Type inference with recursive types: syntax and semantics
Information and Computation
Handbook of logic in computer science (vol. 2)
Positive Recursive Type Assignment
MFCS '95 Proceedings of the 20th International Symposium on Mathematical Foundations of Computer Science
Lambda Calculus with Constrained Types (Extended Abstract)
Proceedings of the Conference on Logic of Programs
Type fixpoints: iteration vs. recursion
Proceedings of the fourth ACM SIGPLAN international conference on Functional programming
A lean specification for GADTs: system F with first-class equality proofs
Higher-Order and Symbolic Computation
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We consider several different definitions of type assignment with positive recursive types, from the point of view of their typing ability. We discuss the relationships between these systems. In particular, we show that the class of typable pure lambda terms remains the same for different type disciplines involving positive type fixpoints, and that type reconstruction is decidable.