Introduction to mathematics of satisfiability:
Gespeichert in:
Beteilige Person: | |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Boca Raton [u.a.]
CRC Press [u.a.]
2009
|
Schriftenreihe: | Chapman & Hall/CRC studies in informatics series
|
Schlagwörter: | |
Links: | http://www.gbv.de/dms/bowker/toc/9781439801673.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018937109&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | XIII, 350 S. |
ISBN: | 9781439801673 |
Internformat
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Datensatz im Suchindex
_version_ | 1819290282831642624 |
---|---|
adam_text | IMAGE 1
PREFACE
P. IX
SETS, LATTICES, AND BOOLEAN ALGEBRAS
P. 1
SETS AND SET-THEORETIC NOTATION
P. 1
POSETS, LATTICES, AND BOOLEAN ALGEBRAS
P. 3
WELL-ORDERINGS AND ORDINALS
P. 5
THE FIXPOINT THEOREM
P. 6
EXERCISES
P. 9
INTRODUCTION TO PROPOSITIONAL LOGIC
P. 11
SYNTAX OF PROPOSITIONAL LOGIC
P. 11
SEMANTICS OF PROPOSITIONAL LOGIC
P. 13
AUTARKIES
P. 23
TAUTOLOGIES AND SUBSTITUTIONS
P. 28
LINDENBAUM ALGEBRA
P. 32
PERMUTATIONS
P. 34
DUALITY
P. 38
SEMANTICAL CONSEQUENCE, OPERATIONS MOD AND TH
P. 39
EXERCISES
P. 42
NORMAL FORMS OF FORMULAS
P. 45
CANONICAL NEGATION-NORMAL FORM
P. 46
OCCURRENCES OF VARIABLES AND THREE-VALUED LOGIC
P. 48
CANONICAL FORMS
P. 50
REDUCED NORMAL FORMS
P. 54
COMPLETE NORMAL FORMS
P. 56
LINDENBAUM ALGEBRA REVISITED
P. 58
OTHER NORMAL FORMS
P. 59
EXERCISES
P. 60
THE CRAIG LEMMA
P. 63
CRAIG LEMMA
P. 63
STRONG CRAIG LEMMA
P. 66
TYING UP LOOSE ENDS
P. 69
EXERCISES
P. 71
COMPLETE SETS OF FUNCTORS
P. 73
BEYOND DE MORGAN FUNCTORS
P. 74
TABLES
P. 75
FIELD STRUCTURE IN BOOL
P. 78
INCOMPLETE SETS OF FUNCTORS, POST CLASSES
P. 83
POST CRITERION FOR COMPLETENESS
P. 85
IF-THEN-ELSE FUNCTOR
P. 88
EXERCISES
P. 90
COMPACTNESS THEOREM
P. 93
KOENIG LEMMA
P. 93
IMAGE 2
COMPACTNESS, DENUMERABLE CASE
P. 95
CONTINUITY OF THE OPERATOR CN
P. 99
EXERCISES
P. 100
CLAUSAL LOGIC AND RESOLUTION
P. 101
CLAUSAL LOGIC
P. 102
RESOLUTION RULE
P. 107
COMPLETENESS RESULTS
P. 110
QUERY-ANSWERING WITH RESOLUTION
P. 113
DAVIS-PUTNAM LEMMA
P. 117
SEMANTIC RESOLUTION
P. 119
AUTARK AND LEAN SETS
P. 124
EXERCISES
P. 132
TESTING SATISFIABILITY
P. 133
TABLE METHOD
P. 133
HINTIKKASETS
P. 135
TABLEAUX
P. 137
DAVIS-PUTNAM ALGORITHM
P. 144
BOOLEAN CONSTRAINT PROPAGATION
P. 154
THE DPLL ALGORITHM
P. 158
IMPROVEMENTS TO DPLL?
P. 161
REDUCTION OF THE SEARCH SAT TO DECISION SAT
P. 162
EXERCISES
P. 163
POLYNOMIAL CASES OF SAT
P. 165
POSITIVE AND NEGATIVE FORMULAS
P. 165
HORN FORMULAS
P. 167
AUTARKIES FOR HORN THEORIES
P. 176
DUAL HORN FORMULAS
P. 181
KROM FORMULAS AND 2-SAT
P. 185
RENAMEABLE CLASSES OF FORMULAS
P. 194
AFFINE FORMULAS
P. 199
EXERCISES
P. 204
SAT, INTEGER PROGRAMMING, AND MATRIX ALGEBRA
P. 205
REPRESENTING CLAUSES BY INEQUALITIES
P. 206
RESOLUTION AND OTHER RULES OF PROOF
P. 207
PIGEON-HOLE PRINCIPLE AND THE CUTTING PLANE RULE
P. 209
SATISFIABILITY AND {-1, L}-IN LEGER PROGRAMMING
P. 214
EMBEDDING SAT INTO MATRIX ALGEBRA
P. 216
EXERCISES
P. 225
CODING RUNS OF TURING MACHINES, NP-COMPLETENESS
P. 227
TURING MACHINES
P. 228
THE LANGUAGE
P. 231
IMAGE 3
CODING THE RUNS
P. 232
CORRECTNESS OF OUR CODING
P. 233
REDUCTION TO 3-CLAUSES
P. 237
CODING FORMULAS AS CLAUSES AND CIRCUITS
P. 239
DECISION PROBLEM FOR AUTARKIES
P. 243
SEARCH PROBLEM FOR AUTARKIES
P. 245
EITHER-OR CNFS
P. 247
OTHER CASES
P. 249
EXERCISES
P. 252
COMPUTATIONAL KNOWLEDGE REPRESENTATION WITH SAT - GETTING STARTED P. 253
ENCODING INTO SAT, DIMACS FORMAT
P. 254
KNOWLEDGE REPRESENTATION OVER FINITE DOMAINS
P. 261
CARDINALITY CONSTRAINTS, THE LANGUAGE L
P. 267
WEIGHT CONSTRAINTS
P. 273
MONOTONE CONSTRAINTS
P. 276
EXERCISES
P. 283
KNOWLEDGE REPRESENTATION AND CONSTRAINT SATISFACTION
P. 285
EXTENSIONAL AND INTENTIONAL RELATIONS, CWA
P. 285
CONSTRAINT SATISFACTION AND SAT
P. 292
SATISFIABILITY AS CONSTRAINT SATISFACTION
P. 297
POLYNOMIAL CASES OF BOOLEAN CSP
P. 300
SCHAEFER DICHOTOMY THEOREM
P. 305
EXERCISES
P. 317
ANSWER SET PROGRAMMING
P. 321
HORN LOGIC REVISITED
P. 321
MODELS OF PROGRAMS
P. 322
SUPPORTED MODELS
P. 323
STABLE MODELS
P. 326
ANSWER SET PROGRAMMING AND SAT
P. 329
KNOWLEDGE REPRESENTATION AND ASP
P. 333
THREE-COLORING OF GRAPHS
P. 334
HAMILTONIAN CYCLES IN ASP
P. 335
COMPLEXITY ISSUES FOR ASP
P. 336
EXERCISES
P. 337
CONCLUSIONS
P. 339
REFERENCES
P. 339
INDEX
P. 347
TABLE OF CONTENTS PROVIDED BY BLACKWELL S BOOK SERVICES AND R.R. BOWKER.
USED WITH PERMISSION.
|
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author | Marek, Victor W. 1943- |
author_GND | (DE-588)128838159 |
author_facet | Marek, Victor W. 1943- |
author_role | aut |
author_sort | Marek, Victor W. 1943- |
author_variant | v w m vw vwm |
building | Verbundindex |
bvnumber | BV036045326 |
classification_rvk | ST 134 |
ctrlnum | (OCoLC)916880793 (DE-599)GBV598918817 |
discipline | Informatik |
format | Book |
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id | DE-604.BV036045326 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T14:05:31Z |
institution | BVB |
isbn | 9781439801673 |
language | English |
lccn | 2009016171 |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018937109 |
oclc_num | 916880793 |
open_access_boolean | |
owner | DE-634 DE-11 DE-526 DE-2070s |
owner_facet | DE-634 DE-11 DE-526 DE-2070s |
physical | XIII, 350 S. |
publishDate | 2009 |
publishDateSearch | 2009 |
publishDateSort | 2009 |
publisher | CRC Press [u.a.] |
record_format | marc |
series2 | Chapman & Hall/CRC studies in informatics series |
spellingShingle | Marek, Victor W. 1943- Introduction to mathematics of satisfiability Propositional calculus Logic, Symbolic and mathematical Erfüllbarkeitsproblem (DE-588)4323820-8 gnd |
subject_GND | (DE-588)4323820-8 |
title | Introduction to mathematics of satisfiability |
title_auth | Introduction to mathematics of satisfiability |
title_exact_search | Introduction to mathematics of satisfiability |
title_full | Introduction to mathematics of satisfiability Victor W. Marek |
title_fullStr | Introduction to mathematics of satisfiability Victor W. Marek |
title_full_unstemmed | Introduction to mathematics of satisfiability Victor W. Marek |
title_short | Introduction to mathematics of satisfiability |
title_sort | introduction to mathematics of satisfiability |
topic | Propositional calculus Logic, Symbolic and mathematical Erfüllbarkeitsproblem (DE-588)4323820-8 gnd |
topic_facet | Propositional calculus Logic, Symbolic and mathematical Erfüllbarkeitsproblem |
url | http://www.gbv.de/dms/bowker/toc/9781439801673.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018937109&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT marekvictorw introductiontomathematicsofsatisfiability |