH
ANALYTICAL
CALCULI
.
18
2.3.1
CALCULUS
.
18
2.3.2
PROOF
SEARCH
.
23
2.4
THE
SUPERPOSITION
CALCULUS
.
27
2.5
THE
CONNECTION
TABLEAU
CALCULUS
.
33
3
PARALLEL
AND
COOPERATIVE
DEDUCTION
45
3.1
PARALLEL
THEOREM
PROVING
.
46
3.2
COOPERATIVE
THEOREM
PROVING
.
48
3.2.1
ARCHITECTURES
OF
COOPERATIVE
SYSTEMS
.
48
3.2.2
KINDS
OF
COOPERATION
.
50
3.2.3
CLASSIFICATION
OF
EXISTING
COOPERATION
APPROACHES
.
51
3.3
A
NOVEL
COOPERATION
APPROACH
.
54
3.3.1
REQUIREMENTS
FOR
A
NOVEL
COOPERATION
APPROACH
.
54
3.3.2
SURVEY
OF
A
NOVEL
COOPERATION
APPROACH
.
55
4
A
FRAMEWORK
FOR
COOPERATIVE
HETEROGENEOUS
THEOREM
PROVING
57
4.1
ARCHITECTURE
AND
BEHAVIOR
OF
A
TEAM
OF
COOPERATIVE
PROVERS
.
57
4.1.1
ARCHITECTURE
.
58
4.1.2
BEHAVIOR
.
61
4.2
ARCHITECTURE
OF
A
COOPERATIVE
PROVER
.
65
4.3
OFFER-BASED
EXCHANGE
OF
CLAUSES
.
67
4.3.1
PRINCIPLES
OF
AN
OFFER-BASED
CLAUSE
EXCHANGE
.
68
4.3.2
EXTRACTION
OF
CLAUSES
.
69
4.3.3
CLAUSE
SELECTION
BY
REFEREES
.
70
4.3.4
INTEGRATION
OF
CLAUSES
.
74
4.4
REQUEST-BASED
EXCHANGE
OF
CLAUSES
.
87
4.4.1
PRINCIPLES
OF
A
REQUEST-BASED
CLAUSE
EXCHANGE
.
87
4.4.2
GENERATION
OF
REQUEST
CLAUSES
AND
RESPONSE
SETS
.
91
4.5
EXCHANGING
NEGATIVE
INFORMATION
.
92
4.5.1
PRINCIPLES
OF
EXCHANGING
NEGATIVE
INFORMATION
.
93
4.5.2
GENERATION
OF
BRANCH
FAILURE
PATTERNS
AND
SEARCH
SPACE
EXPAND
ING
CLAUSES
.
96
4.5.3
MODIFICATION
OF
PROOF
CONTROL
.
97
4.6
COMMUNICATION
LANGUAGE
.
108
4.7
DISCUSSION
AND
COMPARISON
WITH
RELATED
APPROACHES
.
109
5
COMBINING
SUPERPOSITION
PROVERS
WITH
LOOSELY
COUPLED
HEURISTICS
113
5.1
STRONGLY
FAIR
HEURISTICS
.
114
5.2
REALIZATION
OF
REFEREES
.
116
5.2.1
JUDGMENT
FUNCTIONS
FOR
SEND-REFEREES
.
117
5.2.2
JUDGMENT
FUNCTIONS
FOR
RECEIVE-REFEREES
.
121
5.3
COMPUTATION
OF
REQUEST
CLAUSES
AND
RESPONSE
SETS
.
123
5.3.1
DESCENDANT-BASED
REQUESTS
AND
RESPONSES
.
123
5.3.2
CONTRACTION-BASED
REQUESTS
AND
RESPONSES
.
126
5.4
EXCHANGE
OF
SEARCH
SPACE
EXPANDING
CLAUSES
.
127
5.4.1
IDENTIFICATION
OF
SEARCH
SPACE
EXPANDING
CLAUSES
.
128
5.4.2
CLAUSE
SCHEMATA
FOR
GENERALIZING
NEGATIVE
INFORMATION
.
129
5.5
COMPATIBILITY
OF
THE
COOPERATION
CONCEPTS
.
132
5.6
EXPERIMENTAL
STUDY
.
133
5.6.1
AIMS
AND
EXPERIMENTAL
SETTING
.
133
5.6.2
EXPERIMENTAL
RESULTS
.
135
5.7
DISCUSSION
AND
RELATED
WORK
.
138
6
COUPLING
PROOF
PROCEDURES
FOR
THE
CONNECTION
TABLEAU
CALCULUS
141
6.1
GOAL
LIFT-UP
.
142
6.1.1
CLAUSE
EXTRACTION
AND
INTEGRATION
.
142
6.1.2
REDUCTION
OF
THE
PROOF
SEARCH
.
149
6.1.3
SELECTION
OF
SUBGOAL
CLAUSES
.
163
6.2
ITERATED
GOAL
LIFT-UP
.
167
6.2.1
COMPUTATION
OF
REQUEST
CLAUSES
AND
RESPONSE
SETS
.
168
6.2.2
REDUCTION
OF
THE
PROOF
SEARCH
.
170
6.3
SUBGOAL
FAILURE
PATTERNS
.
172
6.3.1
DECREASING
REDUNDANCY
BY
PROCESSING
SUBGOAL
FAILURE
PATTERNS
173
6.3.2
PROPERTIES
OF
SUBGOAL
FAILURE
PATTERNS
.
175
6.3.3
GENERATION
OF
SUBGOAL
FAILURE
PATTERNS
.
179
6.4
COMPATIBILITY
OF
THE
COOPERATION
CONCEPTS
.
190
6.4.1
PRESERVATION
OF
THE
CORRECTNESS
PROPERTY
.
191
6.4.2
AN
ARCHITECTURE
FOR
THE
SIMULTANEOUS
EXCHANGE
OF
POSITIVE
AND
NEGATIVE
INFORMATION
.
191
6.5
EXPERIMENTAL
STUDY
.
192
6.5.1
AIMS
AND
EXPERIMENTAL
SETTING
.
193
6.5.2
EXPERIMENTED
RESULTS
.
196
6.6
DISCUSSION
AND
RELATED
WORK
.
204
7
COOPERATION
BETWEEN
SUPERPOSITION
AND
CONNECTION
TABLEAU
CALCULI207
7.1
LEMMA
AND
SUBGOAL
CLAUSE
TRANSFER
.
208
7.1.1
INTEGRATION
OF
TOP-DOWN
AND
BOTTOM-UP
REASONING
.
208
7.1.2
REDUCTION
OF
THE
PROOF
SEARCH
THROUGH
SUBGOAL
CLAUSES
.
210
7.1.3
EXTRACTION
AND
SELECTION
OF
SUBGOAL
CLAUSES
.
211
7.1.4
REDUCTION
OF
THE
PROOF
SEARCH
THROUGH
LEMMAS
.
216
7.1.5
SELECTION
OF
LEMMAS
.
218
7.2
REQUEST-BASED
GOAL
TRANSFORMATION
.
222
7.2.1
SUPERPOSITION-BASED
SUBGOAL
CLAUSE
TRANSFORMATION
.
222
7.2.2
CONNECTION-TABLEAU-BASED
GOAL
TRANSFORMATION
.
224
7.3
PROCESSING
SEARCH
SPACE
EXPANDING
CLAUSES
.
225
7.4
COMPATIBILITY
OF
THE
COOPERATION
CONCEPTS
.
228
7.5
EXPERIMENTAL
STUDY
.
229
7.5.1
AIMS
AND
EXPERIMENTAL
SETTING
.
229
7.5.2
EXPERIMENTAL
RESULTS
.
230
7.6
DISCUSSION
AND
RELATED
WORK
.
235
8
INTEGRATION
OF
EQUATIONAL
PROVERS
INTO
A
COOPERATIVE
TEAM
237
8.1
INITIALIZATION
OF
HETEROGENEOUS
TEAMS
.
237
8.1.1
REALIZATION
OF
PROBLEM
DIVISION
COMPONENTS
.
238
8.1.2
COMPLETENESS
ASPECTS
.
239
8.2
ADAPTATION
OF
COOPERATION
CONCEPTS
.
241
8.3
EXPERIMENTAL
STUDY
.
242
8.3.1
AIMS
AND
EXPERIMENTAL
SETTING
.
242
8.3.2
EXPERIMENTAL
RESULTS
.
243
8.4
DISCUSSION
AND
RELATED
WORK
.
246
9
CONCLUSION
BIBLIOGRAPHY
247
251 |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013116642 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-17T00:47:33Z |
| institution | BVB |
| isbn | 3898382311 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008936654 |
| oclc_num | 48457300 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-29T |
| owner_facet | DE-91G DE-BY-TUM DE-29T |
| physical | XIV, 262 S. 21 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Akad. Verl.-Ges. Aka |
| record_format | marc |
| series | Dissertationen zur künstlichen Intelligenz |
| series2 | Dissertationen zur künstlichen Intelligenz |
| spelling | Fuchs, Dirk Verfasser aut Cooperation in heterogeneous theorem prover networks Dirk Fuchs Berlin Akad. Verl.-Ges. Aka 2000 XIV, 262 S. 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertationen zur künstlichen Intelligenz 231 Zugl.: Kaiserslautern, Univ., Diss., 2000. Klausellogik (DE-588)4293051-0 gnd rswk-swf Automatisches Beweisverfahren (DE-588)4069034-9 gnd rswk-swf Gleichungstheorie (DE-588)4226572-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Automatisches Beweisverfahren (DE-588)4069034-9 s Klausellogik (DE-588)4293051-0 s Gleichungstheorie (DE-588)4226572-1 s DE-604 Dissertationen zur künstlichen Intelligenz 231 (DE-604)BV005345280 231 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008936654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fuchs, Dirk Cooperation in heterogeneous theorem prover networks Dissertationen zur künstlichen Intelligenz Klausellogik (DE-588)4293051-0 gnd Automatisches Beweisverfahren (DE-588)4069034-9 gnd Gleichungstheorie (DE-588)4226572-1 gnd |
| subject_GND | (DE-588)4293051-0 (DE-588)4069034-9 (DE-588)4226572-1 (DE-588)4113937-9 |
| title | Cooperation in heterogeneous theorem prover networks |
| title_auth | Cooperation in heterogeneous theorem prover networks |
| title_exact_search | Cooperation in heterogeneous theorem prover networks |
| title_full | Cooperation in heterogeneous theorem prover networks Dirk Fuchs |
| title_fullStr | Cooperation in heterogeneous theorem prover networks Dirk Fuchs |
| title_full_unstemmed | Cooperation in heterogeneous theorem prover networks Dirk Fuchs |
| title_short | Cooperation in heterogeneous theorem prover networks |
| title_sort | cooperation in heterogeneous theorem prover networks |
| topic | Klausellogik (DE-588)4293051-0 gnd Automatisches Beweisverfahren (DE-588)4069034-9 gnd Gleichungstheorie (DE-588)4226572-1 gnd |
| topic_facet | Klausellogik Automatisches Beweisverfahren Gleichungstheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008936654&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005345280 |
| work_keys_str_mv | AT fuchsdirk cooperationinheterogeneoustheoremprovernetworks |