OAI/Combinatorics/EditApproximation/Refinement/ComputedCoarseReadBudget.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.EditApproximation.computedCoarseReadBudget line 11

    Source documentation

    Every descriptor, stored-symbol comparison and frame operation used by a computed coarse root has a uniform fixed-power bit budget.

    theorem computedCoarseReadBudget :
        ∀ᶠ N : ℕ in atTop, ∀ B d : ℕ, ∀ x y : List ℕ,
          B = (integerParameters N).B → d = computedCoarseDepth N (coarseEntryWidth x y) →
          coarseEntryWidth x y ≤ N → (∀ a ∈ x ++ y, Nat.size a ≤ inputHeight N ^ 3) →
          ∀ i : CoarseGuessIndex (coarseEntryWidth x y),
          CoarseReadBudget B d (coarseGuess (coarseEntryWidth x y) i) (coarseEntryWidth x y)
            x y (inputHeight N ^ 30) := by
    …

    Mentions: OAI.EditApproximation.integerParameters, OAI.EditApproximation.computedCoarseDepth, OAI.EditApproximation.coarseEntryWidth, OAI.EditApproximation.inputHeight, OAI.EditApproximation.CoarseGuessIndex, OAI.EditApproximation.CoarseReadBudget, OAI.EditApproximation.coarseGuess