The efficiency of theorem proving strategies: a comparative and asymptotic analysis
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Braunschweig ; Wiesbaden
Vieweg
1999
|
| Ausgabe: | 2., rev. ed. |
| Schriftenreihe: | Computational intelligence
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 157 - 163 |
| Beschreibung: | VIII, 170 S. graph. Darst. 21 cm |
| ISBN: | 3528155744 |
Internformat
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| 100 | 1 | |a Plaisted, David A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The efficiency of theorem proving strategies |b a comparative and asymptotic analysis |c David A. Plaisted ; Yunshan Zhu |
| 250 | |a 2., rev. ed. | ||
| 264 | 1 | |a Braunschweig ; Wiesbaden |b Vieweg |c 1999 | |
| 300 | |a VIII, 170 S. |b graph. Darst. |c 21 cm | ||
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| 490 | 0 | |a Computational intelligence | |
| 500 | |a Literaturverz. S. 157 - 163 | ||
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CONTENTS
PREFACE
VII
1
THE
PROPOSITIONAL
COMPLEXITY
OF
FIRST-ORDER
THEOREM
PROVING
STRATEGIES
1
1.1
INTRODUCTION
.
1
1.2
FIRST
ORDER
LOGIC
AND
REFUTATIONAL
THEOREM
PROVING
.
.
7
1.3
SEARCH
SPACE
FORMALISM
.
8
1.4
MEASURES
OF
SEARCH
DUPLICATION
.
9
1.5
ANALYSIS
OF
DUPLICATION
FOR
VARIOUS
STRATEGIES
.
13
1.5.1
HARD
SETS
OF
CLAUSES
FOR
THE
STRATEGIES
.
16
1.5.2
HYPER-RESOLUTION
.
22
1.5.3
PI
DEDUCTION
.
23
1.5.4
A-ORDERING
.
24
1.5.5
IMPLICATIONS
FOR
TERM
REWRITING
.
27
1.5.6
PROOF
DAGS
.
28
1.5.7
OTHER
PROPERTIES
OF
CLAUSE
SETS
.
29
1.5.8
ALL-NEGATIVE
RESOLUTION
.
29
1.5.9
ALL-NEGATIVE
RESOLUTION
WITH
ORDERING
.
31
1.5.10
A-ORDERING
AND
PROOF
DAGS
.
40
1.5.11
SLD-RESOLUTION
.
49
1.5.12
SET
OF
SUPPORT
.
51
1.5.13
MODEL
ELIMINATION
.
52
1.5.14
LEMMAS
AND
CACHING
.
53
1.5.15
THE
MESON
STRATEGY
.
55
1.5.16
PROBLEM
REDUCTION
FORMATS
.
55
1.5.17
CLAUSE
LINKING
.
56
1.5.18
CONNECTION
CALCULI
.
56
1.5.19
CACHING
.
57
1.6
PREVENTING
UNIT
SIMPLIFICATIONS
.
57
1.7
ADDITIONAL
HARD
SETS
OF
CLAUSES
.
58
1.8
DISCUSSION
.
62
1.8.1
ADEQUACY
.
63
1.8.2
EXTENSIONS
.
64
2
THE
FIRST-ORDER
COMPLEXITY
OF
FIRST-ORDER
THEOREM
PROVING
STRATEGIES
67
2.1
INTRODUCTION
.
67
2.2
PROOF
COMPLEXITY
MEASURES
.
72
2.3
INHERENT
COMPLEXITIES
.
85
2.4
INFERENCE
BASED
MEASURES
.
87
2.4.1
RESOLUTION
BASED
METHODS
.
93
2.4.2
MODEL
ELIMINATION
.
98
2.5
THE
DUPLICATION
MEASURE
.
100
2.5.1
CLAUSE
LINKING
.
100
2.5.2
RESOLUTION
BASED
METHODS
.
119
2.5.3
BRITISH
MUSEUM
METHODS
.
123
2.5.4
OTHER
METHODS
.
125
2.6
THE
SUBTERM
SIZE
MEASURE
.
127
2.6.1
CLAUSE
LINKING
.
128
2.6.2
RESOLUTION
.
131
2.6.3
BRITISH
MUSEUM
METHODS
.
132
2.6.4
OTHER
METHODS
.
134
2.7
THE
LINEAR
SIZE
MEASURE
.
136
2.8
SETS
WITH
LARGE
LITERALS
.
138
2.9
UNIT
RESOLVABLE
CLAUSE
SETS
.
141
2.10
IMPLICATIONS
FOR
CHOICE
OF
STRATEGY
.
142
2.11
RELATIONS
AMONG
COMPLEXITY
MEASURES
.
148
2.12
CONCLUSIONS
AND
FUTURE
WORK
.
154
BIBLIOGRAPHY
157
INDEX
164 |
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| index_date | 2024-07-02T22:33:02Z |
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| institution | BVB |
| isbn | 3528155744 |
| language | English |
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| series2 | Computational intelligence |
| spelling | Plaisted, David A. Verfasser aut The efficiency of theorem proving strategies a comparative and asymptotic analysis David A. Plaisted ; Yunshan Zhu 2., rev. ed. Braunschweig ; Wiesbaden Vieweg 1999 VIII, 170 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Computational intelligence Literaturverz. S. 157 - 163 Automatisches Beweisverfahren (DE-588)4069034-9 gnd rswk-swf Automatisches Beweisverfahren (DE-588)4069034-9 s DE-604 Zhu, Yunshan Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016842121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Plaisted, David A. Zhu, Yunshan The efficiency of theorem proving strategies a comparative and asymptotic analysis Automatisches Beweisverfahren (DE-588)4069034-9 gnd |
| subject_GND | (DE-588)4069034-9 |
| title | The efficiency of theorem proving strategies a comparative and asymptotic analysis |
| title_auth | The efficiency of theorem proving strategies a comparative and asymptotic analysis |
| title_exact_search | The efficiency of theorem proving strategies a comparative and asymptotic analysis |
| title_exact_search_txtP | The efficiency of theorem proving strategies a comparative and asymptotic analysis |
| title_full | The efficiency of theorem proving strategies a comparative and asymptotic analysis David A. Plaisted ; Yunshan Zhu |
| title_fullStr | The efficiency of theorem proving strategies a comparative and asymptotic analysis David A. Plaisted ; Yunshan Zhu |
| title_full_unstemmed | The efficiency of theorem proving strategies a comparative and asymptotic analysis David A. Plaisted ; Yunshan Zhu |
| title_short | The efficiency of theorem proving strategies |
| title_sort | the efficiency of theorem proving strategies a comparative and asymptotic analysis |
| title_sub | a comparative and asymptotic analysis |
| topic | Automatisches Beweisverfahren (DE-588)4069034-9 gnd |
| topic_facet | Automatisches Beweisverfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016842121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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