English

On Constructing Constrained Tree Automata Recognizing Ground Instances of Constrained Terms

Formal Languages and Automata Theory 2013-11-25 v1 Logic in Computer Science

Abstract

An inductive theorem proving method for constrained term rewriting systems, which is based on rewriting induction, needs a decision procedure for reduction-completeness of constrained terms. In addition, the sufficient complete property of constrained term rewriting systems enables us to relax the side conditions of some inference rules in the proving method. These two properties can be reduced to intersection emptiness problems related to sets of ground instances for constrained terms. This paper proposes a method to construct deterministic, complete, and constraint-complete constrained tree automata recognizing ground instances of constrained terms.

Keywords

Cite

@article{arxiv.1311.5567,
  title  = {On Constructing Constrained Tree Automata Recognizing Ground Instances of Constrained Terms},
  author = {Naoki Nishida and Masahiko Sakai and Yasuhiro Nakano},
  journal= {arXiv preprint arXiv:1311.5567},
  year   = {2013}
}

Comments

In Proceedings TTATT 2013, arXiv:1311.5058

R2 v1 2026-06-22T02:12:29.077Z