OAI/Combinatorics/EditApproximation/Refinement/ComputedCoarseControlSpace.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.EditApproximation.physicalCoarseControlEntry line 12
  2. theorem OAI.EditApproximation.physicalCoarseControlEntry_fits line 20
  3. theorem OAI.EditApproximation.computedFamilyCoarseControlCapacity_eq line 59

    Source documentation

    A 64-word control-frame allowance for every recursive invocation of every coarse cache miss, conservatively retained until termination.

    theorem computedFamilyCoarseControlCapacity_eq (source target : List ℕ) (N : ℕ)
        (input : ComputedFamilyInput source target N) :
        computedFamilyCoarseControlCapacity source target N input =
          ((computedFamilyResult source target N input).freshKeys.map
            (coarseHistoryKeyCost (fun _ => (N + 2) ^ 182))).sum :=
    …

    Mentions: OAI.EditApproximation.ComputedFamilyInput, OAI.EditApproximation.computedFamilyCoarseControlCapacity, OAI.EditApproximation.computedFamilyResult, OAI.EditApproximation.coarseHistoryKeyCost

  4. theorem OAI.EditApproximation.computedFamilyCoarseControlCapacity_bound line 66
  5. theorem OAI.EditApproximation.computedFamilyCoarseControlCapacity_polynomial line 73