New bounds on the strength of some restrictions of Hindman’s Theorem-Reference-Cited by-同舟云学术

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New bounds on the strength of some restrictions of Hindman’s Theorem

Published:2020-05-13 Issue:2 Volume:9 Page:139-153
ISSN:2211-3576
Container-title:Computability
language:
Short-container-title:COM

Author:

Carlucci Lorenzo¹,Kołodziejczyk Leszek Aleksander²,Lepore Francesco³,Zdanowski Konrad⁴

Affiliation:

1. Department of Computer Science, University of Rome I, Italy. carlucci@di.uniroma1.it

2. Institute of Mathematics, University of Warsaw, Poland. lak@mimuw.edu.pl

3. Department of Computer Science, University of Rome I, Italy. lepore90@gmail.com

4. Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University in Warsaw, Poland. k.zdanowski@uksw.edu.pl

Publisher

IOS Press

Subject

Artificial Intelligence,Computational Theory and Mathematics,Computer Science Applications,Theoretical Computer Science

Reference27 articles.

1. S. Argyros and S. Todorčević, Ramsey Methods in Analysis, Advanced Courses in Mathematics CRM Barcelona, Birkhäuser, Basel-Boston-Berlin, 2005.

2. Ultrafilters, IP sets, dynamics, and combinatorial number theory;Bergelson;Contemporary Mathematics,2010

3. Some questions arising from Hindman’s Theorem;Blass;Scientiae Mathematicae Japonicae,2005

4. Logical analysis of some theorems of combinatorics and topological dynamics

5. A weak variant of Hindman’s Theorem stronger than Hilbert’s Theorem;Carlucci;Archive for Mathematical Logic,2018

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Regressive versions of Hindman’s theorem;Archive for Mathematical Logic;2024-01-31

2. Thin Set Versions of Hindman’s Theorem;Notre Dame Journal of Formal Logic;2022-11-01

3. Hindman’s theorem for sums along the full binary tree, $$\Sigma ^0_2$$-induction and the Pigeonhole principle for trees;Archive for Mathematical Logic;2022-01-21

4. Finiteness classes arising from Ramsey-theoretic statements in set theory without choice;Annals of Pure and Applied Logic;2021-06

5. Restrictions of Hindman’s Theorem: An Overview;Lecture Notes in Computer Science;2021

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