Verfügbarkeit: Automata theory and formal languages

Automata theory and formal languages:

The book is a concise, self-contained and fully updated introduction to automata theory - a fundamental topic of computer sciences and engineering. The material is presented in a rigorous yet convincing way and is supplied with a wealth of examples, exercises and down-to-the earth convincing explana...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser:	Homenda, Władysław (VerfasserIn), Pedrycz, Witold 1953- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin ; Boston De Gruyter [2022]
Schlagworte:	Automaten Digitale Systeme Formale Sprachen Turing Maschinen COMPUTERS / Information Theory Automatentheorie Formale Sprache
Online-Zugang:	Inhaltsverzeichnis
Zusammenfassung:	The book is a concise, self-contained and fully updated introduction to automata theory - a fundamental topic of computer sciences and engineering. The material is presented in a rigorous yet convincing way and is supplied with a wealth of examples, exercises and down-to-the earth convincing explanatory notes. An ideal text to a spectrum of one-term courses in computer sciences, both at the senior undergraduate and graduate students
Beschreibung:	XIII, 231 Seiten
ISBN:	9783110752274

Internformat

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Datensatz im Suchindex

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adam_text	CONTENTS FOREWORD - V PREFACE - VII 1 PRELIMINARIES - 1 1.1 SETS - 1 1.2 RELATIONS ---- 3 1.2.1 MULTIPLACE RELATIONS - 3 1.2.2 TWO PLACE RELATIONS - 4 1.2.3 BINARY RELATIONS - 6 1.2.4 EQUIVALENCE RELATIONS - 7 1.2.5 CLOSURE OF RELATIONS - 7 1.3 MATHEMATICAL INDUCTION - 9 1.4 GRAPHS AND TREES - 10 1.4.1 GRAPHS - 11 1.4.2 TREES - 11 1.5 LANGUAGES - 13 1.5.1 BASIC DEFINITIONS ---- 13 1.5.2 OPERATIONS ON LANGUAGES - 14 1.6 GRAMMARS - 17 1.7 PROBLEMS - 19 PART I: GRAMMARS AND GENERATING LANGUAGES 2 REGULAR EXPRESSIONS AND REGULAR LANGUAGES - 25 2.1 REGULAR EXPRESSIONS AND REGULAR LANGUAGES - 25 2.1.1 REGULAR EXPRESSIONS - 25 2.1.2 REGULAR LANGUAGES - 27 2.1.3 THE MYHILL-NERODE LEMMA - 29 2.1.4 THE PUMPING LEMMA - 30 2.1.5 REGULAR GRAMMARS - 32 2.2 PROBLEMS ----- 35 3 CONTEXT-FREE GRAM MARS - 37 3.1 CONTEXT-FREE GRAMMARS - BASICS - 37 3.2 SIMPLIFICATION OF CONTEXT-FREE GRAMMARS - 42 3.2.1 USELESS SYMBOLS - 42 3.2.2 NULLABLE SYMBOLS AND -PRODUCTIONS - 45 3.2.3 UNIT PRODUCTIONS - 48 XII - - CONTENTS 3.3 3.3.1 3.3.2 3.4 3.4.1 3.4.2 3.5 3.6 3.6.1 3.6.2 3.7 NORMAL FORMS OF CONTEXT-FREE GRAMMARS - 50 CHOMSKY NORMAL FORM - 50 GREIBACH NORMAL FORM - 53 PUMPING AND OGDEN LEMMAS ---- 57 THE PUMPING LEMMA - 57 THE OGDEN LEMMA - 61 CONTEXT-FREE LANGUAGE MEMBERSHIP - 63 APPLICATIONS - 69 TRANSLATION GRAMMARS - 69 LL(1) GRAMMARS - 70 PROBLEMS - 76 4 4.1 4.2 CONTEXT-SENSITIVE GRAMMARS AND UNRESTRICTED GRAMMARS - 81 CONTEXT-SENSITIVE GRAMMARS - 81 UNRESTRICTED GRAMMARS - 87 PART II: AUTOMATA AND ACCEPTING LANGUAGES 5 5.1 5.1.1 5.1.2 5.1.3 5.1.4 5.1.5 5.1.6 5.1.7 5.1.8 5.2 5.3 5.4 TURING MACHINES - 93 DETERMINISTIC TURING MACHINES - 93 BASIC MODEL OF TURING MACHINES - 94 TURING MACHINE WITH THE STOP PROPERTY - 100 SIMPLIFYING THE STOP CONDITION - 102 GUARDING THE TAPE BEGINNING - 103 TURING MACHINES WITH A MULTITRACK TAPE ---- 106 TURING MACHINES WITH TWO-WAY INFINITE TAPE - 108 MULTITAPE TURING MACHINES - 111 PROGRAMMING WITH TURING MACHINES - 117 NONDETERMINISTIC TURING MACHINES - 122 LINEAR BOUNDED AUTOMATA - 130 PROBLEMS - 134 6 6.1 6.2 6.3 6.4 6.5 PUSHDOWN AUTOMATA - 139 NONDETERMINISTIC PUSHDOWN AUTOMATA - 139 DETERMINISTIC PUSHDOWN AUTOMATA - 145 ACCEPTING STATES VERSUS EMPTY STACK - 148 PUSHDOWN AUTOMATA AS TURING MACHINES - 150 PROBLEMS - 152 7 7.1 FINITE AUTOMATA - 156 DETERMINISTIC FINITE AUTOMATA - 156 CONTENTS - XIII 7.2 NONDETERMINISTIC FINITE AUTOMATA - 162 7.3 FINITE AUTOMATA WITH E-TRANSITIONS - 171 7.4 FINITE AUTOMATA AS TURING MACHINES - 180 7.5 PROBLEMS - 182 PART III: REVISITED: LANGUAGES, GRAMMARS, AUTOMATA 8 GRAMMARS VERSUS AUTOMATA - 187 8.1 REGULAR EXPRESSIONS, REGULAR GRAMMARS AND FINITE AUTOMATA - 187 8.1.1 REGULAR EXPRESSIONS VERSUS FINITE AUTOMATA - 187 8.1.2 REGULAR GRAMMARS VERSUS FINITE AUTOMATA - 193 8.1.3 THE PUMPING LEMMA - 197 8.1.4 THE MYHILL-NERODE THEOREM - 199 8.1.5 MINIMIZATION OF DETERMINISTIC FINITE AUTOMATA - 200 8.2 MORE GRAMMARS AND AUTOMATA - 201 8.2.1 CONTEXT-FREE GRAMMARS VERSUS PUSHDOWN AUTOMATA - 201 8.2.2 UNRESTRICTED GRAMMARS VERSUS TURING MACHINES - 205 8.2.3 CONTEXT-SENSITIVE GRAMMARS VERSUS LINEAR BOUNDED AUTOMATA - 207 9 AROUND THE HIERARCHY OF LANGUAGES - 208 9.1 MORE OPERATIONS ON LANGUAGES - 208 9.1.1 SUBSTITUTIONS, HOMOMORPHISMS - 208 9.1.2 QUOTIENTS ---- 211 9.1.3 BUILDING AUTOMATA WITH QUOTIENTS - 212 9.2 CLOSURE ---- 214 9.3 THE HIERARCHY OF LANGUAGES - 219 BIBLIOGRAPHY - 227 INDEX - 229
adam_txt	CONTENTS FOREWORD - V PREFACE - VII 1 PRELIMINARIES - 1 1.1 SETS - 1 1.2 RELATIONS ---- 3 1.2.1 MULTIPLACE RELATIONS - 3 1.2.2 TWO PLACE RELATIONS - 4 1.2.3 BINARY RELATIONS - 6 1.2.4 EQUIVALENCE RELATIONS - 7 1.2.5 CLOSURE OF RELATIONS - 7 1.3 MATHEMATICAL INDUCTION - 9 1.4 GRAPHS AND TREES - 10 1.4.1 GRAPHS - 11 1.4.2 TREES - 11 1.5 LANGUAGES - 13 1.5.1 BASIC DEFINITIONS ---- 13 1.5.2 OPERATIONS ON LANGUAGES - 14 1.6 GRAMMARS - 17 1.7 PROBLEMS - 19 PART I: GRAMMARS AND GENERATING LANGUAGES 2 REGULAR EXPRESSIONS AND REGULAR LANGUAGES - 25 2.1 REGULAR EXPRESSIONS AND REGULAR LANGUAGES - 25 2.1.1 REGULAR EXPRESSIONS - 25 2.1.2 REGULAR LANGUAGES - 27 2.1.3 THE MYHILL-NERODE LEMMA - 29 2.1.4 THE PUMPING LEMMA - 30 2.1.5 REGULAR GRAMMARS - 32 2.2 PROBLEMS ----- 35 3 CONTEXT-FREE GRAM MARS - 37 3.1 CONTEXT-FREE GRAMMARS - BASICS - 37 3.2 SIMPLIFICATION OF CONTEXT-FREE GRAMMARS - 42 3.2.1 USELESS SYMBOLS - 42 3.2.2 NULLABLE SYMBOLS AND -PRODUCTIONS - 45 3.2.3 UNIT PRODUCTIONS - 48 XII - - CONTENTS 3.3 3.3.1 3.3.2 3.4 3.4.1 3.4.2 3.5 3.6 3.6.1 3.6.2 3.7 NORMAL FORMS OF CONTEXT-FREE GRAMMARS - 50 CHOMSKY NORMAL FORM - 50 GREIBACH NORMAL FORM - 53 PUMPING AND OGDEN LEMMAS ---- 57 THE PUMPING LEMMA - 57 THE OGDEN LEMMA - 61 CONTEXT-FREE LANGUAGE MEMBERSHIP - 63 APPLICATIONS - 69 TRANSLATION GRAMMARS - 69 LL(1) GRAMMARS - 70 PROBLEMS - 76 4 4.1 4.2 CONTEXT-SENSITIVE GRAMMARS AND UNRESTRICTED GRAMMARS - 81 CONTEXT-SENSITIVE GRAMMARS - 81 UNRESTRICTED GRAMMARS - 87 PART II: AUTOMATA AND ACCEPTING LANGUAGES 5 5.1 5.1.1 5.1.2 5.1.3 5.1.4 5.1.5 5.1.6 5.1.7 5.1.8 5.2 5.3 5.4 TURING MACHINES - 93 DETERMINISTIC TURING MACHINES - 93 BASIC MODEL OF TURING MACHINES - 94 TURING MACHINE WITH THE STOP PROPERTY - 100 SIMPLIFYING THE STOP CONDITION - 102 GUARDING THE TAPE BEGINNING - 103 TURING MACHINES WITH A MULTITRACK TAPE ---- 106 TURING MACHINES WITH TWO-WAY INFINITE TAPE - 108 MULTITAPE TURING MACHINES - 111 PROGRAMMING WITH TURING MACHINES - 117 NONDETERMINISTIC TURING MACHINES - 122 LINEAR BOUNDED AUTOMATA - 130 PROBLEMS - 134 6 6.1 6.2 6.3 6.4 6.5 PUSHDOWN AUTOMATA - 139 NONDETERMINISTIC PUSHDOWN AUTOMATA - 139 DETERMINISTIC PUSHDOWN AUTOMATA - 145 ACCEPTING STATES VERSUS EMPTY STACK - 148 PUSHDOWN AUTOMATA AS TURING MACHINES - 150 PROBLEMS - 152 7 7.1 FINITE AUTOMATA - 156 DETERMINISTIC FINITE AUTOMATA - 156 CONTENTS - XIII 7.2 NONDETERMINISTIC FINITE AUTOMATA - 162 7.3 FINITE AUTOMATA WITH E-TRANSITIONS - 171 7.4 FINITE AUTOMATA AS TURING MACHINES - 180 7.5 PROBLEMS - 182 PART III: REVISITED: LANGUAGES, GRAMMARS, AUTOMATA 8 GRAMMARS VERSUS AUTOMATA - 187 8.1 REGULAR EXPRESSIONS, REGULAR GRAMMARS AND FINITE AUTOMATA - 187 8.1.1 REGULAR EXPRESSIONS VERSUS FINITE AUTOMATA - 187 8.1.2 REGULAR GRAMMARS VERSUS FINITE AUTOMATA - 193 8.1.3 THE PUMPING LEMMA - 197 8.1.4 THE MYHILL-NERODE THEOREM - 199 8.1.5 MINIMIZATION OF DETERMINISTIC FINITE AUTOMATA - 200 8.2 MORE GRAMMARS AND AUTOMATA - 201 8.2.1 CONTEXT-FREE GRAMMARS VERSUS PUSHDOWN AUTOMATA - 201 8.2.2 UNRESTRICTED GRAMMARS VERSUS TURING MACHINES - 205 8.2.3 CONTEXT-SENSITIVE GRAMMARS VERSUS LINEAR BOUNDED AUTOMATA - 207 9 AROUND THE HIERARCHY OF LANGUAGES - 208 9.1 MORE OPERATIONS ON LANGUAGES - 208 9.1.1 SUBSTITUTIONS, HOMOMORPHISMS - 208 9.1.2 QUOTIENTS ---- 211 9.1.3 BUILDING AUTOMATA WITH QUOTIENTS - 212 9.2 CLOSURE ---- 214 9.3 THE HIERARCHY OF LANGUAGES - 219 BIBLIOGRAPHY - 227 INDEX - 229
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author	Homenda, Władysław Pedrycz, Witold 1953-
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classification_rvk	ST 136
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discipline	Informatik
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spelling	Homenda, Władysław Verfasser (DE-588)1245413953 aut Automata theory and formal languages Wladyslaw Homenda, Witold Pedrycz Berlin ; Boston De Gruyter [2022] © 2022 XIII, 231 Seiten txt rdacontent n rdamedia nc rdacarrier The book is a concise, self-contained and fully updated introduction to automata theory - a fundamental topic of computer sciences and engineering. The material is presented in a rigorous yet convincing way and is supplied with a wealth of examples, exercises and down-to-the earth convincing explanatory notes. An ideal text to a spectrum of one-term courses in computer sciences, both at the senior undergraduate and graduate students Automaten Digitale Systeme Formale Sprachen Turing Maschinen COMPUTERS / Information Theory bisacsh Automatentheorie (DE-588)4003953-5 gnd rswk-swf Formale Sprache (DE-588)4017848-1 gnd rswk-swf Automatentheorie (DE-588)4003953-5 s Formale Sprache (DE-588)4017848-1 s DE-604 Pedrycz, Witold 1953- Verfasser (DE-588)122838203 aut Erscheint auch als Online-Ausgabe, PDF 978-3-11-075230-4 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-075231-1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033292438&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Homenda, Władysław Pedrycz, Witold 1953- Automata theory and formal languages Automaten Digitale Systeme Formale Sprachen Turing Maschinen COMPUTERS / Information Theory bisacsh Automatentheorie (DE-588)4003953-5 gnd Formale Sprache (DE-588)4017848-1 gnd
subject_GND	(DE-588)4003953-5 (DE-588)4017848-1
title	Automata theory and formal languages
title_auth	Automata theory and formal languages
title_exact_search	Automata theory and formal languages
title_exact_search_txtP	Automata theory and formal languages
title_full	Automata theory and formal languages Wladyslaw Homenda, Witold Pedrycz
title_fullStr	Automata theory and formal languages Wladyslaw Homenda, Witold Pedrycz
title_full_unstemmed	Automata theory and formal languages Wladyslaw Homenda, Witold Pedrycz
title_short	Automata theory and formal languages
title_sort	automata theory and formal languages
topic	Automaten Digitale Systeme Formale Sprachen Turing Maschinen COMPUTERS / Information Theory bisacsh Automatentheorie (DE-588)4003953-5 gnd Formale Sprache (DE-588)4017848-1 gnd
topic_facet	Automaten Digitale Systeme Formale Sprachen Turing Maschinen COMPUTERS / Information Theory Automatentheorie Formale Sprache
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033292438&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT homendawładysław automatatheoryandformallanguages AT pedryczwitold automatatheoryandformallanguages

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