Add to ORKGAbstract. We show that the principle PART from Hirschfeldt and Shore [7] is equivalent to the Σ02-Bounding principle BΣ 0 2 over RCA0, answering one of their open questions. Furthermore, we also fill a gap in a proof in Cholak, Jockusch and Slaman [1] by showing that D22 implies BΣ 0 2 and is thus indee
Abstract. The Rainbow Ramsey Theorem is essentially an “anti-Ramsey ” theorem which states that cert...
this paper we study the logical strength of Ramsey's Theorem (1930), especially of Ramsey'...
We give the Π^0_2-part, the Π^0_3-part and the Π^0_4-part of RT^2_2 and related combinatorialprincip...
Abstract. We study the reverse mathematics and computability-the-oretic strength of (stable) Ramsey’...
Abstract. We show that the principle PART from Hirschfeldt and Shore [5] is equivalent to the Σ02-Bo...
We study the reverse mathematics and computability-theoretic strength of (stable) Ramsey’s Theorem f...
AbstractWe study combinatorial principles weaker than Ramsey’s theorem for pairs over the RCA0 (recu...
Abstract. In this paper we study with proof-theoretic methods the func-tion(al)s provably recursive ...
he main objective of this research is to study the relative strength of combinatorial principles, in...
21 pagesInternational audienceWe complete a 40-year old program on the computability-theoretic analy...
International audienceRamsey's theorem for n-tuples and k-colors (RT n k) asserts that every k-color...
International audienceA Turing degree d bounds a principle P of reverse mathematics if every computa...
Abstract. We discuss the use of nonstandard methods in the study of Ramsey type problems, and illust...
Abstract. We address the question, \Which number theoretic statements can be proven by computational...
International audienceWe answer a question posed by Hirschfeldt and Jockusch by showing that wheneve...
Abstract. The Rainbow Ramsey Theorem is essentially an “anti-Ramsey ” theorem which states that cert...
this paper we study the logical strength of Ramsey's Theorem (1930), especially of Ramsey'...
We give the Π^0_2-part, the Π^0_3-part and the Π^0_4-part of RT^2_2 and related combinatorialprincip...
Abstract. We study the reverse mathematics and computability-the-oretic strength of (stable) Ramsey’...
Abstract. We show that the principle PART from Hirschfeldt and Shore [5] is equivalent to the Σ02-Bo...
We study the reverse mathematics and computability-theoretic strength of (stable) Ramsey’s Theorem f...
AbstractWe study combinatorial principles weaker than Ramsey’s theorem for pairs over the RCA0 (recu...
Abstract. In this paper we study with proof-theoretic methods the func-tion(al)s provably recursive ...
he main objective of this research is to study the relative strength of combinatorial principles, in...
21 pagesInternational audienceWe complete a 40-year old program on the computability-theoretic analy...
International audienceRamsey's theorem for n-tuples and k-colors (RT n k) asserts that every k-color...
International audienceA Turing degree d bounds a principle P of reverse mathematics if every computa...
Abstract. We discuss the use of nonstandard methods in the study of Ramsey type problems, and illust...
Abstract. We address the question, \Which number theoretic statements can be proven by computational...
International audienceWe answer a question posed by Hirschfeldt and Jockusch by showing that wheneve...
Abstract. The Rainbow Ramsey Theorem is essentially an “anti-Ramsey ” theorem which states that cert...
this paper we study the logical strength of Ramsey's Theorem (1930), especially of Ramsey'...
We give the Π^0_2-part, the Π^0_3-part and the Π^0_4-part of RT^2_2 and related combinatorialprincip...