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cs.CR 1

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2026 1

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Witness Complexity of Short Descriptions: A Cryptographic Perspective

cs.CR · 2026-06-30 · unverdicted · novelty 7.0

Introduces witness complexity γ(x) measuring expansion time of near-shortest descriptions, proving polynomial invariance, conditional separation from KC under P≠NP, and a biconditional characterization of P=NP via the relative variant γP.

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  • Witness Complexity of Short Descriptions: A Cryptographic Perspective cs.CR · 2026-06-30 · unverdicted · none · ref 3

    Introduces witness complexity γ(x) measuring expansion time of near-shortest descriptions, proving polynomial invariance, conditional separation from KC under P≠NP, and a biconditional characterization of P=NP via the relative variant γP.