Combinatory array logic with iterated relation-parameterized diffs has general quantifier-free interpolation, and the simple flat array fragment has uniform interpolation via quantifier elimination.
[BLL+19] Idan Berkovits, Marijana Lazi´ c, Giuliano Losa, Oded Padon, and Sharon Shoham
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Towards Quantifier-Free Interpolation in Array Languages with Unbounded Data Specifications
Combinatory array logic with iterated relation-parameterized diffs has general quantifier-free interpolation, and the simple flat array fragment has uniform interpolation via quantifier elimination.