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VOLUME 8, ISSUE 4, PAPER 2


Linear-use CPS translations in the Enriched Effect Calculus

©Jeff Egger, University of Edinburgh
©Rasmus Ejle Møgelberg, IT University, Copehagen
©Alex Simpson, University of Edinburgh

Abstract
The enriched effect calculus (EEC) is an extension of Moggi's computational metalanguage with a selection of primitives from linear logic. This paper explores the enriched effect calculus as a target language for continuation-passing-style (CPS) translations in which the typing of the translations enforces the linear usage of continuations. We first observe that established call-by-value and call-by name linear-use CPS translations of simply-typed lambda-calculus into intuitionistic linear logic (ILL) land in the fragment of ILL given by EEC. These two translations are uniformly generalised by a single generic translation of the enriched effect calculus into itself. As our main theorem, we prove that the generic self-translation of EEC is involutive up to isomorphism. As corollaries, we obtain full completeness results, both for the generic translation, and for the original call-by-value and call-by-name translations.

Publication date: October 5, 2012

Full Text: PDF | PostScript
DOI: 10.2168/LMCS-8(4:2)2012

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