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A language modelM t generates candidate proofs in a formal lan- guage (e.g., Lean 4)

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NOVA: Fundamental Limits of Knowledge Discovery Through AI

cs.AI · 2026-05-12 · unverdicted · novelty 6.0

NOVA models the generate-verify-accumulate-retrain loop as adaptive sampling and proves that cumulative generation cost to obtain D genuine discoveries scales as Theta(c_gen D^alpha) under a Zipf tail-equivalence assumption with alpha greater than 1.

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  • NOVA: Fundamental Limits of Knowledge Discovery Through AI cs.AI · 2026-05-12 · unverdicted · none · ref 12

    NOVA models the generate-verify-accumulate-retrain loop as adaptive sampling and proves that cumulative generation cost to obtain D genuine discoveries scales as Theta(c_gen D^alpha) under a Zipf tail-equivalence assumption with alpha greater than 1.