Functions as proofs as processes
Logic in Computer Science
2011-07-22 v1
Abstract
This paper presents a logical approach to the translation of functional calculi into concurrent process calculi. The starting point is a type system for the {\pi}-calculus closely related to linear logic. Decompositions of intuitionistic and classical logics into this system provide type-preserving translations of the \lambda- and \lambda\mu-calculus, both for call-by-name and call-by-value evaluation strategies. Previously known encodings of the \lam-calculus are shown to correspond to particular cases of this logical embedding. The realisability interpretation of types in the \pi-calculus provides systematic soundness arguments for these translations and allows for the definition of type-safe extensions of functional calculi.
Keywords
Cite
@article{arxiv.1107.4160,
title = {Functions as proofs as processes},
author = {Emmanuel Beffara},
journal= {arXiv preprint arXiv:1107.4160},
year = {2011}
}