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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

λ-DEFINABILITY OF BUILT-IN McCARTHY FUNCTIONS ASFUNCTIONS WITH INDETERMINATE VALUES OF ARGUMENTS

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

The built-in functions of programming languages are functions with in-determinate values of arguments. The built-in McCarthy functionscar, cdr,cons, null, atom, if, eq, not, and, or, are used in all functional programminglanguages. In this paper we show theλ-definability of the built-in McCarthyfunctions as functions with indeterminate values of arguments. This result isnecessary when translating typed functional programming languages intountyped functional programming languages.

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