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Verlag: ISTE Ltd and John Wiley & Sons Inc, 2014
ISBN 10: 1848217889 ISBN 13: 9781848217881
Sprache: Englisch
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Verlag: ISTE Ltd and John Wiley & Sons Inc, 2014
ISBN 10: 1848216157 ISBN 13: 9781848216150
Sprache: Englisch
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In den WarenkorbBuch. Zustand: Neu. Neuware - 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 a.
Verlag: ISTE Ltd and John Wiley & Sons Inc, 2014
ISBN 10: 1848217889 ISBN 13: 9781848217881
Sprache: Englisch
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In den WarenkorbZustand: New. Num Pages: 246 pages, black & white illustrations. BIC Classification: UM; UYF. Category: (P) Professional & Vocational. Dimension: 240 x 158 x 20. Weight in Grams: 572. . 2014. 1st Edition. Hardcover. . . . .
Verlag: ISTE Ltd and John Wiley & Sons Inc, 2014
ISBN 10: 1848216157 ISBN 13: 9781848216150
Sprache: Englisch
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In den WarenkorbZustand: New. Series: ISTE. Num Pages: 338 pages, black & white illustrations. BIC Classification: UMX; UYA. Category: (P) Professional & Vocational. Dimension: 241 x 158 x 24. Weight in Grams: 644. . 2014. 1st Edition. Hardcover. . . . .
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In den WarenkorbBuch. Zustand: Neu. Neuware - The interplay between words, computability, algebra and arithmetic has now proved its relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite automata (such as that initiated by J.R. Büchi) or between combinatorics on words and number theory has paved the way to recent dramatic developments, for example, the transcendence results for the real numbers having a 'simple' binary expansion, by B. Adamczewski and Y. Bugeaud.
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In den WarenkorbHardcover. Zustand: Brand New. 1st edition. 338 pages. 9.00x6.00x1.00 inches. In Stock.
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Verlag: ISTE Ltd and John Wiley & Sons Inc, London, 2014
ISBN 10: 1848217889 ISBN 13: 9781848217881
Sprache: Englisch
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In den WarenkorbHardcover. Zustand: new. Hardcover. The interplay between words, computability, algebra and arithmetic has now proved its relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite automata (such as that initiated by J.R. Buechi) or between combinatorics on words and number theory has paved the way to recent dramatic developments, for example, the transcendence results for the real numbers having a "simple" binary expansion, by B. Adamczewski and Y. Bugeaud. This book is at the heart of this interplay through a unified exposition. Objects are considered with a perspective that comes both from theoretical computer science and mathematics. Theoretical computer science offers here topics such as decision problems and recognizability issues, whereas mathematics offers concepts such as discrete dynamical systems. The main goal is to give a quick access, for students and researchers in mathematics or computer science, to actual research topics at the intersection between automata and formal language theory, number theory and combinatorics on words. The second of two volumes on this subject, this book covers regular languages, numeration systems, formal methods applied to decidability issues about infinite words and sets of numbers. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Verlag: ISTE Ltd and John Wiley & Sons Inc, London, 2014
ISBN 10: 1848216157 ISBN 13: 9781848216150
Sprache: Englisch
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In den WarenkorbHardcover. Zustand: new. Hardcover. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Verlag: ISTE Ltd and John Wiley & Sons Inc, 2014
ISBN 10: 1848216157 ISBN 13: 9781848216150
Sprache: Englisch
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In den WarenkorbZustand: New. Series: ISTE. Num Pages: 338 pages, black & white illustrations. BIC Classification: UMX; UYA. Category: (P) Professional & Vocational. Dimension: 241 x 158 x 24. Weight in Grams: 644. . 2014. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.