The Bang Calculus and the Two Girard's Translations
arXiv:1904.06845 · doi:10.4204/EPTCS.292.2
Abstract
We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be encoded in. We investigate how the bang calculus subsumes both call-by-name and call-by-value lambda-calculi from a syntactic and a semantic viewpoint.
In Proceedings Linearity-TLLA 2018, arXiv:1904.06159