Theory reasoning in connection calculi:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1998
|
| Series: | Lecture notes in computer science
1527 : Lecture notes in artificial intelligence |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 283 S. graph. Darst. |
| ISBN: | 3540655093 |
Staff View
MARC
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| 100 | 1 | |a Baumgartner, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Theory reasoning in connection calculi |c Peter Baumgartner |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1998 | |
| 300 | |a IX, 283 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in computer science |v 1527 : Lecture notes in artificial intelligence | |
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Record in the Search Index
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| adam_text |
CONTENTS
1.
INTRODUCTION
.
1
1.1
THEORY
REASONING:
MOTIVATION
.
1
1.2
HISTORICAL
NOTES
.
5
1.3
FURTHER
READING
.
8
1.4
OVERVIEW
AND
CONTRIBUTIONS
OF
THIS
BOOK
.
9
2.
LOGICAL
BACKGROUND
.
15
2.1
PRELIMINARIES
.
15
2.2
SYNTAX
OF
FIRST-ORDER
LOGIC
.
17
2.3
SEMANTICS
OF
FIRST-ORDER
LOGIC
.
20
2.4
CLAUSE
LOGIC
.
27
2.4.1
TRANSFORMATION
INTO
CLAUSE
LOGIC
.
27
2.4.2
HERBRAND
INTERPRETATIONS
.
30
2.4.3
UNIFICATION
.
34
2.5
THEORIES
.
36
2.5.1
SAMPLE
THEORIES
.
38
2.5.2
PROPERTIES
OF
THEORIES
.
41
2.5.3
UNIVERSAL
THEORIES
AND
HERBRAND
THEORY
INTERPRETATIONS
44
3.
TABLEAU
MODEL
ELIMINATION
.
49
3.1
CLAUSAL
TABLEAUX
.
49
3.2
INFERENCE
RULES
AND
DERIVATIONS
.
52
3.2.1
ANSWERS
.
57
3.2.2
CLAUSAL
TABLEAUX
VS.
BRANCH
SETS
.
58
3.3
IMPROVEMENTS
.
60
3.3.1
INDEPENDENCE
OF
THE
COMPUTATION
RULE
.
60
3.3.2
REGULARITY
.
61
3.3.3
FACTORIZATION
.
62
3.3.4
REDUCTION
STEPS
.
63
4.
THEORY
REASONING
IN
CONNECTION
CALCULI
.
65
4.1
BASICS
OF
THEORY
REASONING
.
65
4.1.1
TOTAL
AND
PARTIAL
THEORY
REASONING
.
68
4.1.2
INSTANCES
OF
THEORY
REASONING
.
72
VIII
CONTENTS
4.2
A
TOTAL
THEORY
CONNECTION
CALCULUS
.
80
4.2.1
THEORY
REFUTING
SUBSTITUTIONS
.
81
4.2.2
DEFINITION
OF
A
TOTAL
THEORY
CONNECTION
CALCULUS
.
85
4.2.3
SOUNDNESS
OF
TTCC
.
89
4.3
THEORY
MODEL
ELIMINATION
-
SEMANTICAL
VERSION
.
90
4.3.1
MOTIVATION
.
90
4.3.2
DEFINITION
OF
THEORY
MODEL
ELIMINATION
.
92
4.3.3
RELATION
TO
TTCC-LINK
.
95
4.4
TOTAL
THEORY
MODEL
ELIMINATION
-
MSR-VERSION
.
101
4.4.1
COMPLETE
AND
MOST
GENERAL
SETS
OF
T-REFUTERS
.
102
4.4.2
DEFINITION
OF
TTME-MSR
.
106
4.4.3
SOUNDNESS
AND
ANSWER
COMPLETENESS
OF
TTME-MSR
.
109
4.4.4
RELATED
WORK
.
112
4.4.5
A
SAMPLE
APPLICATION:
TERMINOLOGICAL
REASONING
.
113
4.5
PARTIAL
THEORY
MODEL
ELIMINATION
-
INFERENCE
SYSTEMS
VERSION
115
4.5.1
THEORY
INFERENCE
SYSTEMS
.
118
4.5.2
DEFINITION
OF
PTME-I
.
120
4.5.3
SOUNDNESS
AND
ANSWER
COMPLETENESS
.
123
4.5.4
AN
APPLICATION:
GENERALIZED
MODEL
ELIMINATION
.
128
4.6
RESTART
THEORY
MODEL
ELIMINATION
.
129
4.6.1
DEFINITION
OF
RESTART
THEORY
MODEL
ELIMINATION
.
130
4.6.2
SOUNDNESS
AND
ANSWER
COMPLETENESS
.
135
4.6.3
REGULARITY
AND
FIRST-ORDER
COMPLETENESS
.
137
OTHER
REFINEMENTS
.
139
5.
LINEARIZING
COMPLETION
.
141
5.1
INTRODUCTION
.
142
5.1.1
LINEARIZING
COMPLETION
AND
THEORY
REASONING
.
142
5.1.2
RELATED
WORK
.
143
5.1.3
RELATION
TO
KNUTH-BENDIX
COMPLETION
.
147
5.1.4
INFORMAL
DESCRIPTION
OF
THE
METHOD
.
148
5.1.5
LINEARIZING
COMPLETION
AND
RESOLUTION
VARIANTS
.
153
5.1.6
PRELIMINARIES
.
157
5.2
INFERENCE
SYSTEMS
.
157
5.2.1
INITIAL
INFERENCE
SYSTEMS
.
160
5.2.2
COMPLETENESS
OF
INITIAL
INFERENCE
SYSTEMS
.
162
5.2.3
SUBDERIVATIONS
.
163
5.3
ORDERINGS
AND
REDUNDANCY
.
165
5.3.1
ORDERINGS
ON
NESTED
MULTISETS
WITH
WEIGHT
.
165
5.3.2
DERIVATION
ORDERINGS
.
167
5.3.3
REDUNDANCY
.
168
5.4
TRANSFORMATION
SYSTEMS
.
171
5.4.1
LIMIT
INFERENCE
SYSTEMS
.
174
5.4.2
FAIRNESS
AND
COMPLETION
.
175
5.5
COMPLEXITY-REDUCING
TRANSFORMATION
SYSTEMS
.
177
CONTENTS
IX
5.6
COMPLETENESS
.
180
5.6.1
GROUND
COMPLETENESS
.
181
5.6.2
THE
LINK
TO
THEORY
MODEL
ELIMINATION
.
183
5.6.3
FIRST-ORDER
COMPLETENESS
.
185
5.7
SAMPLE
THEORIES
.
186
5.7.1
EQUALITY
AND
PARAMODULATION
.
186
5.7.2
EQUALITY
PLUS
STRICT
ORDERINGS
.
189
5.7.3
MODAL
LOGICS
.
190
6.
IMPLEMENTATION
.
193
6.0.4
SCAN-IT
.
193
6.0.5
LC
.
194
6.1
PROTEIN
.
195
6.1.1
HIGH
INFERENCE
RATE
BASED
THEOREM
PROVING
.
195
6.1.2
THE
PTTP
IMPLEMENTATION
TECHNIQUE
.
196
6.2
PRACTICAL
EXPERIMENTS
.
200
7.
CONCLUSIONS
.
207
A.
APPENDIX:
PROOFS
.
211
A.L
PROOFS
FOR
CHAPTER
4
-
THEORY
REASONING
.
211
A.
1.1
COMPLETENESS
OF
TTME-MSR
.
215
A.
1.2
GROUND
COMPLETENESS
OF
PTME-I
.
235
A.
2
PROOFS
FOR
CHAPTER
5
-
LINEARIZING
COMPLETION
.
239
A.
2.1
SECTION
5.2
-
INFERENCE
SYSTEMS
.
239
A.
2.2
SECTION
5.3
-
ORDERINGS
AND
REDUNDANCY
.
241
A.
2.3
SECTION
5.4
-
TRANSFORMATION
SYSTEMS
.
246
A.
2.4
SECTION
5.5
-
COMPLEXITY-REDUCING
TRANSFORMATION
SYSTEMS
.
250
A.
2.5
SECTION
5.6
-
COMPLETENESS
.
257
B.
WHAT
IS
WHERE?
.
263
LIST
OF
FIGURES
.
267
BIBLIOGRAPHY
.
269
INDEX
.
281 |
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| isbn | 3540655093 |
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| spelling | Baumgartner, Peter Verfasser aut Theory reasoning in connection calculi Peter Baumgartner Berlin [u.a.] Springer 1998 IX, 283 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in computer science 1527 : Lecture notes in artificial intelligence Konnektionsmethode (DE-588)4389325-9 gnd rswk-swf Automatisches Beweisverfahren (DE-588)4069034-9 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Automatisches Beweisverfahren (DE-588)4069034-9 s Konnektionsmethode (DE-588)4389325-9 s DE-604 Lecture notes in computer science 1527 : Lecture notes in artificial intelligence (DE-604)BV000000607 1527 : Lecture DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008359932&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baumgartner, Peter Theory reasoning in connection calculi Lecture notes in computer science Konnektionsmethode (DE-588)4389325-9 gnd Automatisches Beweisverfahren (DE-588)4069034-9 gnd |
| subject_GND | (DE-588)4389325-9 (DE-588)4069034-9 (DE-588)1071861417 |
| title | Theory reasoning in connection calculi |
| title_auth | Theory reasoning in connection calculi |
| title_exact_search | Theory reasoning in connection calculi |
| title_full | Theory reasoning in connection calculi Peter Baumgartner |
| title_fullStr | Theory reasoning in connection calculi Peter Baumgartner |
| title_full_unstemmed | Theory reasoning in connection calculi Peter Baumgartner |
| title_short | Theory reasoning in connection calculi |
| title_sort | theory reasoning in connection calculi |
| topic | Konnektionsmethode (DE-588)4389325-9 gnd Automatisches Beweisverfahren (DE-588)4069034-9 gnd |
| topic_facet | Konnektionsmethode Automatisches Beweisverfahren Konferenzschrift |
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