Boolean Gröbner bases: theory, algorithms and applications = Boolesche Gröbnerbasen
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos
2010
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 149 S. graph. Darst. 21 cm |
| ISBN: | 9783832525972 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV037196937 | ||
| 003 | DE-604 | ||
| 005 | 20110214 | ||
| 007 | t | ||
| 008 | 110131s2010 gw d||| m||| 00||| eng d | ||
| 015 | |a 11,A01 |2 dnb | ||
| 016 | 7 | |a 1007879785 |2 DE-101 | |
| 020 | |a 9783832525972 |c kart. |9 978-3-8325-2597-2 | ||
| 035 | |a (OCoLC)816039914 | ||
| 035 | |a (DE-599)DNB1007879785 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE | ||
| 049 | |a DE-634 | ||
| 082 | 0 | |a 512.44 |2 22/ger | |
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Brickenstein, Michael |d 1979- |e Verfasser |0 (DE-588)142658111 |4 aut | |
| 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 |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Computeralgebra |0 (DE-588)4010449-7 |D s |
| 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 | ||
Record in the Search Index
| _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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01753nam a2200445 c 4500</leader><controlfield tag="001">BV037196937</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20110214 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">110131s2010 gw d||| m||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">11,A01</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1007879785</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783832525972</subfield><subfield code="c">kart.</subfield><subfield code="9">978-3-8325-2597-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)816039914</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1007879785</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.44</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Brickenstein, Michael</subfield><subfield code="d">1979-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)142658111</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Boolean Gröbner bases</subfield><subfield code="b">theory, algorithms and applications = Boolesche Gröbnerbasen</subfield><subfield code="c">von Michael Brickenstein</subfield></datafield><datafield tag="246" ind1="1" ind2="1"><subfield code="a">Boolesche Gröbnerbasen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Logos</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 149 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">21 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Kaiserslautern, Techn. Univ., Diss., 2009</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gröbner-Basis</subfield><subfield code="0">(DE-588)4276378-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Computeralgebra</subfield><subfield code="0">(DE-588)4010449-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Boolesche Algebra</subfield><subfield code="0">(DE-588)4146280-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Computeralgebra</subfield><subfield code="0">(DE-588)4010449-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gröbner-Basis</subfield><subfield code="0">(DE-588)4276378-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Boolesche Algebra</subfield><subfield code="0">(DE-588)4146280-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-021111261</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| 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 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | X, 149 S. graph. Darst. 21 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Logos |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT brickensteinmichael booleangrobnerbasestheoryalgorithmsandapplicationsbooleschegrobnerbasen AT brickensteinmichael booleschegrobnerbasen |