A tactic based inductive theorem prover for data types with partial operations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Akad. Verl.-Ges. Aka
2000
|
| Schriftenreihe: | Dissertationen zur künstlichen Intelligenz
238 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Kaiserslautern, Univ., Diss., 1999 |
| Beschreibung: | XIV, 261 S. 21 cm |
| ISBN: | 3898382389 |
Internformat
MARC
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| 003 | DE-604 | ||
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| 020 | |a 3898382389 |c kart. : DM 60.00 (freier Pr.), sfr 54.50 (freier Pr.), S 438.00 (freier Pr.) |9 3-89838-238-9 | ||
| 035 | |a (OCoLC)48478500 | ||
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| 044 | |a gw |c DE | ||
| 049 | |a DE-91G |a DE-29T | ||
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| 100 | 1 | |a Kühler, Ulrich |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A tactic based inductive theorem prover for data types with partial operations |c Ulrich Kühler |
| 264 | 1 | |a Berlin |b Akad. Verl.-Ges. Aka |c 2000 | |
| 300 | |a XIV, 261 S. |b 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Dissertationen zur künstlichen Intelligenz |v 238 | |
| 500 | |a Zugl.: Kaiserslautern, Univ., Diss., 1999 | ||
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 830 | 0 | |a Dissertationen zur künstlichen Intelligenz |v 238 |w (DE-604)BV005345280 |9 238 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009000575&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805068471016357888 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
AND
OVERVIEW
1
I
A
FORMAL
FRAMEWORK
FOR
INDUCTIVE
THEOREM
PROVING
3
2
PRELIMINARIES
5
2.1
OVERVIEW
OF
THE
FORMAL
FRAMEWORK
.
5
2.2
REQUIREMENTS
FOR
THE
FORMAL
FRAMEWORK
.
7
2.2.1
THE
SPECIFICATION
LANGUAGE
.
7
2.2.2
THE
INDUCTION
ORDER
.
9
2.2.3
INFERENCE
RULES
.
10
2.2.4
REPRESENTATION
OF
PROOF
CONSTRUCTIONS
.
13
2.3
AN
EXAMPLE
OF
A
PROOF
CONSTRUCTION
.
14
2.4
BASIC
NOTIONS
AND
NOTATIONS
.
16
3
THE
SPECIFICATION
LANGUAGE
19
3.1
SPECIFICATIONS
WITH
CONSTRUCTORS
.
19
3.1.1
SYNTAX
OF
SPECIFICATIONS
WITH
CONSTRUCTORS
.
20
3.1.2
MODEL
SEMANTICS
OF
SPECIFICATIONS
WITH
CONSTRUCTORS
.
21
3.1.3
DATA
MODELS
.
23
3.2
ADMISSIBILITY
CONDITIONS
.
24
3.2.1
POSITIVE/NEGATIVE
CONDITIONAL
REWRITE
SPECIFICATIONS
.
24
3.2.2
THE
STANDARD
DATA
MODEL
AD
(SPEC)
.
27
3.3
A
CONFLUENCE
CRITERION
.
28
3.4
INDUCTIVE
VALIDITY
.
31
4
THE
INDUCTION
ORDER
33
XII
CONTENTS
4.1
^-COUNTEREXAMPLES
AND
INFERENCE
RULES
.
33
4.2
WEIGHTS
AND
THE
SEMANTIC
INDUCTION
ORDER
.
36
4.3
CLAUSES
WITH
ORDER
LITERALS
.
39
5
INFERENCE
RULES
43
5.1
PRELIMINARIES
.
44
5.2
NON-APPLICATIVE
INFERENCE
RULES
.
45
5.2.1
ESTABLISHING
SIMPLE
TAUTOLOGIES
.
45
5.2.2
DECOMPOSING
ATOMS
.
46
5.2.3
REMOVING
REDUNDANT
LITERALS
.
50
5.2.4
MAKING
USE
OF
NEGATIVE
LITERALS
.
52
5.2.5
FURTHER
INFERENCE
RULES
FOR
ORDER
ATOMS
.
53
5.2.6
NON-APPLICATIVE
CASE
ANALYSES
.
56
5.3
APPLICATIVE
INFERENCE
RULES
.
57
5.3.1
NON-INDUCTIVE
APPLICATIVE
INFERENCE
RULES
.
58
5.3.2
INDUCTIVE
APPLICATIVE
INFERENCE
RULES
.
63
5.4
CONCLUDING
REMARKS
.
64
6
PROOF
STATE
GRAPHS
67
6.1
REPRESENTING
PROOF
CONSTRUCTIONS
.
67
6.2
SOUNDNESS
RESULTS
.
76
6.2.1
SOUNDNESS
.
76
6.2.2
REFUTATIONAL
SOUNDNESS
.
78
6.3
CONCLUDING
REMARKS
.
80
II
THE
INDUCTIVE
THEOREM
PROVER
Q
UOD
L
IBET
83
7
AN
INTRODUCTION
TO
Q
UOD
L
IBET
85
7.1
REQUIREMENTS
.
86
7.2
THE
SYSTEM
STRUCTURE
.
89
7.3
THE
COMMAND
LANGUAGE
.
91
7.3.1
COMMANDS
FOR
FORMALIZING
DATA
TYPES
.
92
7.3.2
COMMANDS
FOR
CONSTRUCTING
PROOF
STATE
TREES
.
96
7.3.3
MISCELLANEOUS
COMMANDS
.
102
CONTENTS
XIII
7.3.4
AN
EXAMPLE
OF
AN
INTERACTIVE
PROOF
CONSTRUCTION
.
103
7.4
THE
GRAPHICAL
USER
INTERFACE
.
113
7.5
CONCLUDING
REMARKS
.
119
8
TACTIC-BASED
PROOF
CONTROL
IN
Q
UOD
L
IBET
121
8.1
THE
OVERALL
IDEA
.
122
8.2
THE
PROOF
CONTROL
LANGUAGE
QML
.
126
8.2.1
ESSENTIALS
OF
QML
.
126
8.2.2
COMMANDS
RELATED
TO
QML
.
136
8.3 QML
ROUTINES
PROVIDED
BY
Q
UOD
L
IBET
.
140
8.3.1
THE
PROOF
CONTROL
DATA
BASE
.
141
8.3.2
SIMPLIFYING
CLAUSES
IN
GOALS
.
154
8.3.3
CONSTRUCTING
INDUCTIVE
CASE
ANALYSES
.
.
160
8.3.4
INDUCTIVE
PROOF
STRATEGIES
.
166
8.4
CONCLUDING
REMARKS
.
172
9
CONCLUSION
173
A
THE
PROOFS
175
B
SYNTAX
OF
THE
COMMAND
LANGUAGE
OF
Q
UOD
L
IBET
197
C
THE
INFERENCE
RULES
OF
Q
UOD
L
IBET
205
C.L
NON-APPLICATIVE
INFERENCE
RULES
.
206
C.L.L
ESTABLISHING
SIMPLE
TAUTOLOGIES
.
206
C.L.
2
DECOMPOSING
ATOMS
.
206
C.L.
3
REMOVING
REDUNDANT
LITERALS
.
207
C.L.
4
MAKING
USE
OF
NEGATIVE
LITERALS
.
208
C.L.
5
FURTHER
INFERENCE
RULES
FOR
ORDER
ATOMS
.
209
C.1.6
NON-APPLICATIVE
CASE
ANALYSES
.
210
C.2
APPLICATIVE
INFERENCE
RULES
.
211
C.2.1
NON-INDUCTIVE
APPLICATIVE
INFERENCE
RULES
.
211
C.2.2
INDUCTIVE
APPLICATIVE
INFERENCE
RULES
.
212
D
SYNTAX
OF
QML 215
XIV
CONTENTS
E
EXAMPLES
OF
PROOF
CONSTRUCTIONS
221
E.L
TYUTH
VALUES
AND
NATURAL
NUMBERS
.
221
E.L.L
BASIC
DEFINITIONS
.
221
E.L.
2
ADDITION
AND
MULTIPLICATION
.
225
E.L.
3
(PARTIAL)
SUBTRACTION
AND
DIVISION
.
229
E.L.
4
ACKERMANN
'
S
FUNCTION
.
231
E.L.
5
A
NON-TERMINATING
OPERATION
.
232
E.2
LISTS
OF
NATURAL
NUMBERS
.
234
E.2.1
BASIC
DEFINITIONS
.
234
E.2.2
SOME
OPERATIONS
ON
LISTS
.
234
E.2.3
MERGESORT
.
238
E.3
BINARY
TREES
WITH
NATURAL
NUMBERS
.
244
E.3.1
BASIC
DEFINITIONS
.
244
E.3.2
SEARCH
TREES
.
244
E.3.3
A
FLATTEN
OPERATION
.
247
BIBLIOGRAPHY
251 |
| any_adam_object | 1 |
| author | Kühler, Ulrich |
| author_facet | Kühler, Ulrich |
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| author_sort | Kühler, Ulrich |
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| id | DE-604.BV013210121 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T03:50:38Z |
| institution | BVB |
| isbn | 3898382389 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009000575 |
| oclc_num | 48478500 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM DE-29T |
| physical | XIV, 261 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 | Kühler, Ulrich Verfasser aut A tactic based inductive theorem prover for data types with partial operations Ulrich Kühler Berlin Akad. Verl.-Ges. Aka 2000 XIV, 261 S. 21 cm txt rdacontent n rdamedia nc rdacarrier Dissertationen zur künstlichen Intelligenz 238 Zugl.: Kaiserslautern, Univ., Diss., 1999 (DE-588)4113937-9 Hochschulschrift gnd-content Dissertationen zur künstlichen Intelligenz 238 (DE-604)BV005345280 238 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009000575&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kühler, Ulrich A tactic based inductive theorem prover for data types with partial operations Dissertationen zur künstlichen Intelligenz |
| subject_GND | (DE-588)4113937-9 |
| title | A tactic based inductive theorem prover for data types with partial operations |
| title_auth | A tactic based inductive theorem prover for data types with partial operations |
| title_exact_search | A tactic based inductive theorem prover for data types with partial operations |
| title_full | A tactic based inductive theorem prover for data types with partial operations Ulrich Kühler |
| title_fullStr | A tactic based inductive theorem prover for data types with partial operations Ulrich Kühler |
| title_full_unstemmed | A tactic based inductive theorem prover for data types with partial operations Ulrich Kühler |
| title_short | A tactic based inductive theorem prover for data types with partial operations |
| title_sort | a tactic based inductive theorem prover for data types with partial operations |
| topic_facet | Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009000575&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005345280 |
| work_keys_str_mv | AT kuhlerulrich atacticbasedinductivetheoremproverfordatatypeswithpartialoperations |