English

Model Checking Constraint LTL over Trees

Logic in Computer Science 2015-04-24 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1504.06105,
  title  = {Model Checking Constraint LTL over Trees},
  author = {Alexander Kartzow and Thomas Weidner},
  journal= {arXiv preprint arXiv:1504.06105},
  year   = {2015}
}
R2 v1 2026-06-22T09:21:08.889Z