Trees in Trees: Is the Incomplete Information about a Tree Consistent?

Eryk Kopczynski
We are interested in the following problem: given a tree automaton Aut and an incomplete tree description P, does a tree T exist such that T is accepted by Aut and consistent with P? A tree description is a tree-like structure which provides incomplete information about the shape of T. We show that this problem can be solved in polynomial time as long as Aut and the set of possible arrangements that can be forced...