Abstract
We introduce a calculus which is a direct extension of both the λ and the π calculi. We give a simple type system for it, that encompasses both Curry‘s type inference for the λ-calculus, and Milner‘s sorting for the π-calculus as particular cases of typing. We observe that the various continuation passing style transformations for λ-terms, written in our calculus, actually correspond to encodings already given by Milner and others for evaluation strategies of λ-terms into the π-calculus. Furthermore, the associated sortings correspond to well-known double negation translations on types. Finally we provide an adequate CPS transform from our calculus to the π-calculus. This shows that the latter may be regarded as an “assembly language”, while our calculus seems to provide a better programming notation for higher-order concurrency. We conclude by discussing some alternative design decisions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
