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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Reduction System for Extensional Lambda-mu Calculus
verfasst von : Koji Nakazawa, Tomoharu Nagai
Erschienen in: Rewriting and Typed Lambda Calculi
Verlag: Springer International Publishing
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The Λ
μ
-calculus is an extension of Parigot’s
λμ
-calculus. For the untyped Λ
μ
-calculus, Saurin proved some fundamental properties such as the standardization and the separation theorem. Nakazawa and Katsumata gave extensional models, called stream models, in which terms are represented as functions on streams. This paper introduces a conservative extension of the Λ
μ
-calculus, called Λ
μ
cons
, from which the open term model is straightforwardly constructed as a stream model, and for which we can define a reduction system satisfying several fundamental properties such as confluence, subject reduction, and strong normalization.