TY - JOUR T1 - On Notion Of βδ-Reduction for Main Canonical Notion of δ-Reduction AU - Grigoryan, D.A. JO - Journal of Engineering and Applied Sciences VL - 14 IS - 21 SP - 7853 EP - 7856 PY - 2019 DA - 2001/08/19 SN - 1816-949x DO - jeasci.2019.7853.7856 UR - https://makhillpublications.co/view-article.php?doi=jeasci.2019.7853.7856 KW - δ-reduction KW -main canonical notion KW -Typed λ-terms KW -canonical notion KW -monotonic functions KW -uniqueness of βδ-normal form AB - 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. ER -