A CPS-translation of the λμ-calculus
Identifieur interne : 00D636 ( Main/Merge ); précédent : 00D635; suivant : 00D637A CPS-translation of the λμ-calculus
Auteurs : Philippe De Groote [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: We present a translation of Parigot's λμ-calculus [10] into the usual λ-calculus. This translation, which is based on the so-called continuation passing style, is correct with respect to equality and with respect to evaluation. At the type level, it induces a logical interpretation of classical logic into intuitionistic one, akin to Kolmogorov's negative translation. As a by-product, we get the normalization of second order typed λμ-calculus.
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DOI: 10.1007/BFb0017475
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<front><div type="abstract" xml:lang="en">Abstract: We present a translation of Parigot's λμ-calculus [10] into the usual λ-calculus. This translation, which is based on the so-called continuation passing style, is correct with respect to equality and with respect to evaluation. At the type level, it induces a logical interpretation of classical logic into intuitionistic one, akin to Kolmogorov's negative translation. As a by-product, we get the normalization of second order typed λμ-calculus.</div>
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