Static Dependency Pair Method based on Strong Computability for Higher-Order Rewrite Systems
Logic in Computer Science
2011-09-27 v1
Abstract
Higher-order rewrite systems (HRSs) and simply-typed term rewriting systems (STRSs) are computational models of functional programs. We recently proposed an extremely powerful method, the static dependency pair method, which is based on the notion of strong computability, in order to prove termination in STRSs. In this paper, we extend the method to HRSs. Since HRSs include \lambda-abstraction but STRSs do not, we restructure the static dependency pair method to allow \lambda-abstraction, and show that the static dependency pair method also works well on HRSs without new restrictions.
Keywords
Cite
@article{arxiv.1109.5468,
title = {Static Dependency Pair Method based on Strong Computability for Higher-Order Rewrite Systems},
author = {Keiichirou Kusakari and Yasuo Isogai and Masahiko Sakai and Frédéric Blanqui},
journal= {arXiv preprint arXiv:1109.5468},
year = {2011}
}
Comments
IEICE Transactions on Information and Systems (2009)