A confluent non-idempotent intersection type system for lambda-calculus induces a factorization of derivation spaces into garbage-free prefixes and garbage using a variant of the Grothendieck construction.
Note that xα 2 and yα 2 both have type α 2, but they are not simultaneously free subterms of the same subterm of t
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Factoring Derivation Spaces via Intersection Types (Extended Version)
A confluent non-idempotent intersection type system for lambda-calculus induces a factorization of derivation spaces into garbage-free prefixes and garbage using a variant of the Grothendieck construction.