Disconnection Rules are Complete for Chemical Reactions

Fuente: arXiv
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Autori principali: Gale, Ella, Lobski, Leo, Zanasi, Fabio
Natura: Preprint
Pubblicazione: 2024
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author Gale, Ella
Lobski, Leo
Zanasi, Fabio
author_facet Gale, Ella
Lobski, Leo
Zanasi, Fabio
contents We provide a category theoretical framework capturing two approaches to graph-based models of chemistry: formal reactions and disconnection rules. We model a translation from the latter to the former as a functor, which is faithful, and full up to isomorphism. This allows us to state, as our main result, that the disconnection rules are sound, complete and universal with respect to the reactions. Concretely, this means that every reaction can be decomposed into a sequence of disconnection rules in an essentially unique way. This provides a uniform way to store reaction data, and gives an algorithmic interface between (forward) reaction prediction and (backward) reaction search or retrosynthesis.
format Preprint
id arxiv_https___arxiv_org_abs_2410_01421
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Disconnection Rules are Complete for Chemical Reactions
Gale, Ella
Lobski, Leo
Zanasi, Fabio
Logic in Computer Science
Category Theory
05C92
F.4.1; J.2
We provide a category theoretical framework capturing two approaches to graph-based models of chemistry: formal reactions and disconnection rules. We model a translation from the latter to the former as a functor, which is faithful, and full up to isomorphism. This allows us to state, as our main result, that the disconnection rules are sound, complete and universal with respect to the reactions. Concretely, this means that every reaction can be decomposed into a sequence of disconnection rules in an essentially unique way. This provides a uniform way to store reaction data, and gives an algorithmic interface between (forward) reaction prediction and (backward) reaction search or retrosynthesis.
title Disconnection Rules are Complete for Chemical Reactions
topic Logic in Computer Science
Category Theory
05C92
F.4.1; J.2
url https://arxiv.org/abs/2410.01421