THEOREM-PROVING BY COMPUTER.

Abstract

The subject of this study is the development of efficient theorem-proving algorithms, amenable to computer implementation, through the application of the theory of mathematical logic. The approach taken is via the Herbrand theorem and consists in expressing the denial of the theorem as a prefix formula of predicate calculus and generating an inconsistent set of instances of this formula. Several such refutation procedures are described and shown to be capable of deciding the satisfiability of various classes of formulas. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1966
Accession Number
AD0628319

Entities

People

  • B. Kallick

Organizations

  • IIT Research Institute

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Calculus
  • Computers
  • Logic
  • Mathematical Logic

Readers

  • Artificial Intelligence
  • Computational Linguistics