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e63eb7f | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 | import OAI.Combinatorics.EditApproximation.Queries.QueryPhysicalProgram
import OAI.Combinatorics.EditApproximation.Queries.QueryFamilyScalarReads
namespace OAI
/-! The charged local refinement uses the independent source
family, with computed scalar guards and pass/copy addresses. -/
namespace EditApproximation
section Family
variable {α : Type*} {M J R : ℕ} [NeZero M] (source target : List α)
(N P F exponent H Q eM eF : ℕ) (hP : 0 < P) (hM : M = 2 ^ eM) (hF : F = 2 ^ eF)
(tau a eta kappa delta : BinaryFraction) (passes copies pass copy T S t : ℕ) (ht : 0 < t)
(node : PhysicalNode M J) (hbelow : node.1.val < J) (time : Fin R)
(q : TargetInterval target.length)
def queryFamilyRefinement :
BitQuery (Sum (PhysicalFamilyScalarKey (M := M) (J := J) (R := R)
target N P F exponent H Q passes copies)
{child : PhysicalTableRequest M J target.length // child.combinedRank T S <
(PhysicalTableRequest.refinement pass copy node T t q).combinedRank T S}) BinaryFraction :=
queryPhysicalRandomDataRequest source target N P F exponent H Q eM eF hP hM hF
tau a eta kappa delta copies pass copy T S t ht node hbelow
(queryFamilyGroupRead target N P F exponent H Q passes copies pass copy ⟨node, hbelow⟩ time)
(queryFamilyOnlineRead target N P F exponent H Q passes copies pass copy ⟨node, hbelow⟩ time) q
theorem queryFamilyRefinement_refines :
BitQuery.Refines (fun word value => word.value = value)
(queryFamilyRefinement source target N P F exponent H Q eM eF hP hM hF tau a eta kappa delta
passes copies pass copy T S t ht node hbelow time q)
(physicalRandomDataRequestQuery source target N P F exponent H Q tau.value a.value eta.value
kappa.value delta.value pass copy T S t ht node hbelow
(physicalFamilyGroupRead target N P F exponent H Q passes copies pass copy ⟨node, hbelow⟩ time)
(physicalFamilyOnlineRead target N P F exponent H Q passes copies pass copy ⟨node, hbelow⟩ time) q) := by
apply queryPhysicalRandomDataRequest_refines
· intro key
exact queryFamilyGroupRead_refines target N P F exponent H Q passes copies pass copy _ time key
· intro key range
exact queryFamilyOnlineRead_refines target N P F exponent H Q passes copies pass copy _ time key range
end Family
end EditApproximation
end OAI
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