@article{MAKHILLJEAS2019142118602, title = {On Notion Of βδ-Reduction for Main Canonical Notion of δ-Reduction}, journal = {Journal of Engineering and Applied Sciences}, volume = {14}, number = {21}, pages = {7853-7856}, year = {2019}, issn = {1816-949x}, doi = {jeasci.2019.7853.7856}, url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2019.7853.7856}, author = {D.A.}, keywords = {δ-reduction,main canonical notion,Typed λ-terms,canonical notion,monotonic functions,uniqueness of βδ-normal form}, 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.} }