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    Chapter and Conference Paper

    Proving Confluence of Term Rewriting Systems Automatically

    We have developed an automated confluence prover for term rewriting systems (TRSs). This paper presents theoretical and technical ingredients that have been used in our prover. A distinctive feature of our pro...

    Takahito Aoto, Junichi Yoshida, Yoshihito Toyama in Rewriting Techniques and Applications (2009)

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    Chapter and Conference Paper

    RAPT: A Program Transformation System Based on Term Rewriting

    Chiba et al. (2005) proposed a framework of program transformation by template based on term rewriting in which correctness of the transformation is verified automatically. This paper describes RAPT (Rewriting-ba...

    Yuki Chiba, Takahito Aoto in Term Rewriting and Applications (2006)

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    Chapter and Conference Paper

    Dealing with Non-orientable Equations in Rewriting Induction

    Rewriting induction (Reddy, 1990) is an automated proof method for inductive theorems of term rewriting systems. Reasoning by the rewriting induction is based on the noetherian induction on some reduction orde...

    Takahito Aoto in Term Rewriting and Applications (2006)

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    Chapter and Conference Paper

    Dependency Pairs for Simply Typed Term Rewriting

    Simply typed term rewriting proposed by Yamada (RTA, 2001) is a framework of higher-order term rewriting without bound variables. In this paper, the dependency pair method of first-order term rewriting introdu...

    Takahito Aoto, Toshiyuki Yamada in Term Rewriting and Applications (2005)

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    Chapter and Conference Paper

    Inductive Theorems for Higher-Order Rewriting

    Based on the simply typed term rewriting framework, inductive reasoning in higher-order rewriting is studied. The notion of higher-order inductive theorems is introduced to reflect higher-order feature of simp...

    Takahito Aoto, Toshiyuki Yamada, Yoshihito Toyama in Rewriting Techniques and Applications (2004)