A complete type inference algorithm for simple intersection types

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Abstract

In this paper we present a decidable restriction of the intersection type discipline, obtained by combining intersection and universal quantification over types. The system, which has a notion of principal type, is a proper extension of the ML type system. A sound and complete type checking algorithm is presented and proved correct.

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Coppo, M., & Giannini, P. (1992). A complete type inference algorithm for simple intersection types. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 581 LNCS, pp. 102–123). Springer Verlag. https://doi.org/10.1007/3-540-55251-0_6

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