D.A. Grigoryan, On Notion Of βδ-Reduction for Main Canonical Notion of δ-Reduction, Journal of Engineering and Applied Sciences, Volume 14,Issue 21, 2019, Pages 7853-7856, ISSN 1816-949x, jeasci.2019.7853.7856, (https://makhillpublications.co/view-article.php?doi=jeasci.2019.7853.7856) Abstract: In this study, the notion of βδ-reduction for main canonical notion of δ-reduction is considered. Typed λ-terms use variables of any order and constants of order ≤1 where constants of order 1 are strongly computable, monotonic functions with indeterminate values of arguments. The canonical notion of δ-reduction is the notion of δ-reduction that is used in the implementation of functional programming languages. For main canonical notion of δ-reduction the uniqueness of βδ-normal form of typed λ-terms is shown. Keywords: δ-reduction;main canonical notion;Typed λ-terms;canonical notion;monotonic functions;uniqueness of βδ-normal form