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    If CBF is evaluated under a constant-domain semantics rat... — Carmelics
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    Challenges→CBF (Converse Barcan Formula) is unprovable in KQML

    If CBF is evaluated under a constant-domain semantics rather than varying-domain Kripke semantics, it becomes valid, making unprovability relative to semantic choice, not absolute.

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    Key Terms

    CBF(Discussed in the context of quantified modal logic)
    The Converse Barcan Formula, a principle in modal predicate logic that entails the necessity principle N
    Constant-domain semantics(as one method of evaluating logical validity)
    A way of interpreting logical statements where the set of things that exist stays the same across all situations being considered.
    Saul Kripke(in 20th-century philosophy)
    An influential modern philosopher who developed new ways of thinking about meaning, necessity, and possibility by using the idea of 'possible worlds.'
    Unprovability(describing mathematical claims that cannot be established as true)
    The quality of a statement that cannot be logically proven true using the accepted rules and facts of a system, like a math problem that has no solution.

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    Varying-domain Kripke semantics(as an alternative method of evaluation mentioned in comparison)
    A way of interpreting logical statements (developed by philosopher Saul Kripke) where the set of things that exist can change between different situations, and the rules for truth shift accordingly.
    semantics(Distinguished from metasemantics and pragmatics in Kaplan 1989)
    The domain that concerns the facts about what meanings words or phrases have.
    valid(Contrasted with the proof-theoretic notion of deducibility)
    A model-theoretic notion indicating that a conclusion is true in every model in which the premises are true

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    Truth & Knowledge1 linkedModality & Possibility1 linked

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    CBF (Converse Barcan Formula) is unprovable in KQML

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