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arXiv · 1205.2519

Dynamic Dependency Pairs for Algebraic Functional Systems

Cynthia Kop·Femke van Raamsdonk
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Abstract

We extend the higher-order termination method of dynamic dependency pairs to Algebraic Functional Systems (AFSs). In this setting, simply typed lambda-terms with algebraic reduction and separate {\beta}-steps are considered. For left-linear AFSs, the method is shown to be complete. For so-called local AFSs we define a variation of usable rules and an extension of argument filterings. All these techniques have been implemented in the higher-order termination tool WANDA.

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Cynthia Kop, Femke van Raamsdonk. 2012-05-11. Dynamic Dependency Pairs for Algebraic Functional Systems. https://doi.org/10.2168/lmcs-8(2%3A10)2012

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