By Michel Rigo
The interaction among phrases, computability, algebra and mathematics has now proved its relevance and fruitfulness. certainly, the cross-fertilization among formal common sense and finite automata (such as that initiated by way of J.R. Büchi) or among combinatorics on phrases and quantity conception has lead the way to contemporary dramatic advancements, for instance, the transcendence effects for the true numbers having a “simple” binary enlargement, through B. Adamczewski and Y. Bugeaud.
This booklet 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 machine technology bargains the following themes resembling selection difficulties and recognizability concerns, while arithmetic deals options similar to discrete dynamical systems.
The major objective is to provide a brief entry, for college kids and researchers in arithmetic or desktop technology, to real learn subject matters on the intersection among automata and formal language concept, quantity concept and combinatorics on words.
The moment of 2 volumes in this topic, this e-book covers commonplace languages, numeration platforms, formal equipment utilized to decidability concerns approximately limitless phrases and units of numbers.
Read Online or Download Formal Languages, Automata and Numeration Systems, Volume 2 (Iste) PDF
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