A crevice on the Crane Beach: finite-degree predicates

First-order logic (FO) over words is shown to be equiexpressive with FO equipped with a restricted set of numerical predicates, namely the order, a binary predicate MSB0, and the finite-degree predicates: FO[ARB] = FO[≤, MSB0, FIN]. The Crane Beach Property (CBP), introduced more than a decade ago,...

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Bibliographic Details
Main Authors: Cadilhac, M, Paperman, C
Format: Conference item
Published: IEEE 2017