2 problems

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Weak versus induced poset Ramsey numbers conjecture
Weak-versus-induced conjecture. For every $n\in\mathbb{N}$ ,
Conjectureopenboolean-lattices poset-ramsey-theory weak-ramsey-theoryarXiv posted 2 days ago
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The RCA*₀ conservation conjecture for the comparison results
The systems under consideration are the weak Ramsey and Ramsey principles over $\mathsf{RCA^*_0}$ , and the preceding comparison results are not currently known to be provable there…
Conjectureopenreverse-mathematics termination-theorems weak-ramsey-theoryarXiv posted 2 days ago

Weak versus induced poset Ramsey numbers conjecture