Tuple Interpretations and Applications to Higher-Order Runtime Complexity

Cynthia Kop; Deivid Vale

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arXiv · 2206.15202

Tuple Interpretations and Applications to Higher-Order Runtime Complexity

Cynthia Kop·Deivid Vale

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Abstract

Tuple interpretations are a class of algebraic interpretation that subsumes both polynomial and matrix interpretations as it does not impose simple termination and allows non-linear interpretations. It was developed in the context of higher-order rewriting to study derivational complexity of algebraic functional systems. In this short paper, we continue our journey to study the complexity of higher-order TRSs by tailoring tuple interpretations to deal with innermost runtime complexity.

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Cynthia Kop, Deivid Vale. 2022-06-30. Tuple Interpretations and Applications to Higher-Order Runtime Complexity. https://arxiv.org/abs/2206.15202

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