English

Worms and Spiders: Reflection calculi and ordinal notation systems

Logic 2017-10-04 v3

Abstract

We give a general overview of ordinal notation systems arising from reflection calculi, and extend the to represent impredicative ordinals up to those representable using Buchholz-style collapsing functions.

Cite

@article{arxiv.1605.08867,
  title  = {Worms and Spiders: Reflection calculi and ordinal notation systems},
  author = {David Fernández-Duque},
  journal= {arXiv preprint arXiv:1605.08867},
  year   = {2017}
}
R2 v1 2026-06-22T14:11:53.438Z