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

ON TYPED AND UNTYPED LAMBDA-TERMS

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).

Typedλ-terms that use variables of any order and don’t use constants oforder>1 are studied in the paper. An algorithm of translation of typedλ-terms to untypedλ-terms is presented. According to that algorithm, eachtyped termtis mapped to an untyped termt′. We study in which case typedtermst1,t2such thatt1→→β δt2correspond to untyped termst1′,t2′such thatt1′→→βt2′.

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