ON THE UNIQUENESS OF $ \beta\delta $-NORMAL FORM OF TYPED $ \lambda $-TERMS FOR THE CANONICAL NOTION OF $ \delta $-REDUCTION

Authors

  • D.A. Grigoryan Chair of Programming and Information Technologies, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2019.53.1.037

Keywords:

canonical notion of $ \delta $-reduction, SI-property, $ \beta\delta $-normal form

Abstract

In this paper we consider a substitution and inheritance property, which is the necessary and sufficient condition for the uniqueness of $ \beta\delta $-normal form of typed $ \lambda $-terms, for canonical notion of $ \delta $-reduction. Typed $ \lambda $-terms use variables of any order and constants of order $ \leq 1 $, where the constants of order 1 are strongly computable, monotonic functions with indeterminate values of arguments. The canonical notion of $ \delta $-reduction is the notion of $ \delta $-reduction that is used in the implementation of functional programming languages.

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Published

2019-04-15

How to Cite

Grigoryan, D. (2019). ON THE UNIQUENESS OF $ \beta\delta $-NORMAL FORM OF TYPED $ \lambda $-TERMS FOR THE CANONICAL NOTION OF $ \delta $-REDUCTION. Proceedings of the YSU A: Physical and Mathematical Sciences, 53(1 (248), 37–46. https://doi.org/10.46991/PYSU:A/2019.53.1.037

Issue

Section

Informatics