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math.LO2016
The uniform content of partial and linear orders
Eric P. Astor, Damir D. Dzhafarov, Reed Solomon +1
The principle asserts that every linear order on has an infinite ascending or descending sequence. This has been studied extensively in the reverse mathematics literature…
math.LO2016
Effectiveness of Hindman's theorem for bounded sums
Damir D. Dzhafarov, Carl G. Jockusch, Reed Solomon +1
We consider the strength and effective content of restricted versions of Hindman's Theorem in which the number of colors is specified and the length of the sums has a specified fin…