What question did this study set out to answer?

To develop and evaluate a lifecycle-aware replay methodology for proof-carrying formal software across multiple proof assistants and evolving environment states.

August 16, 2026Open Access

Lifecycle-Aware Replay for Proof-Carrying Formal Software: Contract-Indexed Verdicts, Temporal Test Semantics, and Cross-Backend Evidence Preservation

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To develop and evaluate a lifecycle-aware replay methodology for proof-carrying formal software across multiple proof assistants and evolving environment states.
Constructed a versioned contract model that decouples raw test outcomes from lifecycle-oracle verdicts and locks toolchain environments (Lean 4.19.0/Lake 5.0.0 and Coq 8.18.0/OCaml 4.14.1).
Evaluated an immutable release containing Python validators, Lean and Coq proof components, and a 36-record theorem inventory (T121-T156) across two author-operated replay cycles.
Initial replay (R1, K1) returned FAIL due to missing Lean/Lake environments and post-release assertions, whereas updated lifecycle governance (R2, K2) achieved PASS by satisfying the oracle and both formal proof backends.
Revalidated 30 upstream canonical statement hashes and applied v0.5.4 normalization across six Phase 1 theorem statements within a paired 36-record inventory.

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Implication

Methodological study demonstrates lifecycle-aware replay for multi-backend formal software, highlighting non-retroactive evidence governance across interactive theorem provers.

Cite This Study

Panasenko (2026) studied this question.

synapsesocial.com/papers/6a817ab4f2fb91fc834aec5e https://doi.org/10.5281/zenodo.21956856

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Implication

Methodological study demonstrates lifecycle-aware replay for multi-backend formal software, highlighting non-retroactive evidence governance across interactive theorem provers.

Lifecycle-Aware Replay for Proof-Carrying Formal Software: Contract-Indexed Verdicts, Temporal Test Semantics, and Cross-Backend Evidence Preservation

Key Points

Discussion

Implication

Cite This Study

Lifecycle-Aware Replay for Proof-Carrying Formal Software: Contract-Indexed Verdicts, Temporal Test Semantics, and Cross-Backend Evidence Preservation

Key Points

Discussion

Implication

Cite This Study

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