Raymond Smullyan on Self Reference by Melvin Fitting & Brian Rayman
Author:Melvin Fitting & Brian Rayman
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham
Translating CL in
There are translations in both directions between CL and , preserving certain properties. Here we will only be concerned with the easy direction, from CL to . The translation consists of the contextual closure of the replacements
To keep reading light, we allow ourselves the notational liberty of using the same letter for a term in CL and its translation in . The reader who dislikes that, will have no problem in inserting several as used in Barendregt (1984) at the right places. The salient property is that reduction is preserved:
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