On the relation between the λµ-calculus and the syntactic theory of sequential control

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Abstract

We construct a translation of first order λµ-calculus [15] into a subtheory of Felleisen’s λc-calculus [5, 6]. This translation preserves typing and reduction. Then, by constructing the inverse translation, we show that the two calculi are actually isomorphic.

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de Groote, P. (1994). On the relation between the λµ-calculus and the syntactic theory of sequential control. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 822 LNAI, pp. 31–43). Springer Verlag. https://doi.org/10.1007/3-540-58216-9_27

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