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Counting a type's (principal) inhabitants

Broda S., Damas L.

Fundamenta Informaticae

2001

Vol. 45, nr 1,2

33-51

We present a Counting Algorithm that computes the number of l-terms in b-normal form that have a given type t as a principal type and produces a list of these terms. The design of the algorithm follows the lines of Ben-Yelles' algorithm for counting normal (not necessarily principal) inhabitants of a type t. Furthermore, we show that one can use similar algorithms with adequate limits to count normal and principal normal inhabitants in the lI-calculus.