Tags:CPS translation, cyclic lambda calculus, cyclic sharing, Freyd categories, linear lambda calculus, linear logic, monoidal categories, semantics, simply typed lambda calculus and traced monoidal categories

Abstract:

We present a translation from Multiplicative Exponential Linear Logic to a simply-typed lambda calculus with cyclic sharing. This translation is derived from a simple observation on the Int-construction on traced monoidal categories. It turns out that the translation is a mixture of the call-by-name CPS translation and the Geometry of Interaction-based interpretation.