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Otherwise, by definition of as-OTM-realizability for formulas with free variables, an as-OTM- realizer for ϕ → ψ(a) is one for ∀a(ϕ → ψ(a))

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Almost sure OTM-realizability

math.LO · 2024-03-15 · unverdicted · novelty 5.0

Almost sure OTM-realizability differs from plain realizability but remains closed under intuitionistic predicate logic and realizes Kripke-Platek set theory.

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  • Almost sure OTM-realizability math.LO · 2024-03-15 · unverdicted · none · ref 25

    Almost sure OTM-realizability differs from plain realizability but remains closed under intuitionistic predicate logic and realizes Kripke-Platek set theory.