2 research outputs found
Deciding the Borel complexity of regular tree languages
We show that it is decidable whether a given a regular tree language belongs
to the class of the Borel hierarchy, or equivalently whether
the Wadge degree of a regular tree language is countable.Comment: 15 pages, 2 figure
Regular tree languages in low levels of the Wadge Hierarchy
In this article we provide effective characterisations of regular languages
of infinite trees that belong to the low levels of the Wadge hierarchy. More
precisely we prove decidability for each of the finite levels of the hierarchy;
for the class of the Boolean combinations of open sets (i.e.
the union of the first levels); and for the Borel class
(i.e. for the union of the first levels)