Modellierung Grundlagen und formale Methoden
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
München [u.a.]
Hanser
2005
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Modellierung |b Grundlagen und formale Methoden |c Uwe Kastens ; Hans Kleine Büning |
| 264 | 1 | |a München [u.a.] |b Hanser |c 2005 | |
| 300 | |a 256 S. |b graph. Darst., Kt. | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001f 2005 A 7782 |
|---|---|
| DE-BY-TUM_katkey | 1523457 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040071022401 |
| _version_ | 1820809197179109376 |
| adam_text | Inhalt
Vorwort...........................................................................................9
1 Einführung...................................................................................13
1.1 Einführendes Beispiel ..........................................................................................13
1.2 Modellbegriff.......................................................................................................16
Übungen...............................................................................................................21
2 Modellierung mit Wertebereichen..............................................23
2.1 Mengen ................................................................................................................25
2.2 Potenzmengen......................................................................................................27
2.3 Kartesische Produkte ...........................................................................................28
2.4 Vereinigung .........................................................................................................29
2.5 Folgen ..................................................................................................................31
2.6 Relationen............................................................................................................32
2.7 Funktionen ...........................................................................................................35
2.8 Beispiel im Zusammenhang.................................................................................40
2.9 Fallstudie: Getränkeautomat................................................................................42
2.9.1 Produkte und Vorrat .................................................................................42
2.9.2 Kassieren .................................................................................................43
2.9.3 Bedienung und Zustand............................................................................44
Zusammenfassung ...............................................................................................46
Übungen...............................................................................................................46
3
3.1
3.1.1 Sorten und Signaturen ..............................................................................54
3.1.2 Notationen für
3.2 Substitution und Unifikation................................................................................60
3.2.1 Substitution...............................................................................................61
3.2.2 Unifikation................................................................................................64
3.3 Algebren...............................................................................................................66
3.3.1 Abstrakte Algebra.....................................................................................67
3.3.2 Konkrete Algebra .....................................................................................68
3.4 Algebraische Spezifikation von Datenstrukturen ................................................69
3.4.1 Algebraische Spezifikation für den Getränkeautomaten..........................76
Übungen...............................................................................................................77
6_________Inhalt _______________________________________________________________
4 Logik.............................................................................................83
4.1 Aussagenlogik......................................................................................................84
4.1.1 Syntax der Aussagenlogik........................................................................84
4.1.2 Semantik der Aussagenlogik....................................................................85
4.1.3 Normalformen ..........................................................................................91
4.1.4 Aussagenlogische Modellbildung ............................................................95
4.2 Prädikatenlogik ....................................................................................................97
4.2.1 Syntax der Prädikatenlogik.......................................................................91
4.2.2 Semantik der Prädikatenlogik.................................................................101
4.2.3 Normalformen ........................................................................................106
4.2.4 Modellbildung mit der Prädikatenlogik..................................................110
Zusammenfassung .............................................................................................113
Übungen.............................................................................................................113
5 Modellierung mit Graphen........................................................119
5.1 Grundlegende Definitionen................................................................................120
5.2 Wegeprobleme...................................................................................................127
5.3 Verbindungsprobleme........................................................................................136
5.4 Modellierung mit Bäumen.................................................................................140
5.5 Zuordnungsprobleme.........................................................................................148
5.6 Abhängigkeiten..................................................................................................152
Übungen.............................................................................................................160
6
6.1 Kontextfreie Grammatiken ................................................................................166
6.2 Entity-Relationship-Modell ...............................................................................178
6.2.1 Entity-Mengen........................................................................................178
6.2.2 Attribute..................................................................................................180
6.2.3 Relationen...............................................................................................181
Übungen.............................................................................................................190
7 Modellierung von Abläufen......................................................195
7.1 Endliche Automaten ..........................................................................................196
7.1.1 Zeichenfolgen über Alphabete ...............................................................198
7.1.2 Deterministische endliche Automaten....................................................200
7.1.3 Nicht-deterministische Automaten.........................................................202
7.2 Petri-Netze .........................................................................................................209
Übungen.............................................................................................................221
8 Fallstudien..................................................................................227
8.1 Fallstudie Autowerkstatt....................................................................................227
8.1.1 Informationsstruktur und Zusammenhänge............................................228
8.1.2 Bedingungen und Regeln .......................................................................231
8.1.3 Abläufe der Auftragsbearbeitung ...........................................................232
_______________________________________________________________Inhalt_________7
;.2 Fallstudie Gesellschaftsspiel..............................................................................234
8.2.1 Strukturen und Zusammenhänge............................................................234
8.2.2 Bedingungen und Regeln .......................................................................238
8.2.3 Spielabläufe ............................................................................................239
Übungen.............................................................................................................241
Bibliographie..............................................................................245
Referenzen .........................................................................................................247
Register......................................................................................251
|
| any_adam_object | 1 |
| author | Kastens, Uwe 1946- Kleine Büning, Hans 1948- |
| author_GND | (DE-588)108476464 (DE-588)121448339 |
| author_facet | Kastens, Uwe 1946- Kleine Büning, Hans 1948- |
| author_role | aut aut |
| author_sort | Kastens, Uwe 1946- |
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| building | Verbundindex |
| bvnumber | BV020035221 |
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| dewey-ones | 004 - Computer science |
| dewey-raw | 004 |
| dewey-search | 004 |
| dewey-sort | 14 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV020035221 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T18:21:54Z |
| institution | BVB |
| isbn | 3446404600 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013356370 |
| oclc_num | 163631177 |
| open_access_boolean | |
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| owner_facet | DE-859 DE-12 DE-91G DE-BY-TUM DE-210 DE-1102 DE-573 DE-706 DE-739 DE-634 DE-83 DE-188 |
| physical | 256 S. graph. Darst., Kt. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Hanser |
| record_format | marc |
| spellingShingle | Kastens, Uwe 1946- Kleine Büning, Hans 1948- Modellierung Grundlagen und formale Methoden Modellierung (DE-588)4170297-9 gnd |
| subject_GND | (DE-588)4170297-9 (DE-588)4123623-3 |
| title | Modellierung Grundlagen und formale Methoden |
| title_auth | Modellierung Grundlagen und formale Methoden |
| title_exact_search | Modellierung Grundlagen und formale Methoden |
| title_full | Modellierung Grundlagen und formale Methoden Uwe Kastens ; Hans Kleine Büning |
| title_fullStr | Modellierung Grundlagen und formale Methoden Uwe Kastens ; Hans Kleine Büning |
| title_full_unstemmed | Modellierung Grundlagen und formale Methoden Uwe Kastens ; Hans Kleine Büning |
| title_short | Modellierung |
| title_sort | modellierung grundlagen und formale methoden |
| title_sub | Grundlagen und formale Methoden |
| topic | Modellierung (DE-588)4170297-9 gnd |
| topic_facet | Modellierung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013356370&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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