English

Tuple Interpretations and Applications to Higher-Order Runtime Complexity

Logic in Computer Science 2022-07-01 v1 Symbolic Computation

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.

Keywords

Cite

@article{arxiv.2206.15202,
  title  = {Tuple Interpretations and Applications to Higher-Order Runtime Complexity},
  author = {Cynthia Kop and Deivid Vale},
  journal= {arXiv preprint arXiv:2206.15202},
  year   = {2022}
}
R2 v1 2026-06-24T12:09:32.366Z