A complete mechanization of (&ohgr;) -order type theory

Authors:
T. Pietrzykowski;D. C. Jensen
Affiliations:
-;-
Venue:
ACM '72 Proceedings of the ACM annual conference - Volume 1
Year:
1972

Citing 2
Cited 2

A Machine-Oriented Logic Based on the Resolution Principle

Journal of the ACM (JACM)
The Calculi of Lambda Conversion. (AM-6) (Annals of Mathematics Studies)

The Calculi of Lambda Conversion. (AM-6) (Annals of Mathematics Studies)

A mechanization of type theory

IJCAI'73 Proceedings of the 3rd international joint conference on Artificial intelligence
Higher-order aspects and context in SUMO

Web Semantics: Science, Services and Agents on the World Wide Web

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Abstract

We present a complete unification algorithm for logic with the language of all finite types. In addition, we show how this procedure can be used with a generalized resolution principle which does not require expressions to be pre-Skolemized. Both of these steps are essential for an effective and complete mechanization of higher order logic.