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The weakness of the pigeonhole principle under hyperarithmetical reductions
Journal of Mathematical Logic 21 (3):2150013 (2020)
Abstract
The infinite pigeonhole principle for 2-partitions asserts the existence, for every set A, of an infinite subset of A or of its complement. In this paper, we study the infinite pigeonhole pr...Other Versions
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Citations of this work
Partition Genericity and Pigeonhole Basis Theorems.Benoit Monin & Ludovic Patey - 2024 - Journal of Symbolic Logic 89 (2):829-857.
References found in this work
On the strength of Ramsey's theorem for pairs.Peter A. Cholak, Carl G. Jockusch & Theodore A. Slaman - 2001 - Journal of Symbolic Logic 66 (1):1-55.
On the Strength of Ramsey's Theorem.David Seetapun & Theodore A. Slaman - 1995 - Notre Dame Journal of Formal Logic 36 (4):570-582.
Ramsey's theorem and recursion theory.Carl G. Jockusch - 1972 - Journal of Symbolic Logic 37 (2):268-280.
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