Functions as proofs as processes
نویسنده
چکیده
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 π-calculus closely related to linear logic. Decompositions of intuitionistic and classical logics into this system provide type-preserving translations of the λand λμ-calculus, both for call-by-name and call-by-value evaluation strategies. Previously known encodings of the λ-calculus are shown to correspond to particular cases of this logical embedding. The realisability interpretation of types in the π-calculus provides systematic soundness arguments for these translations and allows for the definition of type-safe extensions of functional calculi.
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عنوان ژورنال:
- CoRR
دوره abs/1107.4160 شماره
صفحات -
تاریخ انتشار 2007