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arXiv · 1712.03829

Inhabitation for Non-idempotent Intersection Types

Antonio Bucciarelli·Delia Kesner·Simona Ronchi Della Rocca
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Abstract

The inhabitation problem for intersection types in the lambda-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 lambda-terms. We prove the decidability of the inhabitation problem for all the systems considered, by providing sound and complete inhabitation algorithms for them.

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Antonio Bucciarelli, Delia Kesner, Simona Ronchi Della Rocca. 2018-08-02. Inhabitation for Non-idempotent Intersection Types. https://doi.org/10.23638/lmcs-14(3%3A7)2018

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