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arXiv · 1109.5468

Static Dependency Pair Method based on Strong Computability for Higher-Order Rewrite Systems

Keiichirou Kusakari·Yasuo Isogai·Masahiko Sakai·Frédéric Blanqui
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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 λ-abstraction but STRSs do not, we restructure the static dependency pair method to allow λ-abstraction, and show that the static dependency pair method also works well on HRSs without new restrictions.

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Keiichirou Kusakari, Yasuo Isogai, Masahiko Sakai, Frédéric Blanqui. 2011-09-26. Static Dependency Pair Method based on Strong Computability for Higher-Order Rewrite Systems. https://arxiv.org/abs/1109.5468

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