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arXiv · 1203.5754

Polynomial Interpretations for Higher-Order Rewriting

Carsten Fuhs·Cynthia Kop
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Abstract

The termination method of weakly monotonic algebras, which has been defined for higher-order rewriting in the HRS formalism, offers a lot of power, but has seen little use in recent years. We adapt and extend this method to the alternative formalism of algebraic functional systems, where the simply-typed lambda-calculus is combined with algebraic reduction. Using this theory, we define higher-order polynomial interpretations, and show how the implementation challenges of this technique can be tackled. A full implementation is provided in the termination tool WANDA.

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Carsten Fuhs, Cynthia Kop. 2012-03-26. Polynomial Interpretations for Higher-Order Rewriting. https://arxiv.org/abs/1203.5754

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