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Project-declaredLean 4.31.0 · null

Check Always Matches Opt eqv check Always Matches

Cedar.Thm.checkAlwaysMatchesOpt_eqv_checkAlwaysMatches

Plain-language statement

Full equivalence for checkAlwaysMatches and checkAlwaysMatchesOpt, including both the .ok and .error cases

Exact Lean statement

theorem checkAlwaysMatchesOpt_eqv_checkAlwaysMatches {p : Policy} {Γ : Validation.TypeEnv} :
  Γ.WellFormed →
  (do
    let cp ← CompiledPolicy.compile p Γ
    pure $ checkAlwaysMatchesOpt cp
  ) =
  (do
    let wp ← wellTypedPolicy p Γ |>.mapError .validationError
    pure $ checkAlwaysMatches wp (SymEnv.ofTypeEnv Γ)
  )

Formal artifact

Lean source

Canonical source
Full Lean sourceLean 4
theorem checkAlwaysMatchesOpt_eqv_checkAlwaysMatches {p : Policy} {Γ : Validation.TypeEnv} :  Γ.WellFormed   (do    let cp  CompiledPolicy.compile p Γ    pure $ checkAlwaysMatchesOpt cp  ) =  (do    let wp  wellTypedPolicy p Γ |>.mapError .validationError    pure $ checkAlwaysMatches wp (SymEnv.ofTypeEnv Γ)  ):= by  cases hcp : CompiledPolicy.compile p Γ  case ok cp =>    intro hwf    have wp, hwp, h := checkAlwaysMatchesOpt_eqv_checkAlwaysMatches_ok hwf hcp    simp [Except.mapError, hwp, h]  case error e =>    simp [Except.mapError]    cases hwp : wellTypedPolicy p Γ    case error e' =>      simp [CompiledPolicy.compile, Except.mapError, hwp] at hcp      simp [hcp]    case ok wp =>      intro hwf      have h := compile_ok_iff_welltypedpolicy_ok hwf (p := p)      simp [hcp, hwp, Except.isOk, Except.toBool] at h
Project
Cedar Specification
License
Apache-2.0
Commit
3f093947b8ae
Source
cedar-lean/Cedar/Thm/SymCC/Opt.lean:1160-1185

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Project-declaredLean 4.31.0

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authorizationprogram verificationsemantics

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Person-level attribution pending.

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Project-declaredLean 4.31.0

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authorizationprogram verificationsemantics

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Project-declaredLean 4.31.0

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Plain-language statement

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authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

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