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				<div style="text-align:left;margin-bottom:20px;">  		</div><span itemprop="name" class="title">Einführung in Automatentheorie, Formale Sprachen und Berechenbarkeit<br></span><p>Autoren:<br><span itemprop="author" class="author"><b>John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman</b></span></p><p>Verlag:<br><b itemprop="publisher">Pearson Studium</b>&nbsp;&nbsp;<a onclick="SearchPublEnt(68168)" href="#">Weitere Titel dieses Verlages anzeigen</a></p>		
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<span class="notbold">Auflage: </span>3., aktualisierte Auflage<br><span class="notbold">Erschienen: </span>März 2011<br><span class="notbold">Seiten: </span>592<br><span class="notbold">Sprache: </span>Deutsch<br><span class="notbold">Preis: </span>49.95 €<br>
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<span class="bmhighl">A</span><br>
Abgeschlossenheit Boolesche Operationen 166<br/>Differenz regulärer Sprachen 172<br/>Durchschnitt regulärer Sprachen 
170, 171<br/>Durchschnitt und kontextfreie 
Sprachen 332, 336<br/>Homomorphismen einer regulären 
Sprache 174<br/>Homomorphismen über einer kontext- freien Sprache 331, 338, 339<br/>Hüllenbildung mit kontextfreien 
Sprachen 331<br/>inverse Homomorphismen einer 
regulären Sprache 176<br/>inverse Homomorphismen über einer 
kontextfreien Sprache 337<br/>Komplementbildung regulärer 
Sprachen 168<br/>kontextfreie Sprachen 328, 336, 337<br/>reguläre Operationen mit regulären 
Sprachen 168<br/>reguläre Sprachen 166<br/>Spiegelung einer kontextfreien 
Sprache 332<br/>Spiegelung einer regulären Sprache 
173, 174<br/>Substitution in kontextfreien 
Sprachen 328, 329, 330, 331<br/>Vereinigung kontextfreier 
Sprachen 331<br/>Vereinigung regulärer Sprachen 167<br/>Verkettung kontextfreier Sprachen 331<br/>Ableitungen linksseitige 213<br/>mithilfe einer Grammatik 210<br/>Notation 213<br/>rechtsseitige 213<br/>Satzform 216<br/>Adelman, L. 563<br>
Alphabete Begriffsdefinition 54<br/>Potenzen 54<br/>Assoziativgesetz Mengenvereinigung 148<br/>Verkettung 148<br/>Ausdrücke reguläre 59<br>
rekursive Definition 48<br/>Ausführungszeit exponentiell 472<br/>Kruskal-Algorithmus 475<br/>polynomial 472<br/>Automaten endliche 59<br>
<span class="bmhighl">B</span><br>
Backus, J. W. 579<br/>B aums truktur en kontextfreie Grammatiken (kfG) 219<br/>Terminologie 220<br/>Beobachtungen 42<br/>Beweise Äquivalenz von Mengen 38<br/>Aussageformen 34<br>
Beschreibung formaler Techniken 28<br/>deduktive 28<br>
durch Gegenbeispiele 42, 43, 60<br/>durch Widerspruch 33, 41, 60<br/>Genau-dann-wenn-Aussagen 35, 60<br/>induktive 29, 43, 60<br/>kontextfreie Grammatiken (kfG) 217<br/>Kontraposition 39<br/>Reduktion auf Definitionen 32, 33<br/>Wenn-dann-Aussagen 34, 59<br/>Binärcodes 
Turing-Maschinen 422, 423<br/>Boolesche Ausdrücke Erfüllbarkeit 484<br/>Normalformen 494<br>

<span class="bmhighl">c 
Carmichael-Zahlen 569</span><br/>Chomsky, N. 24, 231, 311, 580<br/>Chomsky-Normalform (CNF) 311<br/>Definition 353<br>
Zeitkomplexität von Umwandlungs- verfahren 343<br/>Church, A. 367<br/>Church-Turing-These 367<br/>Cook, S. 24, 481<br/>Cook, Satz von 486<br/>CYK-Algorithmus 347<br>
<span class="bmhighl">D</span><br>
DEA siehe Deterministische endliche 
Automaten (DEA) Deduktive Beweise 
Begriffsdefinition 59<br/>DeMorgansche Regeln 496<br/>DeMorgansches Gesetz 170<br/>Deterministische endliche Automaten (DEA) 
Definition 71<br/>Minimierung 198<br/>Notationen 74, 75<br/>Sprache 79, 111<br/>Standardnotation 79<br/>Startzustand 72<br/>Tupel-Notation 72<br/>Übergangsdiagramme 74, 75<br/>Übergangsfunktion 72, 78<br/>Übergangstabellen 74, 75<br/>umwandeln in NEA 187<br/>umwandeln in reguläre Ausdrücke 
128, 129, 130, 131<br/>Verarbeitung von Zeichenreihen 72, 73, 74<br>
Deterministische Pushdown-Automaten 
(DPDA) 289<br/>Diagonalisierungssprache 424<br/>Distributivgesetz 38<br>
bei Mengen 149<br/>Dokumenttypdefinition (DTD) 238<br>
<span class="bmhighl">E</span><br>
Endliche Automaten deterministische 71<br/>nichtdeterministische 82<br>
Entscheidbarkeit 
kontextfreie Sprachen 341<br/>reguläre Sprachen 185<br/>Sprache 442<br/>Zeitkomplexität 186<br/>Epsilon-Übergänge 101<br/>Erfüllbarkeit 
Boolean Satisfiability (SAT) 484<br>
Fermats Satz kleiner 569<br/>letzter 358<br/>Floyd, R. W. 580<br>
<span class="bmhighl">G</span><br>
Gegenbeispiele, Beweise 60<br/>Genau-dann-wenn-Aussagen 35, 60<br/>Gischer, J. L. 577<br/>Gödel, K. 367<br/>Grammatiken 
endliche Automaten 27<br/>kontextfreie 59<br/>Greibach, S. 316<br/>grep 114<br>
<span class="bmhighl">H</span><br>
Halteproblem 377, 433<br/>Hamilton-Circuit Problem (HC) 512<br/>Hello, World-Programm 357<br/>Homomorphismen 174<br/>HTML (HyperText Markup Language) 236<br>
Identitäten 148<br>
IDs (Instantaneous Descriptions) 369<br/>Induktionsbeweise 43<br/>Induktionsprinzip 44<br/>Inferenz, rekursive 210<br>
<span class="bmhighl">K</span><br>
Kantenüberdeckung 511<br/>Karp-Vollständigkeit 481<br>
Pushdown- 
Kellerautomat siehe 
Automaten Kernighan, B. 357<br>

k-konjunktive Normalform 
(k-KNF) 494<br/>Klausel 494<br/>Kleenesche Hülle 115<br/>Knotenüberdeckung 511, 512<br/>Kommutativgesetz der Mengen- vereinigung 148<br/>Konfiguration 369<br/>Konjunktive Normalform (KNF) 494<br/>Konkatenation 55<br>
Kontextfreie Grammatiken (kfG) 207<br/>Kontextfreie Sprachen (kfS) 206<br/>Kontraposition 39, 60<br/>Konversion 40<br/>Kruskal-Algorithmus 472<br/>Kryptographische Systeme Problemklassen 530<br>
Las-Vegas-Algorithmus 559<br/>Lesk, M. 578<br/>lex 143, 144<br/>Literale 494<br>
<span class="bmhighl">M</span><br>
Markup-Sprachen 235<br/>McNaughton, R. 577<br/>Mehrdeutigkeit Grammatiken und Sprachen 245<br/>inhärent 252<br/>Eliminierung 256<br/>Unentscheidbarkeit 367<br/>Mengen 
Distributivgesetz der Vereinigung von 
Mengen 38<br/>Kommutativgesetz der Vereinigung von Mengen 38<br/>Minimum Weight Spanning Tree 
(MWST) 472<br/>Modifiziertes Postsches Korrespondenz- problem (MPKP) 449<br/>Modulararithmetik 565<br/>Monte-Carlo-Algorithmus 557<br>
<span class="bmhighl">N</span><br>
Nichtdeterministische endliche Automaten (NEA) 
Äquivalenz mit deterministischen 88<br/>Begriffs definition 111<br>
Definition 85<br>
Eliminierung von Zuständen 131<br/>erweiterte Übergangsfunktion 86<br/>informelle Darstellung 83<br/>Minimierung 201<br/>mit Epsilon-Übergängen 103<br/>Sprache 87<br/>Textsuche 98, 99<br/>Übergangsfunktion 83<br/>umwandeln in DE A 186<br/>umwandeln in reguläre Ausdrücke 131<br/>Nichtdeterministische Turing-Maschine 
(NTM) 391<br/>Nichthandhabbarkeit 470<br/>Problemklasse NP 477<br/>von nichtdeterministischer TM in polynomialem Zeitaufwand lösbare Probleme 476<br/>zufallsabhängige Sprachklassen 550<br/>Node-Cover Problem (NC) 511<br/>NP-Vollständigkeit 471 3SAT-Problem 503<br/>Beweise 505<br>
Komplemente von NP-vollständigen Problemen 531, 532, 533<br>
<span class="bmhighl">o 
Ogdens Lemma 327</span><br/>Operatoren Annihilator 148<br/>Einheit 148<br/>idempotente 150<br/>reguläre Ausdrücke 115<br/>Stern- 115<br/>Vereinigung 115<br/>Verkettung 115<br/>Vorrangregel 120<br>
Parsebäume Ergebnis 221<br>
kontextfreie Grammatiken (kfG) 219<br/>Parser 231<br>
YACC 234<br/>Postsches Korrespondenzproblem (PKP) 446<br/>Definition 446<br/>Primzahltest 562<br>

Probleme 3SAT 493<br>
auf Zufallsabhängigkeit 
basierende 553<br/>Begriffs definition 57<br/>Boolean Satisfiability (SAT) 480<br/>CSAT 498<br>
Definition als Sprache 58<br/>Erfüllbarkeit Boolescher 
Ausdrücke 483<br/>Gerichteter Hamiltonscher Kreis 513<br/>Hamiltonscher Kreis 477<br/>Handlungsreisender 520<br/>in polynomialem Platz lösbare 534<br/>Ja-/Nein-Formulierung 510<br/>Klasse Co-NP 530<br/>Klasse NP 476<br/>Klasse NPS 574<br/>Klasse P 471<br/>Klasse PS 530<br/>Klasse RP 551<br/>Klasse RPP 530<br/>Klasse ZPP 551<br/>Klassifizierung 24<br/>Knotenüberdeckung 511<br/>mit polynomialem Platz lösbare 535<br/>mit polynomialem Speicherplatz 
lösbare 534<br/>mit polynomialem Zeitaufwand 
lösbare 471<br/>MWST (Minimum Weight Spanning 
Tree) 472<br/>nicht handhabbare 470<br/>nicht von Computern lösbare 356<br/>NP-harte 480<br/>NP-vollständige 480<br/>NP-vollständige erfüllbare 527<br/>Problem des Handlungs- reisenden 477<br/>quantifizierte Boolesche 
Formeln 534<br/>Reduktion 362<br/>Traveling Salesman Problem 
(TSP) 477<br/>unabhängige Mengen 506<br/>unentscheidbare 359<br/>USAT 532<br>
von NTM in polynomialem Zeit- aufwand lösbare 476<br/>zufallsabhängige 550<br>
Produktautomaten 68, 170, 172<br/>Programmiertechniken Turing-Maschinen 379<br/>Unterprogramme 383<br/>Pseudozufallszahlen 550<br/>PS-Vollständigkeit Beweise 541<br/>Definition 540<br>
Problem quantifizierter Boolescher Formeln 544<br/>Pumping-Lemma 232<br/>Anwendungen 162<br/>Definition 160<br>
für kontextfreie Sprachen 319<br/>Pushdown-Automaten (PDA) 260<br>
<span class="bmhighl">Q</span><br>
Quantifizierte Boolesche Formel 
(QBF) 541<br/>Quicksort-Algorithmus 551<br>
<span class="bmhighl">R</span><br>
Reduktion 362<br/>mit polynomialem Zeitaufwand 478<br/>Richtung 365<br>
unentscheidbare Probleme 436<br/>Reguläre Ausdrücke algebraische Gesetze 147<br/>Annihilatoren bzgl. Operatoren 148<br/>Anwendungen 114<br/>äquivalenten DEA konstruieren 122<br/>äquivalenten NEA konstruieren 131<br/>Äquivalenz von Ausdrücken 147<br/>Assoziativität 147<br/>aus endlichen Automaten 134<br/>Auswertungsreihenfolge der 
Operatoren 120<br/>bilden 117<br/>Definition 117<br>
deterministische endliche Automaten 
(DEA) repräsentieren 122<br/>Distributivgesetze 149<br/>Einheit bzgl. Operatoren 148<br/>grep 114<br>
Gültigkeit algebraischer Gesetze 
prüfen 151<br/>Idempotenzgesetz 150<br/>Kommutativität 147<br/>Komponenten 117<br>

lexikalische Analyse 114<br/>nichtdeterministische endliche Auto- maten (NEA) repräsentieren 131<br/>Operatoren 115<br/>Sprachen 118<br/>Sternoperator 115<br/>Textmustersuche 144<br/>Unix-Notation 140<br/>Verhältnis zu endlichen Automaten 122<br/>Rice, Satz von 442<br/>Ritchie, D. 357<br/>Rivest, R. 563<br/>RSA-Codes 563<br>
Savitch, Satz von 539<br/>Schubfachprinzip 94<br/>Shamir, A. 563<br/>Spiegelung 
kontextfreie Sprachen 332<br/>Sprachen Begriffsdefinition 56<br/>Beispiele 56<br/>Beschreibung durch 
Mengenvorschrift 57<br/>Beschreibung von Problemen 58<br/>Beweis der Nichtregularität 160<br/>Co-NP 531<br>
deterministische endliche 
Automaten 111<br/>deterministische Pushdown- 
Automaten 291<br/>Diagonalisierungs- 424<br/>Kleenesche Hülle 115<br/>Komplemente rekursiv 
aufzählbarer 427<br/>Komplemente rekursiver 427<br/>kontextfreie 462<br/>nicht rekursiv aufzählbare 421, 
423, 425<br/>nicht rekursive 427, 428<br/>Präfixeigenschaft 291<br/>Pushdown-Automaten 270<br/>reguläre 79<br>
reguläre Ausdrücke 114<br/>rekursiv aufzählbare 377<br/>rekursive 427<br/>universelle 430<br/>universelle und Unentscheid- 
barkeit 433, 434<br/>Vereinigung 115<br/>Verkettung 115<br>
<span class="bmhighl">T</span><br>
Table-filling-Algorithmus 193<br/>Tautologien 532<br/>Teilmengenkonstruktion 88<br/>Textsuche 97<br>
invertierte Indexe 97<br/>Thompson, K. 578<br/>Turing, A. M. 24, 357, 360, 367<br/>Turing-Maschinen 356<br/>Äquivalenz zwischen ein- und 
mehrbändigen 388<br/>Ausführungszeit 390<br/>Begriffsdefinition 59<br/>beschränkte 396<br/>Bewegung 368<br/>Binärcodes 422<br/>Eingabealphabet 368<br/>endliche Steuerung 368<br/>endliche Zustandsmenge 389<br/>erweiterte 386<br/>Halteproblem 377<br/>ID (Instanteneous Description) 369<br/>Konfigurationen 417<br/>Kruskal-Algorithmus 474<br/>Las-Vegas- 560<br/>leere Sprache 438<br/>Leerzeichen 368<br/>mit mehreren Bändern 386<br/>mit mehreren Spuren 417<br/>mit mehreren Stacks 400<br/>mit polynomialer 
Platzbegrenzung 534<br/>Monte-Carlo- 560<br/>nicht rekursiv aufzählbare 
Sprachen 421<br/>nichtdeterministische 391<br/>Notation 368<br>
polynomiale Länge der Eingabe 530<br/>Probleme hinsichtlich Spezifikationen 444<br/>Problemklassifizierung 366<br/>Programmiertechniken 379<br/>Rechenzeit 413<br/>semiunendliche Bänder 397<br>

Simulation durch Computer 407<br/>Simulation von Computern 409<br/>Sprache 376<br>
Stackanfangsmarkierung 401<br/>Übergangsdiagramme 373<br/>Übergangsfunktion 369<br/>unentscheibare Probleme 436<br/>Unentscheidbarkeit 360<br/>universelle 430<br/>Unterprogramme 383<br/>Zählermaschinen 403<br/>Zeitkomplexität 390<br/>zufallsabhängige 552<br/>zweidimensionale 396<br>
<span class="bmhighl">u 
Übergangs diagramme 74</span><br/>Begriffsdefinition 111<br/>Pushdown-Automaten 264<br/>Turing-Maschinen 373<br/>Übergangsfunktion 85<br>
deterministische endliche Automaten 
(DEA) 72<br/>erweiterte 75<br>
nichtdeterministische endliche 
Automaten (NEA) 83<br/>Turing-Maschinen 369<br/>zufallsabhängige Turing- Maschine 555<br/>Übergangstabellen 75<br/>Umkehrung, Beweise 60<br/>Unentscheidbarkeit 362<br/>Begriffs definition 466<br/>kontextfreie Sprachen 462<br/>Mehrdeutigkeit kontextfreier 
Grammatiken 459<br/>Modifiziertes Postsches Korrespon- denzproblem (MPKP) 449<br/>Postsches Korrespondenzproblem 
(PKP) 446<br/>Reduktion von Problemen 365<br/>rekursiv aufzählbare Sprachen 426<br/>rekursive Sprachen 428<br/>Satz von Rice 442<br/>Turing-Maschinen 436<br/>universelle Sprachen 433<br>
Unix 
reguläre Ausdrücke 140<br>
<span class="bmhighl">w 
Warshallsch-Algorithmus 187</span><br>
Wenn-dann-Aussagen 34, 59<br>
Widerspruch, Beweise 41, 60<br>
<span class="bmhighl">x 
XML (eXtensible Markup Language) 231, 238</span><br/>Dokumenttypdefinition (DTD) 231<br>
<span class="bmhighl">Y</span><br>
YACC-Parsergenerator 234<br>
Yamada, H. 577<br>
<span class="bmhighl">z 
Zählermaschinen 403</span><br/>Begriffsdefinition 418<br/>Leistungsfähigkeit 404<br/>Sprache 404<br>
Zeichenreihen 
Begriffsdefinition 54, 60<br/>Konkatenation 55<br/>Länge 54<br/>leere 54<br/>Verkettung 55<br>
Zeitkomplexität Äquivalenz von regulären Sprachen 
bestimmen 191<br/>Entscheidbarkeit regulärer 
Sprachen 186, 189<br/>polynomiale 476<br/>Turing-Maschinen 390, 391, 471<br/>Wechsel zwischen Repräsentationen 
regulärer Sprachen 187<br/>Zugehörigkeit zu regulärer Sprache bestimmen 190, 191<br>
Zufallsabhängigkeit Turing-Maschine 552<br/>ZW 559<br>
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