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arXiv · 0812.1729

The Wadge Hierarchy of Deterministic Tree Languages

Filip Murlak
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Abstract

We provide a complete description of the Wadge hierarchy for deterministically recognisable 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 omega-regular languages of words to the case of trees.

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Filip Murlak. 2008-12-23. The Wadge Hierarchy of Deterministic Tree Languages. https://doi.org/10.2168/lmcs-4(4%3A15)2008

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