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docs(specs): land SPEC-0002 proof-carrying policy gates and godel prover certification - #5

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docs/spec-0002-goedel-prover-gate-certification
Oct 12, 2026
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todie merged 1 commit into
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docs/spec-0002-goedel-prover-gate-certification

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@todie todie commented Oct 12, 2026

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Summary

  • Lands SPEC-0002 detailing the formal Proof-Carrying Code (PCC) model for policy gates.
  • Formalizes state transition invariant preservation: $(I(S) \wedge \text{Exec}(S, a, S')) \implies I(S')$.
  • Defines the decoupling between out-of-band Gödel provers (e.g. Lean 4 / Z3) and the zero-I/O $O(1)$ AST proof-checking kernel in gs-domain.
  • Enforces permissions immutability and fail-closed lattice semantics.
  • Updates README to index SPEC-0002.

Verification

  • cargo fmt --all -- --check passed.
  • cargo clippy --workspace --all-targets -j 2 -- -D warnings passed.
  • cargo test --workspace -j 2 passed (7 tests in gs-domain).

Co-authored-by: Kratos kratos@yx.unsigned.gg
Reviewed-by: Mimir mimir@unsigned.gg

…ver certification

- Define Proof-Carrying Code (PCC) model for estate policy gates.
- Formalize state transition safety invariant proof I(S) => I(S').
- Specify out-of-band Goedel prover architecture and Lean 4 certificate generation.
- Establish O(1) AST proof-checker interface in gs-domain.
- Link SPEC-0002 in README.

Co-authored-by: Kratos <kratos@yx.unsigned.gg>
Reviewed-by: Mimir <mimir@unsigned.gg>
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todie merged commit ef55c6d into development Oct 12, 2026
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todie deleted the docs/spec-0002-goedel-prover-gate-certification branch October 12, 2026 18:27
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