Abstract. It has been proved by Niwi´nski and Walukiewicz that a deterministic tree language is either Π1 1 -complete or it is on the level Π0 3 of the Borel hierarchy, and that...
In this paper we generalize the contraction method, originally proposed by Elgot and Rabin and later extended by Carton and Thomas, from labeled linear orderings to colored determ...
In this paper we provide an automaton-based solution to the decision problem for a large set of monadic second-order theories of deterministic tree structures. We achieve it in two...
Abstract. We provide a complete description of the Wadge hierarchy for deterministically recognizable sets of infinite trees. In particular we give an elementary procedure to decid...
Tiling systems that recognize two-dimensional languages are intrinsically non-deterministic models. We introduce the notion of deterministic tiling system that generalizes determin...