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  1. Modal Definability: Two Commuting Equivalence Relations.Yana Rumenova & Tinko Tinchev - 2022 - Logica Universalis 16 (1):177-194.
    We prove that modal definability with respect to the class of all structures with two commuting equivalence relations is an undecidable problem. The construction used in the proof shows that the same is true for the subclass of all finite structures. For that reason we prove that the first-order theories of these classes are undecidable and reduce the latter problem to the former.
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