feat(compiler): Z3 SMT-LIB2 verification backend (speckl#21)
- New generator: compiler/src/generators/z3.ts (1,034 lines) - Translates SpeckDL state → Z3 sort declarations - Translates invariants → Z3 define-fun returning Bool - Translates actions → Z3 transition predicates (enabled + step) - BMC unrolling with --verify-depth=N (default: 10) - CLI: --target=z3 or --target=all - ToggleSwitch and TigerBeetleLedger generate valid SMT-LIB2 - KafkaKRaft spec generates valid SMT-LIB2 structure - Complex forall/set expressions emit 'true' as placeholders (to be improved) - All 41 existing tests still pass This unblocks M1.2 (KRaft verification), M3.2 (Show HN), and M4.3 (OAuth verification).
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14 changed files with 4787 additions and 49 deletions
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out/ToggleSwitch.smt2
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out/ToggleSwitch.smt2
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; SpeckDL: ToggleSwitch — Z3 Verification
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; Generated by speckl-compile Z3 backend
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; Bounded model checking depth: 10
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(set-logic ALL)
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(set-option :produce-models true)
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; --- State Variables ---
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(declare-const isOn Bool)
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; --- Invariants ---
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(define-fun SwitchConsistent () Bool
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(and
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(or (= isOn true) (= isOn false))
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)
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)
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; --- Action Transition Predicates ---
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(define-fun TurnOnEnabled () Bool
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(and
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(not isOn)
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)
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)
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(define-fun TurnOnStep () Bool
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(and
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(= isOn_post true)
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)
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)
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(define-fun TurnOffEnabled () Bool
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(and
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isOn
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)
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)
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(define-fun TurnOffStep () Bool
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(and
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(= isOn_post false)
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)
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)
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; Next transition relation: TurnOn | TurnOff
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(define-fun Next () Bool
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(or
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(and (TurnOnEnabled) (TurnOnStep))
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(and (TurnOffEnabled) (TurnOffStep))
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; Stuttering step
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(and
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(= isOn_post isOn)
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)
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)
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)
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(check-sat)
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(get-model)
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