| import OAI.Computability.WLIdentification.SeedLetter |
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| namespace OAI |
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| namespace WLIdentification |
| namespace FinitePresentation |
| open WordExpressions |
| attribute [local instance] Classical.propDecidable Classical.decEq |
| namespace MachineRealizer |
| open Machine |
| variable (M : Machine) (d : Word → ℕ) (dp : NatPoly (fun X : Fin 1 → Word => d (X 0))) |
| (hsize : ∀ w,inputSpan w<2^d w) |
| noncomputable abbrev pointP := CellularRealizer.pointP M.Letter |
| noncomputable abbrev edgeP := CellularRealizer.edgeP M.Letter d dp |
| noncomputable abbrev seedP := InitialRealizer.seedP d dp |
| abbrev TestLetter := {a : M.Letter // a.2=some 1} |
| noncomputable abbrev testP := Presented.fixed (TestLetter M) |
|
|
| noncomputable def circuit : CircuitRealizer (pointP M) (edgeP M d dp) (seedP d dp) (testP M) |
| (fun w => d w+d w) (NatPoly.add dp dp) (fun w => M.compiledCircuit (d w) w) where |
| pointIndex := CellularRealizer.pointIndex M.Letter |
| edgeIndex := CellularRealizer.edgeIndex M.Letter d dp |
| seedIndex := (Number.code (seedP d dp)).congr (by intro w x; rfl) |
| testIndex := Number.fixed _ (fun x : TestLetter M => NaturalCode.fixed M.Letter x.val) |
| dimension := CellularRealizer.dimension M.Letter |
| source := CellularRealizer.source M.Letter d dp |
| target := CellularRealizer.target M.Letter d dp M.localRule |
| port := CellularRealizer.port M.Letter d dp M.localRule |
| seedType := InitialRealizer.seedLetter M d dp hsize (fun a => NaturalCode.fixed (CellularCircuit.Gate M.Letter) (.scalar a)) |
| testType := Number.fixed _ (fun x : TestLetter M => NaturalCode.fixed (CellularCircuit.Gate M.Letter) (.scalar x.val)) |
| edgeDomain := (CellularRealizer.edgeMap M.Letter d dp).domain |
| seedDomain := ((ProductRealizer.singletonConstant (seedP d dp) d dp false false).concat (InitialRealizer.seedMap d dp)).domain |
| testDomain := ((ProductRealizer.singletonConstant (testP M) d dp true true).concat (ProductRealizer.identity (testP M) d dp)).domain |
| edgeMapping := (CellularRealizer.edgeMap M.Letter d dp).mapping |
| end MachineRealizer |
| end FinitePresentation |
|
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| end WLIdentification |
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| end OAI |
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