The Inf function in the system F

René David (1)

1 LAMA - Laboratoire de Mathématiques

We give a lambda-term of type Nat, Nat->Nat in the system F that computes the minimum of 2 Church numerals in time O(inf.log(inf)). This refutes a conjecture of the "lambda folklore".

Domaines: Logique [math.LO]; Logique en informatique [cs.LO]

René David. The Inf function in the system F. Theoretical Computer Science, 1994, 135, p 423-431. ⟨hal-00385177⟩