English

Kleene, Rogers and Rice Theorems Revisited in C and in Bash

Logic in Computer Science 2007-12-11 v1

Abstract

The recursion theorem in the weak form {e}(z)=x(e,z) (universal function not needed) and in Rogers form {n}(z)={{x}(n)}(z) and Rice theorem are proved a first time using programs in C, and a second time with scripts in Bash.

Cite

@article{arxiv.0712.1279,
  title  = {Kleene, Rogers and Rice Theorems Revisited in C and in Bash},
  author = {Salvatore Caporaso and Nicola Corriero},
  journal= {arXiv preprint arXiv:0712.1279},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-06-21T09:51:59.499Z