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refactor(wordram): state transport_inO plainly to complete the WordRAM S2 sweep (#456) #765

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Merged
SamuelSchlesinger merged 2 commits into from
Oct 24, 2026
Merged

refactor(wordram): state transport_inO plainly to complete the WordRAM S2 sweep (#456) #765

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1274b0b
refactor(wordram): state transport_inO plainly (#456)
SamuelSchlesinger Oct 24, 2026
ac5ddc2
chore(wordram): drop Native.lean from tidy surface baseline (#456)
SamuelSchlesinger Oct 24, 2026
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7 changes: 4 additions & 3 deletions Complexity/Computability/WordRAM/Native.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -9,6 +9,7 @@ module

public import Complexity.Computability.WordRAM.Generic
public import Complexity.Computability.GenericRAM.Simulation.Run
public import Complexity.Computability.Machines.Turing.MultiTape.Complexity.BigO.Plain
public import Complexity.Computability.Machines.Turing.MultiTape.Complexity.PolyTime.Nat.Binary
public import Complexity.Computability.Machines.Turing.MultiTape.Complexity.PolyTime.Pi
public import Complexity.Computability.Machines.Turing.MultiTape.Complexity.PolyTime.Option
Expand Down Expand Up @@ -395,7 +396,7 @@ def transportCertificate (enc : B.genericModel.Encoding) (N : B.genericModel.Nat
rw [hden a]
exact ⟨m, hm, executes_toGeneric_iff.mpr hex⟩

/-- Parameterized `ComputableTidilyInO` transport theorem from `WordRAM.Executes`. -/
/-- Parameterized `ComputableInO` transport theorem from `WordRAM.Executes`. -/
theorem transport_inO (enc : B.genericModel.Encoding) (N : B.genericModel.NativePrimitives enc)
(p : Program B r) {f : α → ℕ} {cfg : α → ℕ}
{initState : α → FiniteState B.genericModel r} {u : α → State r} {steps : α → ℕ}
Expand All @@ -404,12 +405,12 @@ theorem transport_inO (enc : B.genericModel.Encoding) (N : B.genericModel.Native
(cInit : NativeCertificate initState ei (FiniteState.encoding enc))
(hden : ∀ a, (initState a).denote = (u a).toGeneric B)
(hExec : ∀ a, ∃ m ≤ steps a, Executes (cfg a) p (u a) (f a) m) :
ComputableTidilyInO f ei enc.value
Turing.MultiTapeTM.ComputableInO f ei enc.value
(fun a => cSteps.time a + (cCfg.time a + cInit.time a) +
FiniteState.runTime enc N p.toGeneric (steps a, (cfg a, initState a)))
(fun a => cSteps.space a + (cCfg.space a + cInit.space a) +
FiniteState.runSpace enc N p.toGeneric (steps a, (cfg a, initState a))) :=
(transportCertificate enc N p cSteps cCfg cInit hden hExec).computes
.of_tidy (transportCertificate enc N p cSteps cCfg cInit hden hExec).computes

/-- Automatic `ComputableInPolyTime` transport corollary from `WordRAM.Executes`. -/
theorem transport_polyTime (enc : B.genericModel.Encoding)
Expand Down
4 changes: 2 additions & 2 deletions ComplexityTests/GenericRAMSimulation.lean
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Expand Up @@ -455,10 +455,10 @@ theorem wordDoubleProgram_executes (x : ℕ) :
obtain ⟨m, hm, hex⟩ := FiniteState.executes_of_run_eq_inr (wordDoubleProgram_run x)
exact ⟨m, hm, Cslib.WordRAM.executes_toGeneric_iff.mp hex⟩

/-- Whole-run `ComputableTidilyInO` bound transported from `wordDoubleProgram` via
/-- Whole-run `ComputableInO` bound transported from `wordDoubleProgram` via
`Cslib.WordRAM.transport_inO` and `Basis.standard.nativePrimitives`. -/
theorem wordDouble_inO :
ComputableTidilyInO (fun x : ℕ => x + x) encNat encNat
Turing.MultiTapeTM.ComputableInO (fun x : ℕ => x + x) encNat encNat
(fun x => wordDoubleStepsCert.time x +
(wordDoubleWidthCert.time x + wordDoubleInitCert.time x) +
FiniteState.runTime Cslib.WordRAM.Basis.standard.encoding
Expand Down
1 change: 0 additions & 1 deletion scripts/tidy_surface_baseline.json
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Expand Up @@ -335,7 +335,6 @@
"Complexity/Computability/TreeEval/Space.lean": 2,
"Complexity/Computability/USTCON/Reader/Cert.lean": 3,
"Complexity/Computability/USTCON/Space.lean": 1,
"Complexity/Computability/WordRAM/Native.lean": 1,
"Complexity/Crypto/Computational/Basic.lean": 1,
"Complexity/Crypto/Computational/Commitment.lean": 13,
"Complexity/Crypto/Computational/Encryption/PolyTime.lean": 2,
Expand Down
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