File size: 2,065 Bytes
92416a2 | 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 | import OAI.Computability.WLIdentification.SeedLetter
namespace OAI
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
end WLIdentification
end OAI
|