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The Wadge Hierarchy of Deterministic Tree Languages (0812.1729v2)
Published 9 Dec 2008 in cs.LO
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.