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arxiv: 0905.0456 · v1 · submitted 2009-05-04 · 🧮 math.LO

Non deterministic classical logic: the λμ⁺⁺-calculus

classification 🧮 math.LO
keywords calculuslambdadataallowscalledclassicalconfluencedeterministic
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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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