A static higher-order dependency pair framework
Abstract
We revisit the static dependency pair method for proving termination of higher-order term rewriting and extend it in a number of ways: (1) We introduce a new rewrite formalism designed for general applicability in termination proving of higher-order rewriting, Algebraic Functional Systems with Meta-variables. (2) We provide a syntactically checkable soundness criterion to make the method applicable to a large class of rewrite systems. (3) We propose a modular dependency pair framework for this higher-order setting. (4) We introduce a fine-grained notion of formative and computable chains to render the framework more powerful. (5) We formulate several existing and new termination proving techniques in the form of processors within our framework. The framework has been implemented in the (fully automatic) higher-order termination tool WANDA.
Keywords
Cite
@article{arxiv.1902.06733,
title = {A static higher-order dependency pair framework},
author = {Carsten Fuhs and Cynthia Kop},
journal= {arXiv preprint arXiv:1902.06733},
year = {2019}
}
Comments
Extended version of a paper which is to appear in the proceedings of ESOP 2019 (28th European Symposium on Programming). arXiv admin note: text overlap with arXiv:1805.09390