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gapt.expr.util

longNormalForm

object longNormalForm

If t = λx₁...λxₘ(y u₁ ... uₚ) is a normal term of type T₁ → ... → Tₙ → U, with U atomic and m ≤ n, then its long normal form is the term

λx₁...λxₘλxₘ₊₁...λxₙ(y u₁'... uₚ' xₘ₊₁' ... xₙ'),

where uᵢ' is the long normal form of uᵢ and xⱼ' is the long normal form of xⱼ.

Implemented according to Definition 2.25, Higher-Order Unification and Matching by Gilles Dowek.

Source
longNormalForm.scala
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  4. def apply(e: Expr): Expr

    Computes the long normal form.

    Computes the long normal form.

    returns

    The long normal form of term. Note that η-expansion is applied only to expressions in β-normal form.

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