2 problems

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Choffrut's conjecture on the rank-four grammic congruence
Choffrut's conjecture. For $n=4$ , the grammic congruence is generated by the Knuth relations together with the pairs
Conjectureopencombinatorial-algebra grammic-monoids monoid-presentationsarXiv posted 2 days ago
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The four-letter grammic congruence conjecture
Four-letter grammic congruence conjecture. The grammic congruence is generated by the Knuth rules together with the single new rule
Conjectureopengrammic-monoids monoid-congruences young-tableauxarXiv posted 2 days ago

Choffrut's conjecture on the rank-four grammic congruence