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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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Papers overview

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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
Highly Cited
2009
Highly Cited
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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2008
2008
For a given (terminating) term rewriting system one can often estimate its derivational complexity indirectly by looking at 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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2002
2002
Traces are used to model the occurrence of events in concurrent systems [9]. Roughly speaking, a letter corresponds to an event… Expand
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
Highly Cited
1997
Highly Cited
1997
Eleven bright gamma-ray bursts (GRBs) detected by BATSE have also been seen at much higher ener- gies by EGRET, six at energies… Expand
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1996
1996
We prove a new result on N-rational series in one variable. This result gives, under an appropriate hypothesis, a necessary and… Expand
Highly Cited
1994
Highly Cited
1994
  • D. Krob
  • Int. J. Algebra Comput.
  • 1994
  • Corpus ID: 16304008
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… Expand
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