The Unit Proof and the Input Proof in Theorem Proving

  • Authors:

  • C. L. Chang

  • Affiliations:

  • National Institutes of Health, Division of Computer Research and Technology, Bethesda, Maryland

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 1970

Quantified Score

Hi-index 0.04

Visualization

Abstract

A resolution in which one of the two parent clauses is a unit clause is called a unit resolution, whereas a resolution in which one of the two parent clauses is an original input clause is called an input resolution. A unit (input) proof is a deduction of the empty clause □ such that every resolution in the deduction is a unit (input) resolution. It is proved in the paper that a set S of clauses containing its unit factors has a unit proof if and only if S has an input proof. A LISP program implementing unit resolution is described and results of experiments are given.