Communication Dans Un Congrès Année : 2014

Expressive completeness of separation logic with two variables and no separating conjunction

Résumé

We show that first-order separation logic with one record field restricted to two variables and the separating implication (no separating conjunction) is as expressive as weak second-order logic, substantially sharpening a previous result. Capturing weak second-order logic with such a restricted form of separation logic requires substantial updates to known proof techniques. We develop these, and as a by-product identify the smallest fragment of separation logic known to be undecidable: first-order separation logic with one record field, two variables, and no separating conjunction.

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hal-03201035 , version 1 (17-04-2021)

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Stéphane Demri, Morgan Deters. Expressive completeness of separation logic with two variables and no separating conjunction. CSL-LICS '14: JOINT MEETING OF the Twenty-Third EACSL Annual Conference on COMPUTER SCIENCE LOGIC, Jul 2014, Vienna, Austria. pp.37:1-37:10, ⟨10.1145/2603088.2603142⟩. ⟨hal-03201035⟩

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