Noncommutative Rational Series with Applications by Jean Berstel,Christophe Reutenauer PDF

By Jean Berstel,Christophe Reutenauer

ISBN-10: 0521190223

ISBN-13: 9780521190220

The algebraic idea of automata was once created by means of Schützenberger and Chomsky over 50 years in the past and there has due to the fact been loads of improvement. Classical paintings at the conception to noncommutative energy sequence has been augmented extra lately to parts akin to illustration concept, combinatorial arithmetic and theoretical machine technological know-how. This booklet offers to an viewers of graduate scholars and researchers a latest account of the topic and its functions. The algebraic procedure permits the idea to be built in a basic type of huge applicability. for instance, number-theoretic effects can now be extra totally explored, as well as purposes in automata concept, codes and non-commutative algebra. a lot fabric, for instance, Schützenberger's theorem on polynomially bounded rational sequence, appears to be like the following for the 1st time in booklet shape. this is often an outstanding source and reference for all these operating in algebra, theoretical desktop technology and their components of overlap.

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Noncommutative Rational Series with Applications (Encyclopedia of Mathematics and its Applications) by Jean Berstel,Christophe Reutenauer

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