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arxiv: 1703.04648 · v1 · pith:XMDCRXBRnew · submitted 2017-03-14 · 🧮 math.LO

Two Dichotomy Theorems

classification 🧮 math.LO
keywords dichotomylanguagespropertysomeby-productcartesiancomputabledisjoint
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We introduce the Dichotomy Property, a new property of some languages in Set Computable Theory, in order to explore the expressivity of some languages which are extensions of MLS. By-product we prove undecidability of MLS extended with not ordered cartesian product and disjoint unary union operators.

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