A mechanization of type theory

  • Authors:
  • Gerard P. Hubt

  • Affiliations:
  • IRIA - LABORIA, France

  • Venue:
  • IJCAI'73 Proceedings of the 3rd international joint conference on Artificial intelligence
  • Year:
  • 1973

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Abstract

A refutational system of logic for a language of order w ia presented . This langage is a slight modification of Church's -calculus with types. The system is complete, in the sense that a refutation of a set of sentences exists if and only if this set does not possess a general Henkin model. The main rule of inference is a generalization of Robinson's resolution to type theory, which allows us to get rid of the substitution rule.