SEMI-AUTOMATED MATHEMATICS: SAM IV.

Abstract

The fourth in a series of computer experiments on theorem proving is described. The man-machine interactive program is designed to handle any mathematical statement that can be expressed by means of many sorted variables and constants for an omegaorder predicate-function calculus with equality, lambda, and methods of definition. Natural deduction by subordinate proof is used to carry out proofs. The program includes a convenient input/output language, a language for handling sorts and range of symbols, and an automatic logic routine whose function is to automatically justify proof lines which 'trivially' follow from previous results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1964
Accession Number
AD0619301

Entities

People

  • David B. Loveman
  • James H. Bennett
  • James R. Guard
  • Thomas H. Mott Jr.
  • William B. Easton

Tags

DTIC Thesaurus Topics

  • Automatic
  • Calculus
  • Language
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Computational Linguistics
  • Graph Algorithms and Convex Optimization.