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The Inhabitation Problem for Non-idempotent Intersection Types

By Antonio Bucciarelli, Delia Kesner and Simona Ronchi Della Rocca

Abstract

Part 2: Track B: Logic, Semantics, Specification and VerificationInternational audienceThe inhabitation problem for intersection types is known to be undecidable. We study the problem in the case of non-idempotent intersection, and we prove decidability through a sound and complete algorithm. We then consider the inhabitation problem for an extended system typing the λ-calculus with pairs, and we prove the decidability in this case too. The extended system is interesting in its own, since it allows to characterize solvable terms in the λ-calculus with pairs

Topics: [ INFO ] Computer Science [cs]
Publisher: Springer
Year: 2014
DOI identifier: 10.1007/978-3-662-44602-7_26
OAI identifier: oai:HAL:hal-01402082v1
Provided by: Hal-Diderot
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