Efficient type reconstruction in the presence of inheritance

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Abstract

The complexity of type reconstruction for simply-typed lambda calculus with subtype relation resulting from single inheritance (i.e. being a disjoint union of tree-like posets) is analyzed. As a result a class of posets including (but not restricted to) trees is defined, for which the said problem is solvable in polynomial time.

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Benke, M. (1993). Efficient type reconstruction in the presence of inheritance. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 711 LNCS, pp. 272–280). Springer Verlag. https://doi.org/10.1007/3-540-57182-5_19

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