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20112025
most citedStatic Dependency Pair Method based on Strong Computability for Higher-Order Rewrite Systems

1 citations · 1 across the 4 of their papers we have counts for

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5 papers

math.CO2025

Various Diamond Properties in Combinatorial Game Theory

Keiichirou Kusakari, Tomoaki Abuku

We investigate conditions under which positions in combinatorial games admit simple values. We introduce a unified diamond framework, the -property ($A\in\{\mathbb{Z},\…

cs.LO2014

Nagoya Termination Tool

Akihisa Yamada, Keiichirou Kusakari, Toshiki Sakabe

This paper describes the implementation and techniques of the Nagoya Termination Tool, a termination prover for term rewrite systems. The main features of the tool are: the first i…

cs.LO2014

A Unified Ordering for Termination Proving

Akihisa Yamada, Keiichirou Kusakari, Toshiki Sakabe

We introduce a reduction order called the weighted path order (WPO) that subsumes many existing reduction orders. WPO compares weights of terms as in the Knuth-Bendix order (KBO),…

cs.LO2011★ 1 cited

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

Keiichirou Kusakari, Yasuo Isogai, Masahiko Sakai +1

Higher-order rewrite systems (HRSs) and simply-typed term rewriting systems (STRSs) are computational models of functional programs. We recently proposed an extremely powerful meth…

cs.LO2011

Argument filterings and usable rules in higher-order rewrite systems

Sho Suzuki, Keiichirou Kusakari, Frédéric Blanqui

The static dependency pair method is a method for proving the termination of higher-order rewrite systems a la Nipkow. It combines the dependency pair method introduced for first-o…