Lattice functions and equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Springer
2001
|
| Series: | Discrete mathematics and theoretical computer science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 397 - 427 |
| Physical Description: | XI, 435 S. 24 cm |
| ISBN: | 1852332662 |
Staff View
MARC
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| 300 | |a XI, 435 S. |b 24 cm | ||
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Record in the Search Index
| _version_ | 1804128663816372224 |
|---|---|
| adam_text | SERGIU RUDEANU LATTICE FUNCTIONS AND EQUATIONS SPRINGER TABLE OF
CONTENTS 1. EXOTIC EQUATIONS 1 1 AN ABSTRACT THEORY OF EQUATIONS 1 2
EQUATIONS OVER FINITE SETS 5 2. UNIVERSAL ALGEBRA 13 1 FIRST CONCEPTS
AND SUBDIRECT DECOMPOSITIONS 13 2 TERM ALGEBRA, IDENTITIES AND
POLYNOMIALS 17 3 POLYNOMIALS, IDENTITIES (CONTINUED) AND ALGEBRAIC
FUNCTIONS 22 3. LATTICES 31 1 POSETS AND DISTRIBUTIVE LATTICES 31 2
CLASSES OF (RELATIVELY) (PSEUDO)COMPLEMENTED LATTICES 35 3 FUNCTIONS AND
EQUATIONS 47 4. EQUATIONAL COMPACTNESS OF LATTICES AND BOOLEAN ALGEBRAS
61 1 ABSTRACT EQUATIONAL COMPACTNESS . 61 2 EQUATIONAL MONOCOMPACTNESS
OF SEMILATTICES AND LATTICES 62 3 EQUATIONAL COMPACTNESS OF BOOLEAN
ALGEBRAS 66 5. POST ALGEBRAS 69 1 BASIC PROPERTIES OF POST ALGEBRAS 69 2
POST FUNCTIONS 83 3 POST EQUATIONS 90 6. A REVISION OF BOOLEAN
FUNDAMENTALS 125 1 LINEAR BOOLEAN EQUATIONS 125 2 GENERALIZED MINTERMS
AND INTERPOLATING SYSTEMS 134 3 PRIME IMPLICANTS AND SYLLOGISTIC FORMS
141 4 REPRODUCTIVE SOLUTIONS, RECURRENT INEQUALITIES AND RECURRENT
COVERSL53 5 GENERALIZED SYSTEMS/SOLUTIONS OF BOOLEAN EQUATIONS 167 X
TABLE OF CONTENTS 7. CLOSURE OPERATORS ON BOOLEAN FUNCTIONS 177 1 A
GENERAL THEORY 177 2 ISOTONE AND MONOTONE CLOSURES 181 3 INDEPENDENT AND
DECOMPOSITION CLOSURES 192 8. BOOLEAN TRANSFORMATIONS 209 1 FUNCTIONAL
DEPENDENCE OF BOOLEAN FUNCTIONS 209 2 THE RAENGE OF A BOOLEAN
TRANSFORMATION 216 3 INJECTIVITY DOMAINS OF BOOLEAN TRANSFORMATIONS 219
4 FIXED POINTS OF LATTICE AND BOOLEAN TRANSFORMATIONS 225 9. MORE ON
SOLVING BOOLEAN EQUATIONS 231 1 SPECIAL METHODS FOR SOLVING BOOLEAN
EQUATIONS 231 2 BOOLEAN EQUATIONS WITH UNIQUE SOLUTION 249 3 QUADRATIC
TRUTH EQUATIONS 253 4 BOOLEAN EQUATIONS ON COMPUTERS 264 10. BOOLEAN
DIFFERENTIAL CALCULUS 267 1 AN INFORMAL DISCUSSION 267 2 AN AXIOMATIC
APPROACH 274 3 BOOLEAN DIFFERENTIAL EQUATIONS 282 11. DECOMPOSITION OF
BOOLEAN FUNCTIONS 289 1 A HISTORICAL SKETCH 289 2 DECOMPOSITION VIA
BOOLEAN EQUATIONS 294 12. BOOLEAN-BASED MATHEMATICS 303 1 MATHEMATICAL
LOGIC 303 2 POST-BASED ALGEBRA 312 3 GEOMETRY 314 4 STATISTICS 324 13.
MISCELLANEA 329 1 EQUATIONS IN MVL AND RELATION ALGEBRAS 329 2 EQUATIONS
IN FUNCTIONALLY COMPLETE ALGEBRAS 333 3 GENERALIZED BOOLEAN FUNCTIONS
AND NON-BOOLEAN FUNCTIONS 337 4 FUNCTIONAL CHARACTERIZATIONS OF CLASSES
OF FUNCTIONS OVER B 344 5 LOCAL PROPERTIES OF BOOLEAN FUNCTIONS AND
EXTREMAL SOLUTIONS OF BOOLEAN EQUATIONS 349 14. APPLICATIONS 359 1 GRAPH
THEORY 359 2 AUTOMATA THEORY 365 3 SYNTHESIS OF CIRCUITS 372 4 FAULT
DETECTION IN COMBINATIONAL CIRCUITS 380 5 DATABASES 383 TABLE OF
CONTENTS XI 6 MARKETING 386 7 OTHER APPLICATIONS 389 APPENDIX 1. ERRATA
TO BFE 395 APPENDIX 2. DECOMPOSITION OF BOOLEAN FUNCTIONS AND
APPLICATIONS: A BIBLIOGRAPHY 397 APPENDIX 3. OPEN PROBLEMS 405
BIBLIOGRAPHY 407 INDEX 429
|
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| dewey-ones | 511 - General principles of mathematics |
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| dewey-search | 511.3/3 |
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| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
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| id | DE-604.BV013832369 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:52:50Z |
| institution | BVB |
| isbn | 1852332662 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009460787 |
| oclc_num | 46951176 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-634 DE-29T |
| owner_facet | DE-703 DE-20 DE-634 DE-29T |
| physical | XI, 435 S. 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series2 | Discrete mathematics and theoretical computer science |
| spelling | Rudeanu, Sergiu Verfasser aut Lattice functions and equations Sergiu Rudeanu London [u.a.] Springer 2001 XI, 435 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Discrete mathematics and theoretical computer science Literaturverz. S. 397 - 427 Reticulados (álgebra) larpcal Álgebra larpcal Álgebras de boole larpcal Lattice theory Boolesche Gleichung (DE-588)4146282-8 gnd rswk-swf Boolesche Funktion (DE-588)4146281-6 gnd rswk-swf Boolesche Funktion (DE-588)4146281-6 s DE-604 Boolesche Gleichung (DE-588)4146282-8 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009460787&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rudeanu, Sergiu Lattice functions and equations Reticulados (álgebra) larpcal Álgebra larpcal Álgebras de boole larpcal Lattice theory Boolesche Gleichung (DE-588)4146282-8 gnd Boolesche Funktion (DE-588)4146281-6 gnd |
| subject_GND | (DE-588)4146282-8 (DE-588)4146281-6 |
| title | Lattice functions and equations |
| title_auth | Lattice functions and equations |
| title_exact_search | Lattice functions and equations |
| title_full | Lattice functions and equations Sergiu Rudeanu |
| title_fullStr | Lattice functions and equations Sergiu Rudeanu |
| title_full_unstemmed | Lattice functions and equations Sergiu Rudeanu |
| title_short | Lattice functions and equations |
| title_sort | lattice functions and equations |
| topic | Reticulados (álgebra) larpcal Álgebra larpcal Álgebras de boole larpcal Lattice theory Boolesche Gleichung (DE-588)4146282-8 gnd Boolesche Funktion (DE-588)4146281-6 gnd |
| topic_facet | Reticulados (álgebra) Álgebra Álgebras de boole Lattice theory Boolesche Gleichung Boolesche Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009460787&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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