A constructive interpretation of Ramsey's theorem via the product of selection functions

作者:Oliva Paulo*; Powell Thomas
来源:Mathematical Structures in Computer Science, 2015, 25(8): 1755-1778.
DOI:10.1017/S0960129513000340

摘要

We use Godel's dialectica interpretation to produce a computational version of the well-known proof of Ramsey's theorem by Erdos and Rado. Our proof makes use of the product of selection functions, which forms an intuitive alternative to Spector's bar recursion when interpreting proofs in analysis. This case study is another instance of the application of proof theoretic techniques in mathematics.

  • 出版日期2015-12