The Resource A Course in Formal Languages, Automata and Groups, by Ian M. Chiswell, (electronic resource)

A Course in Formal Languages, Automata and Groups, by Ian M. Chiswell, (electronic resource)

Label
A Course in Formal Languages, Automata and Groups
Title
A Course in Formal Languages, Automata and Groups
Statement of responsibility
by Ian M. Chiswell
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Based on the author’s lecture notes for an MSc course, this text combines formal language and automata theory and group theory, a thriving research area that has developed extensively over the last twenty-five years. The aim of the first three chapters is to give a rigorous proof that various notions of recursively enumerable language are equivalent. Chapter One begins with languages defined by Chomsky grammars and the idea of machine recognition, contains a discussion of Turing Machines, and includes work on finite state automata and the languages they recognise. The following chapters then focus on topics such as recursive functions and predicates; recursively enumerable sets of natural numbers; and the group-theoretic connections of language theory, including a brief introduction to automatic groups. Highlights include: A comprehensive study of context-free languages and pushdown automata in Chapter Four, in particular a clear and complete account of the connection between LR(k) languages and deterministic context-free languages. A self-contained discussion of the significant Muller-Schupp result on context-free groups. Enriched with precise definitions, clear and succinct proofs and worked examples, the book is aimed primarily at postgraduate students in mathematics but will also be of great interest to researchers in mathematics and computer science who want to learn more about the interplay between group theory and formal languages. A solutions manual is available to instructors via www.springer.com
Member of
Is Subseries of
http://library.link/vocab/creatorName
Chiswell, Ian M
Dewey number
511.3
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
7ilTaASMlf8
Language note
English
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Group theory
  • Computer science
  • Algebraic topology
  • Cell aggregation
  • Algebra
  • Group Theory and Generalizations
  • Mathematical Logic and Formal Languages
  • Algebraic Topology
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Category Theory, Homological Algebra
Label
A Course in Formal Languages, Automata and Groups, by Ian M. Chiswell, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 151-152) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Contents -- 1. Grammars and Machine Recognition -- 2. Recursive Functions -- 3. Recursively Enumerable Sets and Languages -- 4. Context-free language -- 5. Connections with Group Theory -- A. Results and Proofs Omitted in the Text -- B. The Halting Problem and Universal Turing Machines -- C. Cantor's Diagonal Argument -- D. Solutions to Selected Exercises -- References -- Index
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (164 p.)
Form of item
online
Isbn
9781848009400
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-940-0
Specific material designation
remote
System control number
  • (CKB)1000000000546242
  • (EBL)417706
  • (OCoLC)310335658
  • (SSID)ssj0000131512
  • (PQKBManifestationID)11152945
  • (PQKBTitleCode)TC0000131512
  • (PQKBWorkID)10004826
  • (PQKB)11023079
  • (DE-He213)978-1-84800-940-0
  • (MiAaPQ)EBC417706
  • (EXLCZ)991000000000546242
Label
A Course in Formal Languages, Automata and Groups, by Ian M. Chiswell, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 151-152) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Contents -- 1. Grammars and Machine Recognition -- 2. Recursive Functions -- 3. Recursively Enumerable Sets and Languages -- 4. Context-free language -- 5. Connections with Group Theory -- A. Results and Proofs Omitted in the Text -- B. The Halting Problem and Universal Turing Machines -- C. Cantor's Diagonal Argument -- D. Solutions to Selected Exercises -- References -- Index
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (164 p.)
Form of item
online
Isbn
9781848009400
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-940-0
Specific material designation
remote
System control number
  • (CKB)1000000000546242
  • (EBL)417706
  • (OCoLC)310335658
  • (SSID)ssj0000131512
  • (PQKBManifestationID)11152945
  • (PQKBTitleCode)TC0000131512
  • (PQKBWorkID)10004826
  • (PQKB)11023079
  • (DE-He213)978-1-84800-940-0
  • (MiAaPQ)EBC417706
  • (EXLCZ)991000000000546242

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