By Michel Rigo
Formal Languages, Automaton and Numeration Systems offers readers with a evaluation of analysis with regards to formal language idea, combinatorics on phrases or numeration structures, akin to phrases, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical starting place of machine Science), Mons Theoretical laptop technology Days, Numeration, CANT (Combinatorics, Automata and quantity Theory).
Combinatorics on phrases bargains with difficulties that may be acknowledged in a non-commutative monoid, equivalent to subword complexity of finite or countless phrases, building and homes of endless phrases, unavoidable regularities or patterns. whilst contemplating a few numeration structures, any integer should be represented as a finite notice over an alphabet of digits. this straightforward statement results in the learn of the connection among the arithmetical homes of the integers and the syntactical houses of the corresponding representations. probably the most profound leads to this course is given by way of the distinguished theorem by means of Cobham. strangely, a contemporary extension of this consequence to complicated numbers resulted in the recognized 4 Exponentials Conjecture. this is often only one instance of the fruitful dating among formal language concept (including the idea of automata) and quantity theory.
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Extra resources for Formal Languages, Automata and Numeration Systems, Volume 1 (Iste)
Formal Languages, Automata and Numeration Systems, Volume 1 (Iste) by Michel Rigo