Tableaux problem 50
Tableaux problem 50
Inferred from the community field; finer classification has not been reviewed.
Problem statement
50.[Stan2012a]*Exer. 3.51(a) soln.[Wor2026e] [Stan2012a] shows that there exists exactly one distributive, -differential lattice for any positive integer . That analysis easily generalizes to an analysis of weighted differential distributive lattices, and when we constrain the differential degree and the weights to be positive integers, it can be used to demonstrate non-trivial constraints on possible lattices. Can this technique be extended to prove all of the “strong” hypotheses of the classification in [Wor2026b] to create a classification of all positive-weight differential distributive lattices with ?
Lean 4
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Background
Source snapshot inspected on 10 September 2026. Subsequent research status and the accuracy of source formalizations have not been independently certified.
Dale R. Worley, version 3 (5 April 2026). Source citation keys are retained even where the arXiv HTML does not resolve its bibliography.
CC BY 4.0; Dale R. Worley. HTML converted to Markdown with attribution and source links.
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Discussion
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