Formal languages, automata and numeration systems. (Record no. 21853)

MARC details
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001 - CONTROL NUMBER
control field ocn890798347
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control field OCoLC
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230823094932.0
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007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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fixed length control field 140918s2014 enk ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency N$T
Language of cataloging eng
Description conventions rda
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019 ## -
-- 890981770
-- 892984534
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781119008217
Qualifying information (electronic bk.)
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ISBN 1119008212
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ISBN 9781119008200
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1119008204
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9781119042853
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 1119042852
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781848216150
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OCLC library identifier AU@
System control number 000053548472
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OCLC library identifier CHBIS
System control number 010259827
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OCLC library identifier CHBIS
System control number 010346039
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OCLC library identifier CHVBK
System control number 325940320
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OCLC library identifier CHVBK
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OCLC library identifier DEBSZ
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OCLC library identifier NZ1
System control number 15909348
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OCLC library identifier GBVCP
System control number 814874975
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OCLC library identifier DEBBG
System control number BV043648147
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)890798347
Canceled/invalid control number (OCoLC)890981770
-- (OCoLC)892984534
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA267
072 #7 - SUBJECT CATEGORY CODE
Subject category code COM
Subject category code subdivision 051010
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 005.13/1
Edition number 23
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Rigo, Michel.
245 10 - TITLE STATEMENT
Title Formal languages, automata and numeration systems.
Number of part/section of a work 1,
Name of part/section of a work Introduction to combinatorics on words /
Statement of responsibility, etc Michel Rigo.
246 30 - VARYING FORM OF TITLE
Title proper/short title Introduction to combinatorics on words
264 #1 -
-- London :
-- Wiley,
-- 2014.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource.
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-- text
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-- computer
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-- online resource
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490 1# - SERIES STATEMENT
Series statement Networks and telecommunications series
500 ## - GENERAL NOTE
General note Title from PDF title page (viewed on Sept. 18, 2014).
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 00 - FORMATTED CONTENTS NOTE
Miscellaneous information Vol. 1
Title Introduction to combinatorics on words.
505 00 - FORMATTED CONTENTS NOTE
Miscellaneous information Vol. 2
Title Applications to recognizability and decidability.
520 8# - SUMMARY, ETC.
Summary, etc Annotation
Expansion of summary note Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory).Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory. Contents to include: - algebraic structures, homomorphisms, relations, free monoid - finite words, prefixes, suffixes, factors, palindromes- periodicity and Fine-Wilf theorem- infinite words are sequences over a finite alphabet- properties of an ultrametric distance, example of the p-adic norm- topology of the set of infinite words- converging sequences of infinite and finite words, compactness argument- iterated morphism, coding, substitutive or morphic words- the typical example of the Thue-Morse word- the Fibonacci word, the Mex operator, the n-bonacci words- wordscomingfromnumbertheory(baseexpansions, continuedfractions ...) - the taxonomy of Lindenmayer systems- S-adic sequences, Kolakoski word- repetition in words, avoiding repetition, repetition threshold- (complete) de Bruijn graphs- concepts from computability theory and decidability issues- Post correspondence problem and application to mortality of matrices- origins of combinatorics on words- bibliographic notes- languages of finite words, regular languages- factorial, prefix/suffix closed languages, trees and codes- unambiguous and deterministic automata, Kleene's theorem- growth function of regular languages- non-deterministic automata and determinization- radix order, first word of each length and decimation of a regular language- the theory of the minimal automata- an introduction to algebraic automata theory, the syntactic monoid and thesyntactic complexity- star-free languages and a theorem of Schu tzenberger- rational formal series and weighted automata- context-free languages, pushdown automata and grammars- growth function of context-free languages, Parikh's theorem- some decidable and undecidable problems in formal language theory- bibliographic notes- factor complexity, Morse-Hedlund theorem- arithmetic complexity, Van Der Waerden theorem, pattern complexity - recurrence, uniform recurrence, return words- Sturmian words, coding of rotations, Kronecker's theorem- frequencies of letters, factors and primitive morphism- critical exponent- factor complexity of automatic sequences- factor complexity of purely morphic sequences- primitive words, conjugacy, Lyndon word- abelianisation and abelian complexity- bibliographic notes- automatic sequences, equivalent definitions- a theorem of Cobham, equivalence of automatic sequences with constantlength morphic sequences- a few examples of well-known automatic sequences- about Derksen's theorem- some morphic sequences are not automatic- abstract numeration system and S-automatic sequences- k - -automatic sequences- bibliographic notes- numeration systems, greedy algorithm- positional numeration systems, recognizable sets of integers- divisi.
526 ## - STUDY PROGRAM INFORMATION NOTE
Department Electrical & Electronic Engineering
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Machine theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Formal languages.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer programming.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer programming
General subdivision Congresses.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Formal languages
General subdivision Congresses.
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Machine theory
General subdivision Congresses.
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element COMPUTERS
General subdivision Programming Languages
-- General.
Source of heading or term bisacsh
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer programming.
Source of heading or term fast
-- (OCoLC)fst00872390
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Formal languages.
Source of heading or term fast
-- (OCoLC)fst00932922
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Machine theory.
Source of heading or term fast
-- (OCoLC)fst01004846
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading Rigo, Michel.
Title Formal Languages, Automata and Numeration Systems.
Place, publisher, and date of publication Hoboken : Wiley, ©2014
International Standard Book Number 9781848216150
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Networks and telecommunications series.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1002/9781119042853">http://dx.doi.org/10.1002/9781119042853</a>
Public note Wiley Online Library
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