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An intuitionistic λ-calculus with exceptions
Published online by Cambridge University Press: 08 December 2004
Abstract
We introduce a typed λ-calculus which allows the use of exceptions in the ML style. It is an extension of the system $AF_2$ of Krivine & Leivant (Krivine, 1990; Leivant, 1983). We show its main properties: confluence, strong normalization and weak subject reduction. The system satisfies the “the proof as program” paradigm as in $AF_2$. Moreover, the underlined logic of our system is intuitionistic logic.
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