Combinatorial principles equivalent to weak induction-Reference-Cited by-同舟云学术

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Combinatorial principles equivalent to weak induction

Published:2020-08-03 Issue:3-4 Volume:9 Page:219-229
ISSN:2211-3576
Container-title:Computability
language:
Short-container-title:COM

Author:

Davis Caleb¹,Hirschfeldt Denis R.²,Hirst Jeffry³,Pardo Jake⁴,Pauly Arno⁵,Yokoyama Keita⁶

Affiliation:

1. Department of Mathematical Sciences, Appalachian State University, NC, USA. davisc3@appstate.edu

2. Department of Mathematics, The University of Chicago, IL, USA. drh@math.uchicago.edu

3. Department of Mathematical Sciences, Appalachian State University, NC, USA. hirstjl@appstate.edu

4. Department of Mathematical Sciences, Appalachian State University, NC, USA. pardo@alumni.nd.edu

5. Department of Computer Science, Swansea University, United Kingdom. arno.m.pauly@gmail.com

6. School of Information Science, Japan Advanced Institute of Science and Technology, Japan. y-keita@jaist.ac.jp

Publisher

IOS Press

Subject

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

Reference12 articles.

1. Effective choice and boundedness principles in computable analysis;Brattka;Bull. Symbolic Logic,2011

2. Probabilistic computability and choice;Brattka;Inform. and Comput.,2015

3. The metamathematics of stable Ramsey’s theorem for pairs;Chong;J. Amer. Math. Soc.,2014

4. Reverse mathematics and Ramsey’s property for trees;Corduan;J. Symbolic Logic,2010

5. Reverse mathematics and colorings of hypergraphs

Cited by 3 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. On the Weihrauch degree of the additive Ramsey theorem;Computability;2024-04-23

2. On the Weihrauch Degree of the Additive Ramsey Theorem over the Rationals;Revolutions and Revelations in Computability;2022

3. Reverse mathematics and colorings of hypergraphs;Archive for Mathematical Logic;2018-11-29

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