Abstract
The original λ¯μμ˜ of Curien and Herbelin has a system of simple types, based on sequent calculus, embodying a Curry-Howard correspondence with classical logic. We introduce and discuss three type assignment systems that are extensions of λ¯μμ˜ with intersection and union types. The intrinsic symmetry in the λ¯μμ˜ calculus leads to an essential use of both intersection and union types.
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