Inhabitation of polymorphic and existential types
نویسندگان
چکیده
منابع مشابه
Galois Embedding from Polymorphic Types into Existential Types
We show that there exist bijective translations between polymorphic λ-calculus and a subsystem of minimal logic with existential types, which form a Galois connection and moreover a Galois embedding. From a programming point of view, this result means that polymorphic functions can be represented by abstract data types.
متن کاملType Checking and Inference for Polymorphic and Existential Types
This paper proves undecidability of type checking and type inference problems in some variants of typed lambda calculi with polymorphic and existential types. First, type inference in the domain-free polymorphic lambda calculus is proved to be undecidable, and then it is proved that type inference is undecidable in the negation, conjunction, and existence fragment of the domain-free typed lambd...
متن کاملInhabitation for Non-idempotent Intersection Types
The inhabitation problem for intersection types in λ-calculus is known to be undecidable. We study the problem in the case of non-idempotent intersection, considering several type assignment systems, which characterize the solvable or the strongly normalizing λ-terms. We prove the decidability of the inhabitation problem for all the systems considered, by providing sound and complete inhabitati...
متن کاملThe Inhabitation Problem for Intersection Types
In the system λ∧ of intersection types, without ω, the problem as to whether an arbitrary type has an inhabitant, has been shown to be undecidable by Urzyczyn in [10]. For one subsystem of λ∧, that lacks the ∧introduction rule, the inhabitation problem has been shown to be decidable in Kurata and Takahashi [9]. The natural question that arises is: What other subsystems of λ∧, have a decidable i...
متن کاملInhabitation of Low-Rank Intersection Types
We prove that the inhabitation problem (“Does there exist a closed term of a given type?”) is undecidable for intersection types of rank 3 and exponential space complete for intersection types of rank 2.
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 2010
ISSN: 0168-0072
DOI: 10.1016/j.apal.2010.04.009