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  1. Craig Interpolation Theorem Fails in Bi-Intuitionistic Predicate Logic.Grigory K. Olkhovikov & Guillermo Badia - 2024 - Review of Symbolic Logic 17 (2):611-633.
    In this article we show that bi-intuitionistic predicate logic lacks the Craig Interpolation Property. We proceed by adapting the counterexample given by Mints, Olkhovikov and Urquhart for intuitionistic predicate logic with constant domains [13]. More precisely, we show that there is a valid implication $\phi \rightarrow \psi $ with no interpolant. Importantly, this result does not contradict the unfortunately named ‘Craig interpolation’ theorem established by Rauszer in [24] since that article is about the property more correctly named ‘deductive interpolation’ (see (...)
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