Automated deduction for projection elimination:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | German |
| Published: |
Heidelberg
Akadem. Verl.-Ges.
2009
|
| Series: | Dissertationen zur künstlichen Intelligenz
324 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 283 graph. Darst. |
| ISBN: | 9783898383240 9781586039837 |
Staff View
MARC
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| 100 | 1 | |a Wernhard, Christoph |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Automated deduction for projection elimination |c Christoph Wernhard |
| 264 | 1 | |a Heidelberg |b Akadem. Verl.-Ges. |c 2009 | |
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| 490 | 1 | |a Dissertationen zur künstlichen Intelligenz |v 324 | |
| 502 | |a Zugl.: Koblenz, Landau, Univ., Diss., 2008 | ||
| 650 | 4 | |a Automatisches Beweisverfahren - Quantorenelimination - Logische Programmierung - Wissensrepräsentation | |
| 650 | 4 | |a Knowledge representation (Information theory) | |
| 650 | 4 | |a Projection | |
| 650 | 4 | |a Semantics | |
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Record in the Search Index
| _version_ | 1804138658856435712 |
|---|---|
| adam_text | 4.10 SECOND-ORDER QUANTIFICATION AS SPECIAL CASE OF PROJECTION ... 43
CONTENTS 1 INTRODUCTION 1 2 NOTATION AND PRELIMINARIES 7 2.1
PRESENTATION OF PROOFS 7 2.2 NOTATIONAL CONVENTIONS 7 2.3 TERMS AND
ATOMS 8 2.4 FORMULAS AND SENTENCES 8 2.5 LITERAIS 9 2.6 POLARITY AND
LITERAIS CONTAINED IN A FORMULA 10 2.7 VARIABLE SUBSTITUTIONS 12 2.8
INTERPRETATIONS 13 2.9 SATISFACTION RELATION 14 2.10 RELATIONSHIP TO
FIRST-ORDER MODEL THEORY 14 2.11 CLAUSAL SENTENCES AND HERBRAND
EXPANSION 17 2.12 SEMANTICALLY DETERMINED RELATIONS AND FUNCTIONS 19 3
ESSENTIAL LITERAL BASE AND RELATED CONCEPTS 21 3.1 DEFINITIONS 22 3.2
SWITCHING VALUES OUTSIDE THE LITERAL BASE 24 3.3 SWITCHING VALUES
OUTSIDE THE ESSENTIAL LITERAL BASE 28 3.4 ELIMINATION OF INESSENTIAL
LITERAIS IN PROPOSITIONAL SENTENCES . 31 3.5 RELATED WORK 33 4
PROJECTION CHARACTERIZED SEMANTICALLY 35 4.1 EXTENDING SYNTAX BY THE
LITERAL PROJECTION OPERATOR 36 4.2 SEMANTICS OF LITERAL PROJECTION 37
4.3 EXAMPLES OF LITERAL PROJECTION 37 4.4 GENERALIZATION OF LITERAL BASE
AND RELATED CONCEPTS 39 4.5 LITERAL FORGETTING 39 4.6 VARIATIONS IN THE
FORMULATION OF LITERAL PROJECTION 40 4.7 ATOM PROJECTION AND ATOM
FORGETTING 41 4.8 FROM PROPERTIES OF LITERAL PROJECTION TO ATOM
PROJECTION ... 42 4.9 ENTAILMENT, EQUIVALENCE AND IMPLICATION RELATIVE
TO A SCOPE. 43 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/992710146
DIGITALISIERT DURCH VIII CONTENTS 5 PROPERTIES OF PROJECTION 49 5.1
BASIC PROPERTIES 50 5.2 NESTED PROJECTION 52 5.3 PROJECTING TO THE BASE
AND TO THE ESSENTIAL BASE 53 5.4 THE ESSENTIAL BASE OF A PROJECTION 55
5.5 RESTRICTION OF SCOPES TO THE BASE AND TO THE ESSENTIAL BASE .. 57
5.6 PROJECTION AND RELEVANCY 58 5.7 PROJECTION ELIMINATION IN
PROPOSITIONAL FORMULAS 61 5.8 PROJECTION AND SATISFIABILITY 64 5.9
PROJECTION AND DISJUNCTION 65 5.10 PROJECTION, CONJUNCTION AND
LINKLESSNESS 66 5.11 PROJECTION AND FIRST-ORDER QUANTIFICATION 73 5.12
PROJECTION ELIMINATION IN LINKLESS PROPOSITIONAL FORMULAS ... 77 5.13
PROPERTIES OF ENTAILMENT AND EQUIVALENCE RELATIVE TO A SCOPE 79 5.14
ENTAILMENT RELATIVE TO A SCOPE AND CONSEQUENCES 82 5.15 ALTERNATE
CHARACTERIZATIONS OF PROJECTION 87 6 RELATED WORK ON PROJECTION 93 6.1
PROJECTION FOR FIRST-ORDER LOGIC 93 6.2 PROJECTION AND PROPOSITIONAL
KNOWLEDGE COMPILATION 93 6.3 LITERAL PROJECTION AND PROPOSITIONAL
RELEVANCY 95 6.4 INFORMATION ALGEBRAS AND PROPOSITIONAL INFORMATION
SYSTEMS 96 7 PROJECTION ELIMINATION WITH RESOLVENT GENERATION 101 7.1
THE REPLACE-BY-RESOLVENTS ALGORITHM 102 7.2 CORRECTNESS OF
REPLACE-BY-RESOLVENTS 103 7.3 RELATION OF REPLACE-BY-RESOLVENTS TO SCAN
107 7.4 CASES OF REPLACE-BY-RESOLVENTS THAT ARE SIMPLIFICATIONS 108
7.4.1 PURITY SIMPLIFICATION 109 7.4.2 ISOL AND ISOL* SIMPLIFICATION 109
7. CONTENTS IX 9.3 ENSURING LP-U 140 9.3.1 UPWARD-PRESERVING
FWD-TABLEAUX 140 9.3.2 LEAFY SENTENCES THAT SATISFY LP-U 142 9.3.3 A
FURTHER POSSIBILITY TO SPECIFY UPWARD-PRESERVING ... 142 9.4 ENSURING
LP-D 144 9.4.1 EXTENSIONAL FWD-TABLEAUX 144 9.4.2 BRANCH IMPLIED FORWARD
LABELS 145 9.4.3 LEAFY SENTENCES THAT SATISFY LP-D 146 9.4.4
CONSTRUCTION OF EXTENSIONAL FWD-TABLEAUX 146 9.4.5 EXTENSIONAL
FWD-TABLEAUX AND ASSOCIATED SENTENCES.. 148 9.5 TABLEAU METHODS TO
COMPUTE LP 149 10 DEPENDENCY DIRECTED BACKTRACKING 153 10.1 DECISION
NODES 154 10.2 BACKJUMPING PRECONDITIONS AND OPERATION 155 10.3
APPLICABILITY OF CHRONOLOGICAL BACKTRACKING 158 10.4 REDUCTION OF THE
OUTDEGREES ALONG A BRANCH 159 10.5 PRECONDITIONS THAT REFER TO NON-ROOT
FORWARD LABELS 159 10.6 BACKJUMPING IN TRANSFORMATION TASKS 162 11
DPLL-LIKE METHODS FOR FORMULA TRANSFORMATION 167 11.1 PRELIMINARIES 168
11.1.1 STATE OBJECTS 168 11.1.2 RULE, CALCULUS, DERIVATION AND RELATED
NOTIONS 169 11.2 DPLL-FWD CALCULI 170 11.2.1 SEM-FWD-TABLEAUX 170 11.2.2
STATE OBJECTS OF DPLL-FWD 170 11.2.3 DPLL-FWD CALCULI AND THEIR GLOBAL
PARAMETERS 171 11.2.4 RESTRICTIONS OF THE SCOPE PARAMETERS OF DPLL-FWD
.. X CONTENTS 12 EFFICIENCY ASPECTS OF DPLL-FWD CALCULI 193 12.1 THE
WORKING DATA STRUCTURE OF DPLL-FWD 193 12.2 EFLUECIENCY ASPECTS OF THE
CONSTRUCTION OF FORWARD LABELS .... 195 12.2.1 EFFICIENT CONSTRUCTION OF
FORWARD LABELS 195 12.2.2 SIMPLIFICATIONS IN THE CONSTRUCTION OF FORWARD
LABELS . 195 12.2.3 WEAVING PROJECTION INTO COMPILATION 196 12.3
EFFICIENT RULE APPLICATIONS 197 12.4 POLYNOMIAL TRANSPARENCY 200 13
DPLL-FWD WITH PIECEMEAL OUTPUT 203 13.1 DPLL-FWD-0 AND LEAFY PIECES 204
13.2 LEAFY PIECES THAT SATISFY LP-L 204 13.3 LEAFY PIECES THAT SATISFY
LP-U 205 13.4 LEAFY PIECES THAT SATISFY LP-D 205 13.5 DPLL-FWD-O CALCULI
COMPUTE LP PIECEMEAL 207 14 RELATED WORK ON FORMULA TRANSFORMATION
METHODS 209 14.1 DPLL-BASED DNNF COMPILATION 209 14.1.1 AND-NODES 210
14.1.2 BACKTRACKING FOR TRANSFORMATION TASKS 210 14.1.3 FURTHER FEATURES
OF THE DNNF COMPILERS 211 14.1.4 FEATURES NOT PRESENT IN THE DNNF
COMPILERS 212 14.2 PROJECTION AND INTERPOLATION IN SYMBOLIC MODEL
CHECKING ... 214 14.2.1 IMAGE COMPUTATION WITH QUANTIFIER ELIMINATION
214 14.2.2 DPLL-BASED QUANTIFIER ELIMINATION 215 14.2.3 PROJECTION AND
INTERPOLATION 217 14.2.4 INTERPOLATION AND APPROXIMATE IMAGE COMPUTATION
.. 218 14.3 TABLEAU SIMULATION OF SHANNON EXPANSION OF SUBFORMULAS ...
220 14.3.1 SEMANTIC FACTORING 221 14.3.
|
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| author | Wernhard, Christoph |
| author_facet | Wernhard, Christoph |
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| classification_rvk | ST 300 ST 515 |
| classification_tum | DAT 700d DAT 557d DAT 703d DAT 706d |
| ctrlnum | (OCoLC)313654118 (DE-599)BSZ303118423 |
| discipline | Informatik |
| format | Thesis Book |
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| isbn | 9783898383240 9781586039837 |
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| series | Dissertationen zur künstlichen Intelligenz |
| series2 | Dissertationen zur künstlichen Intelligenz |
| spelling | Wernhard, Christoph Verfasser aut Automated deduction for projection elimination Christoph Wernhard Heidelberg Akadem. Verl.-Ges. 2009 X, 283 graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dissertationen zur künstlichen Intelligenz 324 Zugl.: Koblenz, Landau, Univ., Diss., 2008 Automatisches Beweisverfahren - Quantorenelimination - Logische Programmierung - Wissensrepräsentation Knowledge representation (Information theory) Projection Semantics Automatisches Beweisverfahren (DE-588)4069034-9 gnd rswk-swf Quantorenelimination (DE-588)4308709-7 gnd rswk-swf Logische Programmierung (DE-588)4195096-3 gnd rswk-swf Wissensrepräsentation (DE-588)4049534-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Automatisches Beweisverfahren (DE-588)4069034-9 s Quantorenelimination (DE-588)4308709-7 s Logische Programmierung (DE-588)4195096-3 s Wissensrepräsentation (DE-588)4049534-6 s DE-604 Dissertationen zur künstlichen Intelligenz 324 (DE-604)BV005345280 324 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017146388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wernhard, Christoph Automated deduction for projection elimination Dissertationen zur künstlichen Intelligenz Automatisches Beweisverfahren - Quantorenelimination - Logische Programmierung - Wissensrepräsentation Knowledge representation (Information theory) Projection Semantics Automatisches Beweisverfahren (DE-588)4069034-9 gnd Quantorenelimination (DE-588)4308709-7 gnd Logische Programmierung (DE-588)4195096-3 gnd Wissensrepräsentation (DE-588)4049534-6 gnd |
| subject_GND | (DE-588)4069034-9 (DE-588)4308709-7 (DE-588)4195096-3 (DE-588)4049534-6 (DE-588)4113937-9 |
| title | Automated deduction for projection elimination |
| title_auth | Automated deduction for projection elimination |
| title_exact_search | Automated deduction for projection elimination |
| title_full | Automated deduction for projection elimination Christoph Wernhard |
| title_fullStr | Automated deduction for projection elimination Christoph Wernhard |
| title_full_unstemmed | Automated deduction for projection elimination Christoph Wernhard |
| title_short | Automated deduction for projection elimination |
| title_sort | automated deduction for projection elimination |
| topic | Automatisches Beweisverfahren - Quantorenelimination - Logische Programmierung - Wissensrepräsentation Knowledge representation (Information theory) Projection Semantics Automatisches Beweisverfahren (DE-588)4069034-9 gnd Quantorenelimination (DE-588)4308709-7 gnd Logische Programmierung (DE-588)4195096-3 gnd Wissensrepräsentation (DE-588)4049534-6 gnd |
| topic_facet | Automatisches Beweisverfahren - Quantorenelimination - Logische Programmierung - Wissensrepräsentation Knowledge representation (Information theory) Projection Semantics Automatisches Beweisverfahren Quantorenelimination Logische Programmierung Wissensrepräsentation Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017146388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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