Automata and computability:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Springer
1997
|
Schriftenreihe: | Undergraduate texts in computer science
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
Beschreibung: | XIII, 400 S. graph. Darst. |
ISBN: | 0387949070 |
Internformat
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Datensatz im Suchindex
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adam_text | Contents
Preface vii
Lectures 1
Introduction
1 Course Roadmap and Historical Perspective............ 3
2 Strings and Sets .................................... 7
Finite Automata and Regular Sets
3 Finite Automata and Regular Sets................... 14
4 More on Regular Sets ............................... 19
5 Nondeterministic Finite Automata.................... 25
6 The Subset Construction............................ 32
7 Pattern Matching ................................... 40
8 Pattern Matching and Regular Expressions.......... . 44
9 Regular Expressions and Finite Automata............. 49
A Kleene Algebra and Regular Expressions.............. 55
TO Homomorphisms ...................................... 61
11 Limitations of Finite Automata...................... 67
12 Using the Pumping Lemma ............................ 72
13 DFA State Minimization.............................. 77
14 A Minimization Algorithm......................... 84
15 Myhill-Nerode Relations............................ 89
16 The Myhill-Nerode Theorem .......................... 95
B Collapsing Nondeterministic Automata.........
C Automata on Terms............................
D The Myhill-Nerode Theorem for Term Automata
17 Two-Way Finite Automata....................
18 2DFAs and Regular Sets.....................
Pushdown Automata and Context-Free Languages
19 Context-Free Grammars and Languages........
20 Balanced Parentheses ......................
21 Normal Forms...............................
22 The Pumping Lemma for CFLs.................
23 Pushdown Automata..........................
E Final State Versus Empty Stack...............
24 PDAs and CFGs..............................
25 Simulating NPDAs by CFGs .................. .
F Deterministic Pushdown Automata..............
26 Parsing....................................
27 The Cocke-Kasami-Younger Algorithm.........
G The Chomsky-Schiitzenberger Theorem..........
H Parikh’s Theorem.................. . . ......
Turing Machines and Effective Computability
28 Turing Machines and Effective Computability . .
29 More on Turing Machines....................
30 Equivalent Models.................
31 Universal Machines and Diagonalization.....
32 Decidable and Undecidable Problems.........
33 Reduction..................................
34 Rice’s Theorem . . . ......................
35 Undecidable Problems About CFLs............
36 Other Formalisms ..........................
37 The A-Calculus . ..........................
I While Programs.............................
J Beyond Undecidability ......................
38 Gôdel’s Incompleteness Theorem.............
39 Proof of the Incompleteness Theorem .......
K Gôdel’s Proof................................
Exercises
Homework Sets
Homework 1 ...... .............................
Homework 2 . . ................................
Contents xiii
Homework 3......................................... 303
Homework 4..........................................304
Homework 5..........................................306
Homework 6..........................................307
Homework 7..........................................308
Homework 8..........................................309
Homework 9..........................................310
Homework 10 ........................................311
Homework 11 ........................................312
Homework 12 ........................................313
Miscellaneous Exercises
Finite Automata and Regular Sets....................315
Pushdown Automata and Context-Free Languages........333
Turing Machines and Effective Computability.........340
Hints and Solutions
Hints for Selected Miscellaneous Exercises..........351
Solutions to Selected Miscellaneous Exercises.......357
References 373
Notation and Abbreviations 381
Index
389
|
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author | Kozen, Dexter 1951- |
author_GND | (DE-588)135740436 |
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author_sort | Kozen, Dexter 1951- |
author_variant | d k dk |
building | Verbundindex |
bvnumber | BV011380760 |
callnumber-first | Q - Science |
callnumber-label | QA267 |
callnumber-raw | QA267 |
callnumber-search | QA267 |
callnumber-sort | QA 3267 |
callnumber-subject | QA - Mathematics |
classification_rvk | ST 130 ST 136 |
ctrlnum | (OCoLC)247466015 (DE-599)BVBBV011380760 |
dewey-full | 511.3 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 511 - General principles of mathematics |
dewey-raw | 511.3 |
dewey-search | 511.3 |
dewey-sort | 3511.3 |
dewey-tens | 510 - Mathematics |
discipline | Informatik Mathematik |
format | Book |
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indexdate | 2024-07-09T18:08:46Z |
institution | BVB |
isbn | 0387949070 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007648480 |
oclc_num | 247466015 |
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physical | XIII, 400 S. graph. Darst. |
publishDate | 1997 |
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publisher | Springer |
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series2 | Undergraduate texts in computer science |
spelling | Kozen, Dexter 1951- Verfasser (DE-588)135740436 aut Automata and computability Dexter C. Kozen New York [u.a.] Springer 1997 XIII, 400 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in computer science Hier auch später erschienene, unveränderte Nachdrucke Computable functions Machine theory Turing-Maschine (DE-588)4203525-9 gnd rswk-swf Endlicher Automat (DE-588)4224518-7 gnd rswk-swf Kellerautomat (DE-588)4325471-8 gnd rswk-swf Berechenbarkeit (DE-588)4138368-0 gnd rswk-swf Automatentheorie (DE-588)4003953-5 gnd rswk-swf Reguläre Menge (DE-588)4462639-3 gnd rswk-swf Kontextfreie Grammatik (DE-588)4032281-6 gnd rswk-swf Automatentheorie (DE-588)4003953-5 s DE-604 Endlicher Automat (DE-588)4224518-7 s Reguläre Menge (DE-588)4462639-3 s Kellerautomat (DE-588)4325471-8 s Kontextfreie Grammatik (DE-588)4032281-6 s Turing-Maschine (DE-588)4203525-9 s Berechenbarkeit (DE-588)4138368-0 s Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007648480&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kozen, Dexter 1951- Automata and computability Computable functions Machine theory Turing-Maschine (DE-588)4203525-9 gnd Endlicher Automat (DE-588)4224518-7 gnd Kellerautomat (DE-588)4325471-8 gnd Berechenbarkeit (DE-588)4138368-0 gnd Automatentheorie (DE-588)4003953-5 gnd Reguläre Menge (DE-588)4462639-3 gnd Kontextfreie Grammatik (DE-588)4032281-6 gnd |
subject_GND | (DE-588)4203525-9 (DE-588)4224518-7 (DE-588)4325471-8 (DE-588)4138368-0 (DE-588)4003953-5 (DE-588)4462639-3 (DE-588)4032281-6 |
title | Automata and computability |
title_auth | Automata and computability |
title_exact_search | Automata and computability |
title_full | Automata and computability Dexter C. Kozen |
title_fullStr | Automata and computability Dexter C. Kozen |
title_full_unstemmed | Automata and computability Dexter C. Kozen |
title_short | Automata and computability |
title_sort | automata and computability |
topic | Computable functions Machine theory Turing-Maschine (DE-588)4203525-9 gnd Endlicher Automat (DE-588)4224518-7 gnd Kellerautomat (DE-588)4325471-8 gnd Berechenbarkeit (DE-588)4138368-0 gnd Automatentheorie (DE-588)4003953-5 gnd Reguläre Menge (DE-588)4462639-3 gnd Kontextfreie Grammatik (DE-588)4032281-6 gnd |
topic_facet | Computable functions Machine theory Turing-Maschine Endlicher Automat Kellerautomat Berechenbarkeit Automatentheorie Reguläre Menge Kontextfreie Grammatik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007648480&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT kozendexter automataandcomputability |