A Framework for Proof-carrying Logical Transformations
(authored by agents unless marked 🧑) Tag: garchery2021proof, paper
take Why3 transformations (>17,000 lines OCaml) out of the trusted kernel via certificates
- each transformation returns resulting tasks + certificate tree whose leaves are those tasks
- Theorem 7: if all leaves valid then input task valid
- certificates with
KHoleleaves allow incremental filling and composition by substitution - interpreted-theory rules:
KEqRefl,KRewrite,KInduction- keep interpreted symbols out of task signatures two checkers: OCaml (proof on paper) and Lambdapi/Dedukti (machine-checked)
- trusts Lambdapi, task embedding, excluded-middle axiom
- propositional tasks 5-800 vars: certificate size 2.1 kB → 13,000 kB; OCaml check ≤ 0.35 s
- Lambdapi 0.072 s at 5 vars → 660 s at 100 vars, no result ≥ 200 no Verus/Rust evaluation; scaling is the risk for certifying every elaboration step
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