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Remarks on the Church-Rosser Property

Published online by Cambridge University Press:  12 March 2014

E. G. K. López-Escobar
E. G. K. López-Escobar*
Affiliation:
Department of Mathematics and Institute for Advanced Computer Studies, University of Maryland, College Park, Maryland 20742
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Abstract

A reduction algebra is defined as a set with a collection of partial unary functions (called reduction operators). Motivated by the lambda calculus, the Church-Rosser property is defined for a reduction algebra and a characterization is given for those reduction algebras satisfying CRP and having a measure respecting the reductions. The characterization is used to give (with 20/20 hindsight) a more direct proof of the strong normalization theorem for the impredicative second order intuitionistic propositional calculus.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 55 , Issue 1 , March 1990 , pp. 106 - 112
Copyright
Copyright © Association for Symbolic Logic 1990

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References

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