Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The metamathematics of Stable Ramsey’s Theorem for Pairs - MaRDI portal

The metamathematics of Stable Ramsey’s Theorem for Pairs

From MaRDI portal
Publication:3190948

DOI10.1090/S0894-0347-2014-00789-XzbMath1341.03015OpenAlexW2102358420MaRDI QIDQ3190948

Yue Yang, Theodore A. Slaman, Chi Tat Chong

Publication date: 19 September 2014

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-2014-00789-x




Related Items

An inside/outside Ramsey theorem and recursion theoryReduction games, provability and compactnessInductive inference and reverse mathematicsThe proof-theoretic strength of Ramsey's theorem for pairs and two colorsOn principles between ∑1- and ∑2-induction, and monotone enumerationsComputable Reductions and Reverse MathematicsNONSTANDARD MODELS IN RECURSION THEORY AND REVERSE MATHEMATICSDominating the Erdős-Moser theorem in reverse mathematicsExtracting randomness within a subset is hardOn the strength of Ramsey's theorem for treesOPEN QUESTIONS ABOUT RAMSEY-TYPE STATEMENTS IN REVERSE MATHEMATICSRamsey’s theorem for singletons and strong computable reducibilityHOW STRONG IS RAMSEY’S THEOREM IF INFINITY CAN BE WEAK?The Paris-Harrington principle and second-order arithmetic -- bridging the finite and infinite Ramsey theoremSome upper bounds on ordinal-valued Ramsey numbers for colourings of pairsON THE UNIFORM COMPUTATIONAL CONTENT OF RAMSEY’S THEOREM(EXTRA)ORDINARY EQUIVALENCES WITH THE ASCENDING/DESCENDING SEQUENCE PRINCIPLESome Questions in Computable MathematicsSTRONG REDUCTIONS BETWEEN COMBINATORIAL PRINCIPLESTHE STRENGTH OF THE TREE THEOREM FOR PAIRS IN REVERSE MATHEMATICSSome logically weak Ramseyan theoremsDegrees bounding principles and universal instances in reverse mathematicsOn the logical strengths of partial solutions to mathematical problemsThe weakness of being cohesive, thin or free in reverse mathematicsA weak variant of Hindman's theorem stronger than Hilbert's theoremThe inductive strength of Ramsey's theorem for pairsWhere pigeonhole principles meet Koenig lemmasNew bounds on the strength of some restrictions of Hindman's theoremCOMPARING THE STRENGTH OF DIAGONALLY NONRECURSIVE FUNCTIONS IN THE ABSENCE OF INDUCTIONOn uniform relationships between combinatorial problems\( \mathsf{SRT}_2^2\) does not imply \(\mathsf{RT}_2^2\) in \(\omega \)-modelsThe atomic model theorem and type omittingReverse mathematics and colorings of hypergraphsPigeons do not jump highCohesive avoidance and strong reductionsThe strength of Ramsey’s theorem for pairs over trees: I. Weak König’s LemmaIn search of the first-order part of Ramsey's theorem for pairs



Cites Work