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Explanation in Natural Language of ¯ λµ˜µ-terms Project PCRI, CNRS,
BibTeX
@MISC{Coen_explanationin,
author = {Claudio Sacerdoti Coen and École Polytechnique and Université Paris-sud},
title = {Explanation in Natural Language of ¯ λµ˜µ-terms Project PCRI, CNRS,},
year = {}
}
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Abstract
Abstract. The ¯ λµ˜µ-calculus, introduced by Curien and Herbelin, is a calculus isomorphic to (a variant of) the classical sequent calculus LK of Gentzen. As a proof format it has very remarkable properties that we plan to study in future works. In this paper we embed it with a rendering semantics that provides explanations in pseudo-natural language of its proof terms, in the spirit of the work of Yann Coscoy [3] for the λ-calculus. The rendering semantics unveils the richness of the calculus that allows to preserve several proof structures that are identified when encoded in the λ-calculus. 1
