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math.LO2024
Reductions of well-ordering principles to combinatorial theorems
Lorenzo Carlucci, Leonardo Mainardi, Konrad Zdanowski
A well-ordering principle is a principle of the form: If is well-ordered then is well-ordered, where is some natural operator transforming linear orders into linear…
math.LO2022★ 1 cited
Regressive versions of Hindman's Theorem
Lorenzo Carlucci, Leonardo Mainardi
When the Canonical Ramsey's Theorem by Erdős and Rado is applied to regressive functions one obtains the Regressive Ramsey's Theorem by Kanamori and McAloon. Taylor proved a "canon…