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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that KQML's soundness proof applies only to closed formulas, leaving open whether CBF is provable for open formulas under extended interpretations.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
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    • 1.Open formulas are ubiquitous in logical systems; restricting soundness to closed formulas severely limits the practical utility of KQML.
      ?

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    • 2.Extended interpretations are standard in model theory; treating them as exceptional rather than routine suggests incomplete framework design.
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    • 3.The claim conflates technical proof presentation with actual soundness; CBF may be provable for open formulas via alternative approaches not yet explored.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Soundness proofs for closed formulas establish a foundational guarantee; extending them to open formulas requires additional technical machinery.
      ?

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    • 2.CBF under extended interpretations involves variable binding complexities absent in closed formulas, justifying separate proof requirements.
      ?

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    • 3.Acknowledging proof limitations for open formulas demonstrates intellectual honesty and prevents overconfidence in the system's scope.
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