Entailment is Undecidable for Symbolic Heap Separation Logic Formulae with Non-Established Inductive Rules

Mnacho Echenim, Radu Iosif, Nicolas Peltier · 2020

Entailment is undecidable in general for Separation (SL) Logic formulæ with inductive definitions, but it has been shown to be decidable [1] if the inductive rules satisfy three conditions, namely progress, connectivity and establishment.We show that entailment is undecidable if the latter condition is dropped, thus drawing a much clearer frontier for (un)decidability.

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