Conservation of Ramsey’s theorem for pairs and well-foundedness
Q. Le Houérou, L. Levy Patey and K. Yokoyama (2024). "Conservation of Ramsey's theorem for pairs and well-foundedness." Trans. Amer. Math. Soc., 378(3):2157–2186, 2025.
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Pi04 conservation of the Ordered Variable Word theorem
Q. Le Houérou and L. Levy Patey. "Pi04 conservation of the Ordered Variable Word theorem." The Journal of Symbolic Logic. Published online 2025:1-16. doi:10.1017/jsl.2024.64.
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Pi04 conservation of Ramsey’s theorem for pairs
Le Houérou, Q., Levy Patey, L. and Yokoyama, K. (2026). "Pi04 conservation of Ramsey's theorem for pairs." J. London Math. Soc., 113: e70419. https://doi.org/10.1112/jlms.70419
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The reverse mathematics of the pigeonhole hierarchy
Q. Le Houérou, A. Mimouni and L. Levy Patey (2024). "The reverse mathematics of the pigeonhole hierarchy."
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Ramsey-like theorems for the Schreier barrier
Carlucci L, Gjetaj O, Le houérou Q, Levy Patey L. "Ramsey-like theorems for the Schreier Barrier." The Journal of Symbolic Logic. Published online 2025:1-30. doi:10.1017/jsl.2025.10104
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Partition theorems for Ketonen-Solovay largeness
Q. Le Houérou and L. Patey (2026). "Partition theorems for Ketonen-Solovay largeness."
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Largeness notions and polytime translation for ∀Σ03-consequences of RT22
Q. Le Houérou and L. Patey (2026). "Largeness notions and polytime translation for ∀Σ03-consequences of RT22."
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Ramsey-like theorems for separable permutations
Q. Le Houérou and L. Patey (2026). "Ramsey-like theorems for separable permutations." Transactions of the AMS, to appear.
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The reverse mathematics of bounded Ramsey’s theorem for pairs
Q. Le Houérou and L. Patey. "The reverse mathematics of bounded Ramsey's theorem for pairs." The Journal of Symbolic Logic. Published online 2026:1-26. doi:10.1017/jsl.2026.10226.
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Pi04 conservation of a Carlson-Simpson lemma for 1-variable words
Q. Le Houérou and L. Patey (2026). "Pi04 conservation of a Carlson-Simpson lemma for 1-variable words."
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