English

On functors enumerating structures

Logic 2017-08-11 v2

Abstract

We study a new notion of reduction between structures called enumerable functors related to the recently investigated notion of computable functors. Our main result shows that enumerable functors and effective interpretability with the equivalence relation computable are equivalent. We also obtain results on the relation between enumerable and computable functors.

Keywords

Cite

@article{arxiv.1706.05939,
  title  = {On functors enumerating structures},
  author = {Dino Rossegger},
  journal= {arXiv preprint arXiv:1706.05939},
  year   = {2017}
}

Comments

16 pages v2: corrected typos