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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2018, Volume 52, Issue 3, Pages 191–199 (Mi uzeru489)  

Communications
Informatics

On main canonical notion of $\delta$-reduction

D. A. Grigoryan

Yerevan State University, Faculty of Informatics and Applied Mathematics
References:
Abstract: 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.
Received: 04.07.2018
Accepted: 26.11.2018
Document Type: Article
UDC: 539.3
MSC: 68N18
Language: English
Citation: D. A. Grigoryan, “On main canonical notion of $\delta$-reduction”, Proceedings of the YSU, Physical and Mathematical Sciences, 52:3 (2018), 191–199
Citation in format AMSBIB
\Bibitem{Gri18}
\by D.~A.~Grigoryan
\paper On main canonical notion of $\delta$-reduction
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2018
\vol 52
\issue 3
\pages 191--199
\mathnet{http://mi.mathnet.ru/uzeru489}
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