Why the usual candidates of reducibility do not work for the symmetric $λμ$-calculus

Mathematics – Logic

Scientific paper

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Second Workshop on Computational Logic and Applications (CLA 2004), France (2004)

Scientific paper

The symmetric $\lambda mu$-calculus is the $\lambda\mu$-calculus introduced
by Parigot in which the reduction rule $\mu'$, which is the symmetric of $\mu$,
is added. We give examples explaining why the technique using the usual
candidates of reducibility does not work. We also prove a standardization
theorem for this calculus.

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