The wadge hierarchy of deterministic tree languages

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Abstract

We provide a complete description of the Wadge hierarchy for deter-ministically recognizable sets of infinite trees. In particular we give an elementary procedure to decide if one deterministic tree language is continuously reducible to another. This extends Wagner's results on the hierarchy of w-regular languages to the case of trees. © Springer-Verlag Berlin Heidelberg 2006.

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Murlak, F. (2006). The wadge hierarchy of deterministic tree languages. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4052 LNCS, pp. 408–419). Springer Verlag. https://doi.org/10.1007/11787006_35

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