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

    It is not the case that The inference from known endpoint separations (L⊊PSPACE, P⊊EXP) to an intermediate proper inclusion commits the fallacy of assuming transitivity of witness.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Transitivity of ⊊ is valid set-theoretically; the claim conflates a proof technique with the logical relation itself.
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    • 2.Known separations (oracles, diagonalization limits) actually constrain intermediate class positions without requiring 'intermediate witnesses.'
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    • 3.The fallacy diagnosis conflates assumptions about proof methods with illegitimate inferences about the classes themselves.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Knowing A⊊B and B⊊C permits only that A⊊C; intermediate containments require separate witness constructions, not transitivity.
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    • 2.A witness separating L from PSPACE differs fundamentally from a witness separating PSPACE from EXP; conflating them commits category error.
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    • 3.The logical structure P⊊EXP doesn't constrain PSPACE's position without explicit lower bounds, making its intermediate status unwarranted.
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