Abstract
We show that any λ-model gives rise to a λμ-model, in the sense that if we have M= λμN in the equational theory of type free λμ-calculus then [[M]]= D[[N]] holds true for some structure 〈[[−]],D〉 induced from a λ-model. The construction of λμ-models can be given by the use of a fixed point operator and the Gödel–Gentzen translation.
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