Boolean Gröbner bases: theory, algorithms and applications = Boolesche Gröbnerbasen
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos
2010
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 149 S. graph. Darst. 21 cm |
| ISBN: | 9783832525972 |
Internformat
MARC
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| 245 | 1 | 0 | |a Boolean Gröbner bases |b theory, algorithms and applications = Boolesche Gröbnerbasen |c von Michael Brickenstein |
| 246 | 1 | 1 | |a Boolesche Gröbnerbasen |
| 264 | 1 | |a Berlin |b Logos |c 2010 | |
| 300 | |a X, 149 S. |b graph. Darst. |c 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Zugl.: Kaiserslautern, Techn. Univ., Diss., 2009 | ||
| 650 | 0 | 7 | |a Gröbner-Basis |0 (DE-588)4276378-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Computeralgebra |0 (DE-588)4010449-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Boolesche Algebra |0 (DE-588)4146280-4 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Gröbner-Basis |0 (DE-588)4276378-2 |D s |
| 689 | 0 | 2 | |a Boolesche Algebra |0 (DE-588)4146280-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 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=021111261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-021111261 | ||
Datensatz im Suchindex
| _version_ | 1804143783665729536 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
INTRODUCTIONS V
ACKNOWLEDGEMENTS IX
1 GENERAL GROEBNER BASIS THEORY I
1.1 CLASSICAL NOTIONS 1
1.2 T-REPRESENTATIONS AND EXTENDED PRODUCT CRITERION G
1.3 THE SLIMGB ALGORITHM 8
1.4 BENCHMARKS 14
2 BOOLEAN POLYNOMIALS AND BOOLEAN GROEBNER BASES 19
2.1 BOOLEAN POLYNOMIALS 19
2.2 BOOLEAN GROEBNER BASES 23
2.3 INTERSECTION OF IDEALS IN BOOLEAN RINGS 31
3 P O L Y N O M I AL REPRESENTATIONS AS Z DD 33
3.1 FORMAL INTRODUCTION TO DECISION DIAGRAMS 33
3.2 INTRODUCTION TO ZDDS 40
3.3 ZDDS AND MONOMIAL ORDERINGS 44
3.4 DEPENDENCE OF ZDDS ON THE ORDER OF VARIABLES 50
4 ALGORITHMIC OPTIMIZATIONS USING Z DD 59
4.1 ARITHMETIC 59
4.2 NORMAL FORM AGAINST A SET OF MONOMIALS 63
4.3 LINEAR LEXICOGRAPHICAL LEAD REDUCTIONS G4
4.4 OPTIMIZATION OF THE BUCHBERGER ALGORITHM WITH ZDDS 08
5 APPLICATIONS 73
5.1 BOOLEAN INTERPOLATION 73
5.2 FORMAL VERIFICATION 85
5.3 CONVERSION TO CNF 93
6 P O L Y B O RI AS SOFTWARE 99
6.1 DATA STRUCTURES 99
6.2 THE POLYBORI FRAMEWORK 102
6.3 COMPARISON WITH CLASSICAL COMPUTER ALGEBRA SYSTEMS 108
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1007879785
DIGITALISIERT DURCH
IMAGE 2
7 POLYBORI TUTORIAL 111
7.1 INTRODUCTION ILL
7.2 HOW TO PROGRAM EFFICIENTLY 121
7.3 OTHER TECHNIQUES 130
BIBLIOGRAPHY 139
|
| any_adam_object | 1 |
| author | Brickenstein, Michael 1979- |
| author_GND | (DE-588)142658111 |
| author_facet | Brickenstein, Michael 1979- |
| author_role | aut |
| author_sort | Brickenstein, Michael 1979- |
| author_variant | m b mb |
| building | Verbundindex |
| bvnumber | BV037196937 |
| ctrlnum | (OCoLC)816039914 (DE-599)DNB1007879785 |
| dewey-full | 512.44 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.44 |
| dewey-search | 512.44 |
| dewey-sort | 3512.44 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV037196937 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:53:09Z |
| institution | BVB |
| isbn | 9783832525972 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021111261 |
| oclc_num | 816039914 |
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| physical | X, 149 S. graph. Darst. 21 cm |
| publishDate | 2010 |
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| publisher | Logos |
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| spelling | Brickenstein, Michael 1979- Verfasser (DE-588)142658111 aut Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen von Michael Brickenstein Boolesche Gröbnerbasen Berlin Logos 2010 X, 149 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Kaiserslautern, Techn. Univ., Diss., 2009 Gröbner-Basis (DE-588)4276378-2 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf Boolesche Algebra (DE-588)4146280-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Computeralgebra (DE-588)4010449-7 s Gröbner-Basis (DE-588)4276378-2 s Boolesche Algebra (DE-588)4146280-4 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021111261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brickenstein, Michael 1979- Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen Gröbner-Basis (DE-588)4276378-2 gnd Computeralgebra (DE-588)4010449-7 gnd Boolesche Algebra (DE-588)4146280-4 gnd |
| subject_GND | (DE-588)4276378-2 (DE-588)4010449-7 (DE-588)4146280-4 (DE-588)4113937-9 |
| title | Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen |
| title_alt | Boolesche Gröbnerbasen |
| title_auth | Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen |
| title_exact_search | Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen |
| title_full | Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen von Michael Brickenstein |
| title_fullStr | Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen von Michael Brickenstein |
| title_full_unstemmed | Boolean Gröbner bases theory, algorithms and applications = Boolesche Gröbnerbasen von Michael Brickenstein |
| title_short | Boolean Gröbner bases |
| title_sort | boolean grobner bases theory algorithms and applications boolesche grobnerbasen |
| title_sub | theory, algorithms and applications = Boolesche Gröbnerbasen |
| topic | Gröbner-Basis (DE-588)4276378-2 gnd Computeralgebra (DE-588)4010449-7 gnd Boolesche Algebra (DE-588)4146280-4 gnd |
| topic_facet | Gröbner-Basis Computeralgebra Boolesche Algebra Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021111261&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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