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.
Then there is a two-hole context ˆC such that C = ˆC⟨□, (λ ℓ′ y.u )¯r⟩ and C1 = ˆC⟨t{{ x := ¯s}}, □⟩
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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.