Non deterministic classical logic: the $λμ^{++}$-calculus

Mathematics – Logic

Scientific paper

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Scientific paper

In this paper, we present an extension of $\lambda\mu$-calculus called
$\lambda\mu^{++}$-calculus which has the following properties: subject
reduction, strong normalization, unicity of the representation of data and thus
confluence only on data types. This calculus allows also to program the
parallel-or.

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