By Michel Rigo

The interaction among phrases, computability, algebra and mathematics has now proved its relevance and fruitfulness. certainly, the cross-fertilization among formal good judgment and finite automata (such as that initiated via J.R. Büchi) or among combinatorics on phrases and quantity conception has prepared the ground to contemporary dramatic advancements, for instance, the transcendence effects for the true numbers having a “simple” binary growth, via B. Adamczewski and Y. Bugeaud.

This ebook is on the middle of this interaction via a unified exposition. gadgets are thought of with a standpoint that comes either from theoretical computing device technology and arithmetic. Theoretical desktop technological know-how bargains the following themes resembling determination difficulties and recognizability concerns, while arithmetic deals suggestions resembling discrete dynamical systems.

The major objective is to provide a brief entry, for college students and researchers in arithmetic or laptop technology, to real study subject matters on the intersection among automata and formal language conception, quantity thought and combinatorics on words.

The moment of 2 volumes in this topic, this ebook covers common languages, numeration platforms, formal equipment utilized to decidability matters approximately limitless phrases and units of numbers.

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