Completeness of the Negation as Failure Rule

Abstract

Let P be a Horn clause logic program and comp(p) be its completion in the sense of Clark. Clark gave a justification for the negation as failure rule by showing that if a ground atom A is in the finite failure set of P, then ~A is a logical consequence of comp(P), that is, the negation as failure rule is sound. We prove here that the converse also holds, that is, the negation as failure rule is complete. I

Cite

Text

Jaffar et al. "Completeness of the Negation as Failure Rule." International Joint Conference on Artificial Intelligence, 1983.

Markdown

[Jaffar et al. "Completeness of the Negation as Failure Rule." International Joint Conference on Artificial Intelligence, 1983.](https://mlanthology.org/ijcai/1983/jaffar1983ijcai-completeness/)

BibTeX

@inproceedings{jaffar1983ijcai-completeness,
  title     = {{Completeness of the Negation as Failure Rule}},
  author    = {Jaffar, Joxan and Lassez, Jean-Louis and Lloyd, John W.},
  booktitle = {International Joint Conference on Artificial Intelligence},
  year      = {1983},
  pages     = {500-506},
  url       = {https://mlanthology.org/ijcai/1983/jaffar1983ijcai-completeness/}
}