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Rank 2 Type Assignment for Applicative Term Graph Rewriting

Steffen van Bakel

Conference or Workshop Paper
Workshop on Types in Programming (TIP'02), Dagstuhl, Germany
July, 2002
Electronic Notes in Theoretical Computer Science
Volume 75
DOI 10.1016/S1571-0661(04)80776-X

We define a notion of type assignment with polymorphic intersection types of rank 2 for a term graph rewriting language that expresses sharing and cycles. We show that type assignment is decidable through defining, using the extended notion of unification from [Bakel-Barbanera-Fernandez-Types'00], a notion of principal pair which generalizes ML's principal type property.

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