Computational support for case-heavy proofs in mathematical phylogenetics

Fuente: arXiv
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Main Authors: Forte, Luca, van Iersel, Leo, Kelk, Steven, Meuwese, Ruben
Format: Preprint
Published: 2025
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author Forte, Luca
van Iersel, Leo
Kelk, Steven
Meuwese, Ruben
author_facet Forte, Luca
van Iersel, Leo
Kelk, Steven
Meuwese, Ruben
contents In this note we demonstrate that a number of case-heavy combinatorial proofs in the mathematical phylogenetics literature can be proven more compactly using computational support. We use these techniques to also prove several new combinatorial lemmas that would have taken considerable effort to prove by hand. We are optimistic that similar approaches can be deployed more widely in phylogenetics.
format Preprint
id arxiv_https___arxiv_org_abs_2512_16691
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Computational support for case-heavy proofs in mathematical phylogenetics
Forte, Luca
van Iersel, Leo
Kelk, Steven
Meuwese, Ruben
Populations and Evolution
In this note we demonstrate that a number of case-heavy combinatorial proofs in the mathematical phylogenetics literature can be proven more compactly using computational support. We use these techniques to also prove several new combinatorial lemmas that would have taken considerable effort to prove by hand. We are optimistic that similar approaches can be deployed more widely in phylogenetics.
title Computational support for case-heavy proofs in mathematical phylogenetics
topic Populations and Evolution
url https://arxiv.org/abs/2512.16691