The λ̄μμ̄-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. © Springer-Verlag Berlin Heidelberg 2006.
CITATION STYLE
Coen, C. S. (2006). Explanation in natural language of λ̄μμ̄-terms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3863 LNAI, pp. 234–249). https://doi.org/10.1007/11618027_16
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