Labelled Lambda-calculi with Explicit Copy and Erase

Maribel Fernández, Nikolaos Siafakas
2010 Electronic Proceedings in Theoretical Computer Science  
We present two rewriting systems that define labelled explicit substitution lambda-calculi. Our work is motivated by the close correspondence between Levy's labelled lambda-calculus and paths in proof-nets, which played an important role in the understanding of the Geometry of Interaction. The structure of the labels in Levy's labelled lambda-calculus relates to the multiplicative information of paths; the novelty of our work is that we design labelled explicit substitution calculi that also
more » ... p track of exponential information present in call-by-value and call-by-name translations of the lambda-calculus into linear logic proof-nets.
doi:10.4204/eptcs.22.5 fatcat:i4dj6ftqufhnbhlrffimzawsba