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    Resolution's complexity profile is a property of the form... — Carmelics
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    Challenges→Resolution is not polynomially bounded.

    Resolution's complexity profile is a property of the formalism, not of the underlying logical truths, so the claim conflates proof-system limitations with logical necessity.

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    1 reason for
    1 reason against

    Reasons For

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    Reason for
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    • 1.Resolution's exponential blowup mirrors SAT solver limitations, not inherent logical difficulty—other proof systems handle same formulas efficiently.
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    • 2.A logical truth remains valid regardless of proof method; conflating proof length with logical necessity commits a category error between epistemology and metaphysics.
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    • 3.Pigeonhole principle has short natural deduction proofs but long resolution proofs, showing complexity depends on formalism choice, not the principle itself.
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    Reasons Against

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    Reason against
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    • 1.Resolution's worst-case exponential lower bounds are invariant across implementations—no reformulation escapes them, suggesting they reflect logical, not accidental, constraints.
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    • 2.Even if some truths have efficient proofs elsewhere, resolution's hardness reveals genuine structural properties about clause-based reasoning that matter logically.
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    • 3.Dismissing proof-system limitations as 'merely formalism' risks obscuring real computational barriers that constrain what can be practically known or verified.
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    Related

    A logical truth remains valid regardless of proof method; conflating proof lengt...Dismissing proof-system limitations as 'merely formalism' risks obscuring real c...Even if some truths have efficient proofs elsewhere, resolution's hardness revea...Pigeonhole principle has short natural deduction proofs but long resolution proo...
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    Resolution is not polynomially bounded.Resolution's exponential blowup mirrors SAT solver limitations, not inherent log...Resolution's worst-case exponential lower bounds are invariant across implementa...

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    claim
    Perspectives
    2 (1 for, 1 against)
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