%0 Journal Article %T Model Checking Constraint LTL over Trees %A Alexander Kartzow %A Thomas Weidner %J Computer Science %D 2015 %I arXiv %X Constraint automata are an adaptation of B\"uchi-automata that process data words where the data comes from some relational structure S. Every transition of such an automaton comes with constraints in terms of the relations of S. A transition can only be fired if the current and the next data values satisfy all constraints of this transition. These automata have been used in the setting where S is a linear order for deciding constraint LTL with constraints over S. In this paper, S is the infinitely branching infinite order tree T. We provide a PSPACE algorithm for emptiness of T-constraint automata. This result implies PSPACE-completeness of the satisfiability and the model checking problem for constraint LTL with constraints over T. %U http://arxiv.org/abs/1504.06105v1