Filip Murlak - The Wadge Hierarchy of Deterministic Tree Languages

lmcs:994 - Logical Methods in Computer Science, December 23, 2008, Volume 4, Issue 4 - https://doi.org/10.2168/LMCS-4(4:15)2008
The Wadge Hierarchy of Deterministic Tree Languages

Authors: Filip Murlak

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.


Volume: Volume 4, Issue 4
Published on: December 23, 2008
Accepted on: June 25, 2015
Submitted on: November 2, 2006
Keywords: Computer Science - Logic in Computer Science,F.4.3,F.4.1,F.1.1,F.1.3


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