English

Categorical Comprehensions and Recursion

Category Theory 2015-01-29 v2

Abstract

A new categorical setting is defined in order to characterize the subrecursive classes belonging to complexity hierarchies. This is achieved by means of coercion functors over a symmetric monoidal category endowed with certain recursion schemes that imitate the bounded recursion scheme. This gives a categorical counterpart of generalized safe composition and safe recursion.

Keywords

Cite

@article{arxiv.1501.06889,
  title  = {Categorical Comprehensions and Recursion},
  author = {Joaquín Díaz Boils},
  journal= {arXiv preprint arXiv:1501.06889},
  year   = {2015}
}

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R2 v1 2026-06-22T08:14:18.120Z