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The Correctness of Set-Sharing (AGP'98)

[Page last updated on "January 13, 2005, 15:31:42".]

Patricia M. Hill, Roberto Bagnara, and Enea Zaffanella


It is important that practical data flow analysers are backed by reliably proven theoretical results. Sharing is an abstract domain that is a standard choice for sharing analysis for both practical work and further theoretical study. In spite of this, we found that there are no satisfactory proofs for the key properties of commutativity and idempotence that are essential for Sharing to be well-defined and that published statements of the safeness property assumed the occur-check. This paper provides a generalisation of the abstraction function for Sharing that can be applied to any language, with or without the occur-check. The results for safeness, idempotence and commutativity for abstract unification using this abstraction function are given.

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