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Rational series

In mathematics and computer science, a rational series is a generalisation of the concept of formal power series over a ring to the case when the… Expand
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Highly Cited
2010
Highly Cited
2010
Preface Part I. Rational Series: 1. Rational series 2. Minimization 3. Series and languages 4. Rational expressions Part II… Expand
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2009
2009
This chapter presents the theory of weighted automata over graded monoids and with weights taken in arbitrary semirings. The… Expand
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2007
2007
We analyse the asymptotic behaviour in the mean of a non-commutative rational series, which originates from differential… Expand
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2006
2006
Given a finite set of words w 1 ,..., w n independently drawn according to a fixed unknown distribution law P called a stochastic… Expand
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2004
2004
Our aim is to study the set of K-rational expressions describing rational series. More precisely we are concerned with the… Expand
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2003
2003
Direct arguments are presented showing that for rational series in several commuting variables, the rational series problem is… Expand
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2002
2002
Traces are used to model the occurrence of events in concurrent systems [9]. Roughly speaking, a letter corresponds to an event… Expand
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1997
1997
The main result of the present paper is the sharpening of rationality w x w x w x theorems of Manning 23 , Fried 18 , and Gromov… Expand
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Highly Cited
1994
Highly Cited
1994
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… Expand
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Highly Cited
1988
Highly Cited
1988
I. Rational Series.- 1 Semirings.- 2 Formal Series.- 3 The Topology of K"X".- 4 Rational Series.- 5 Recognizable Series.- 6 The… Expand
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