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40

FCT
2007
Springer

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113views Applied Computing» more FCT 2007»

On the Topological Complexity of Weakly Recognizable Tree Languages

14 years 5 months ago

On the Topological Complexity of Weakly Recognizable Tree Languages

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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 < ωω , and pseudoexponentiation with the base ω1 of the Wadge degrees. In consequence, the Wadge hierarchy of weakly recognizable tree languages has the height of at least ε0, that is the least ﬁxed point of the exponentiation with the base ω.

Jacques Duparc, Filip Murlak

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FCT 2007 | Set Theoretic Operations | Tree Languages | Weak Alternating Automata |

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Added	07 Jun 2010
Updated	07 Jun 2010
Type	Conference
Year	2007
Where	FCT
Authors	Jacques Duparc, Filip Murlak

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