A CPS-translation of the λμ-calculus

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.