English

Non-deterministic inductive definitions

Logic 2012-09-17 v2

Abstract

We study a new proof principle in the context of constructive Zermelo-Fraenkel set theory based on what we will call "non-deterministic inductive definitions". We give applications to formal topology as well as a predicative justification of this principle.

Keywords

Cite

@article{arxiv.1104.2744,
  title  = {Non-deterministic inductive definitions},
  author = {Benno van den Berg},
  journal= {arXiv preprint arXiv:1104.2744},
  year   = {2012}
}
R2 v1 2026-06-21T17:54:01.572Z