Improving proof search in intuitionistic propositional logic:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Logos-Verl.
2001
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: München, Univ., Fak. für Mathematik und Informatik, Diss., 2001 |
| Physical Description: | X, 132 S. 24 cm |
| ISBN: | 3897227673 |
Staff View
MARC
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| 100 | 1 | |a Weich, Klaus |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Improving proof search in intuitionistic propositional logic |c von Klaus Weich |
| 264 | 1 | |a Berlin |b Logos-Verl. |c 2001 | |
| 300 | |a X, 132 S. |b 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Zugl.: München, Univ., Fak. für Mathematik und Informatik, Diss., 2001 | ||
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
1
PRELIMINARIES
1
1.1
FORMULAE
.
1
1.2
DERIVATIONS
.
1
1.3
MODELS
.
3
2
NORMAL
FORMS
7
2.1
CONDITIONAL
NORMAL
FORMS
.
7
2.2
TRANSLATION
INTO
NORMAL
FORMS
.
8
3
KNOWN
DECISION
PROCEDURES
17
3.1
GENTZEN
'
S
DECISION
PROCEDURE
.
17
3.2
BI-COMPLETE
DECISION
PROCEDURES
.
19
3.3
UNDERWOOD
'
S
TABLEAU
METHOD
.
21
3.4
CONTRACTION-FREE
SEQUENT
CALCULI
-
LJCF
.
25
3.5
MEMOIZING
LJCF
.
34
3.6
INVERSE
METHODS
.
36
3.7
SUMMARY
.
40
4
A
NEARLY
O(5
N
)-TIME
AND
PSPACE
DECISION
PROCEDURE
41
4.1
THE
ALGORITHM
.
41
4.2
COMPLEXITY
.
46
4.3
PARALLEL
SEARCH?
.
49
4.4
PROOF
OF
THEOREM
4.2.1
.
50
5
GOAL-DIRECTED
SEARCH
63
5.1
THE
BASIC
ALGORITHM
.
63
5.2
COMPLEXITY
.
68
5.3
COMPARISON
TO
LJCF
.
69
5.4
PRUNING
.
69
6
AN
O(2
N
)-TIME
AND
O(2
N
)-SPACE
DECISION
PROCEDURE
-
PARALLEL
SEARCH
71
6.1
PRELIMINARIES
.
71
X
CONTENTS
6.2
THE
ALGORITHM
.
74
6.3
COMPLEXITY
.
79
6.4
PARALLEL
SEARCH
.
81
6.5
CONCLUSION
.
82
7
EXTRACTING
A
REAL
DECISION
PROCEDURE
IN
COQ
85
7.1
PROLOGUE
.
85
7.2
GENERAL
TOOLS
.
88
7.2.1
AVL
TREES
.
88
7.2.2
TOOLS
FOR
LISTS
.
89
7.3
FORMULAE
AND
NORMAL
FORMS
.
89
7.4
DERIVATIONS
AND
KRIPKE
TREES
.
90
7.5
THE
OPTION
"
DERIVATION
"
OR
"
DERIVABLE
"
.
92
7.6
THE
DATA
STRUCTURE
OF
T
AND
A
G
T
.
93
7.7
SPECIFICATION
OF
THE
DECISION
PROCEDURE
.
96
7.8
SEQUENT
RULES
.
98
7.9
THE
MAIN
THEOREM
.
103
7.10
CONCLUSION
.
103
8
CONCLUSIONS
AND
FUTURE
WORK
105
8.1
PREDICATE
LOGIC
AND
EQUALITY
.
105
8.2
MODAL
LOGIC
S4
.
106
8.3
MINIMAL
LOGIC
.
106
A
ADDING
THE
MAIN
IDEA
OF
THE
DAVIS-PUTNAM
ALGORITHM
107
A.L
PROLOGUE
.
107
A.2
TRANSFER
TO
INTUITIONISTIC
LOGIC
.
108
A.3
COMPATIBILITY
WITH
PRUNING
.
108
B
BENCHMARK
RESULTS
109
B.L
THE
BENCHMARK
FORMULAE
.
109
B.2
IMPLEMENTATIONS
.
ILL
B.3
BENCHMARK
RESULTS
.
112
C
THE
AUTOMATICALLY
EXTRACTED
PROGRAM
115
D
A
PROGRAM
FOR
COMPUTING
A
N
N
127
REFERENCES
129
LIST
OF
FIGURES
131
INDEX
132 |
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| illustrated | Not Illustrated |
| indexdate | 2024-08-22T00:38:20Z |
| institution | BVB |
| isbn | 3897227673 |
| language | English |
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| physical | X, 132 S. 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Logos-Verl. |
| record_format | marc |
| spelling | Weich, Klaus Verfasser aut Improving proof search in intuitionistic propositional logic von Klaus Weich Berlin Logos-Verl. 2001 X, 132 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: München, Univ., Fak. für Mathematik und Informatik, Diss., 2001 Intuitionistische Logik (DE-588)4162199-2 gnd rswk-swf Aussagenlogik (DE-588)4136098-9 gnd rswk-swf Beweis (DE-588)4132532-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Intuitionistische Logik (DE-588)4162199-2 s Beweis (DE-588)4132532-1 s DE-604 Aussagenlogik (DE-588)4136098-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009548530&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weich, Klaus Improving proof search in intuitionistic propositional logic Intuitionistische Logik (DE-588)4162199-2 gnd Aussagenlogik (DE-588)4136098-9 gnd Beweis (DE-588)4132532-1 gnd |
| subject_GND | (DE-588)4162199-2 (DE-588)4136098-9 (DE-588)4132532-1 (DE-588)4113937-9 |
| title | Improving proof search in intuitionistic propositional logic |
| title_auth | Improving proof search in intuitionistic propositional logic |
| title_exact_search | Improving proof search in intuitionistic propositional logic |
| title_full | Improving proof search in intuitionistic propositional logic von Klaus Weich |
| title_fullStr | Improving proof search in intuitionistic propositional logic von Klaus Weich |
| title_full_unstemmed | Improving proof search in intuitionistic propositional logic von Klaus Weich |
| title_short | Improving proof search in intuitionistic propositional logic |
| title_sort | improving proof search in intuitionistic propositional logic |
| topic | Intuitionistische Logik (DE-588)4162199-2 gnd Aussagenlogik (DE-588)4136098-9 gnd Beweis (DE-588)4132532-1 gnd |
| topic_facet | Intuitionistische Logik Aussagenlogik Beweis Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009548530&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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