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» Operations Preserving Recognizable Languages
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FCT
2003
Springer
14 years 4 months ago
Operations Preserving Recognizable Languages
Abstract. Given a subset S of N, filtering a word a0a1 · · · an by S consists in deleting the letters ai such that i is not in S. By a natural generalization, denote by L[S], w...
Jean Berstel, Luc Boasson, Olivier Carton, Bruno P...
ICALP
2001
Springer
14 years 3 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
CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 11 months ago
On the logical definability of certain graph and poset languages
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...
Pascal Weil
LATA
2009
Springer
14 years 5 months ago
A Kleene Theorem for Forest Languages
This paper proposes an alternative approach to the standard notion of rational (or regular) expression for tree languages. The main difference is that in the new notion we have on...
Lutz Straßburger
FCT
2007
Springer
14 years 5 months ago
On the Topological Complexity of Weakly Recognizable Tree Languages
We show that the family of tree languages recognized by weak alternating automata is closed by three set theoretic operations that correspond to sum, multiplication by ordinals <...
Jacques Duparc, Filip Murlak