Geodesic
On main canonical notion of $\delta$-reduction
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 3, pp. 191-199

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In this paper the main canonical notion of $\delta$-reduction is considered. Typed $\lambda$-terms use variables of any order and constants of order $\leq1$, where 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. For main canonical notion of $\delta$-reduction the uniqueness of $\beta\delta$-normal form of typed $\lambda$-terms is shown.
Keywords: main canonical notion,$\delta$-reduction, $\beta\delta$-reduction, normal form. 
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D. A. Grigoryan. On main canonical notion of  $\delta$-reduction. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 3, pp. 191-199. http://geodesic.mathdoc.fr/item/UZERU_2018_52_3_a5/