English

Abstract Canonical Inference

Logic in Computer Science 2015-02-11 v2 Symbolic Computation

Abstract

An abstract framework of canonical inference is used to explore how different proof orderings induce different variants of saturation and completeness. Notions like completion, paramodulation, saturation, redundancy elimination, and rewrite-system reduction are connected to proof orderings. Fairness of deductive mechanisms is defined in terms of proof orderings, distinguishing between (ordinary) "fairness," which yields completeness, and "uniform fairness," which yields saturation.

Keywords

Cite

@article{arxiv.cs/0406030,
  title  = {Abstract Canonical Inference},
  author = {Maria Paola Bonacina and Nachum Dershowitz},
  journal= {arXiv preprint arXiv:cs/0406030},
  year   = {2015}
}

Comments

28 pages, no figures, to appear in ACM Trans. on Computational Logic