The meaning of Succ is lifting n-ary functions to (n+1)-ary functions. This gives de bruijn shifting a semnantic interpretation. This trick appears in Kiselyov’s SKI semantically https://okmij.org/ftp/tagless-final/ski.pdf , Pavel’s blog post https://pavpanchekha.com/blog/egg-bindings.html , and McBride references Thorsten Altenkirch, Martin Hofmann & Thomas Streicher (1995): Categorical Reconstruction of a Reduction Free Normalization Proof, where there is some neat ML code in the appendix
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