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» The Power of Commuting with Finite Sets of Words
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MST
2007
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13 years 4 months ago
The Power of Commuting with Finite Sets of Words
We construct a finite language L such that the largest language commuting with L is not recursively enumerable. This gives a negative answer to the question raised by Conway in 1...
Michal Kunc
TCS
2008
13 years 3 months ago
Extension of Brzozowski's derivation calculus of rational expressions to series over the free partially commutative monoids
We introduce an extension of the derivatives of rational expressions to expressions denoting formal power series over partially commuting variables. The expressions are purely non...
Jean Berstel, Christophe Reutenauer
LATIN
2004
Springer
13 years 10 months ago
Complementation of Rational Sets on Scattered Linear Orderings of Finite Rank
In a preceding paper [6], automata have been introduced for words indexed by linear orderings. These automata are a generalization of automata for finite, infinite, bi-infinite...
Olivier Carton, Chloe Rispal
ICALP
2005
Springer
13 years 10 months ago
Weighted Automata and Weighted Logics
Abstract. Weighted automata are used to describe quantitative properties in various areas such as probabilistic systems, image compression, speech-to-text processing. The behaviour...
Manfred Droste, Paul Gastin
ICALP
2001
Springer
13 years 9 months ago
Rational Transformations of Formal Power Series
Formal power series are an extension of formal languages. Recognizable formal power series can be captured by the so-called weighted finite automata, generalizing finite state ma...
Manfred Droste, Guo-Qiang Zhang