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    S4 permits variable domain semantics (as Kripke's 1963 se... — Carmelics
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    Challenges→Modal logic S4 is deductively embeddable into many-sorted logic: if Π ⊢_S4 φ then Trans(Π) ∪ ΔS4 ⊢ Trans(φ).

    S4 permits variable domain semantics (as Kripke's 1963 semantics shows), so Trans(Π) ∪ ΔS4 may validate inferences S4 itself rejects under anti-Barcan conditions.

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    Modal logic S4 is deductively embeddable into many-sorted logic: if Π ⊢_S4 φ the...

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