Domenico Ruoppolo

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Working in the untyped lambda calculus, we study Morris’s λ-theory H+. Introduced in 1968, this is the original extensional theory of contextual equivalence. On the syntactic side, we show that this λ-theory validates the ω-rule, thus settling a long-standing open problem. On the semantic side, we provide sufficient and necessary conditions for relational(More)
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