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Auteurs principaux: Hirokawa, Nao, Middeldorp, Aart
Format: Preprint
Publié: 2023
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Accès en ligne:https://arxiv.org/abs/2307.14036
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author Hirokawa, Nao
Middeldorp, Aart
author_facet Hirokawa, Nao
Middeldorp, Aart
contents We present a new encoding of the Battle of Hercules and Hydra as a rewrite system with AC symbols. Unlike earlier term rewriting encodings, it faithfully models any strategy of Hercules to beat Hydra. To prove the termination of our encoding, we employ type introduction in connection with many-sorted semantic labeling for AC rewriting and AC-MPO, a new AC compatible reduction order that can be seen as a much weakened version of AC-RPO.
format Preprint
id arxiv_https___arxiv_org_abs_2307_14036
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Hydra Battles and AC Termination
Hirokawa, Nao
Middeldorp, Aart
Logic in Computer Science
We present a new encoding of the Battle of Hercules and Hydra as a rewrite system with AC symbols. Unlike earlier term rewriting encodings, it faithfully models any strategy of Hercules to beat Hydra. To prove the termination of our encoding, we employ type introduction in connection with many-sorted semantic labeling for AC rewriting and AC-MPO, a new AC compatible reduction order that can be seen as a much weakened version of AC-RPO.
title Hydra Battles and AC Termination
topic Logic in Computer Science
url https://arxiv.org/abs/2307.14036