Abstract. We address the question, \Which number theoretic statements can be proven by computational means and applications of Ramsey's Theorem for Pairs? " We show that, over the base theory RCA0, Ramsey's Theorem for Pairs does not imply 02-induction
International audienceRamsey's theorem for n-tuples and k-colors (RT n k) asserts that every k-color...
We use the Boyer-Moore Prover, Nqthm, to verify the Paris-Harrington version of Ramsey's Theore...
International audienceRamsey's theorem for pairs asserts that every 2-coloring of the pairs of integ...
this paper we study the logical strength of Ramsey's Theorem (1930), especially of Ramsey'...
In this thesis we give a proof-theoretic account of the strength of Ramsey's theorem for pairs and r...
Abstract. We study the reverse mathematics and computability-the-oretic strength of (stable) Ramsey’...
he main objective of this research is to study the relative strength of combinatorial principles, in...
We produce a first order proof of a famous combinatorial result, Ramsey Theorem for pairs and in two...
We study the reverse mathematics and computability-theoretic strength of (stable) Ramsey’s Theorem f...
The purpose is to study the strength of Ramsey's Theorem for pairs restricted to recursive assignmen...
Abstract. The Rainbow Ramsey Theorem is essentially an “anti-Ramsey ” theorem which states that cert...
In this thesis we give a proof-theoretic account of the strength of Ramsey's theorem for pairs and r...
AbstractWe study combinatorial principles weaker than Ramsey’s theorem for pairs over the RCA0 (recu...
Abstract. We show that the principle PART from Hirschfeldt and Shore [7] is equivalent to the Σ02-Bo...
Abstract. We discuss the use of nonstandard methods in the study of Ramsey type problems, and illust...
International audienceRamsey's theorem for n-tuples and k-colors (RT n k) asserts that every k-color...
We use the Boyer-Moore Prover, Nqthm, to verify the Paris-Harrington version of Ramsey's Theore...
International audienceRamsey's theorem for pairs asserts that every 2-coloring of the pairs of integ...
this paper we study the logical strength of Ramsey's Theorem (1930), especially of Ramsey'...
In this thesis we give a proof-theoretic account of the strength of Ramsey's theorem for pairs and r...
Abstract. We study the reverse mathematics and computability-the-oretic strength of (stable) Ramsey’...
he main objective of this research is to study the relative strength of combinatorial principles, in...
We produce a first order proof of a famous combinatorial result, Ramsey Theorem for pairs and in two...
We study the reverse mathematics and computability-theoretic strength of (stable) Ramsey’s Theorem f...
The purpose is to study the strength of Ramsey's Theorem for pairs restricted to recursive assignmen...
Abstract. The Rainbow Ramsey Theorem is essentially an “anti-Ramsey ” theorem which states that cert...
In this thesis we give a proof-theoretic account of the strength of Ramsey's theorem for pairs and r...
AbstractWe study combinatorial principles weaker than Ramsey’s theorem for pairs over the RCA0 (recu...
Abstract. We show that the principle PART from Hirschfeldt and Shore [7] is equivalent to the Σ02-Bo...
Abstract. We discuss the use of nonstandard methods in the study of Ramsey type problems, and illust...
International audienceRamsey's theorem for n-tuples and k-colors (RT n k) asserts that every k-color...
We use the Boyer-Moore Prover, Nqthm, to verify the Paris-Harrington version of Ramsey's Theore...
International audienceRamsey's theorem for pairs asserts that every 2-coloring of the pairs of integ...