This repository is intentionally certificate-only. As of tag chronos-certificates-frozen, the Chronos depth constants and related artifacts are frozen, cryptographically signed, and treated as canonical. The files chronos_constants.json and Chronos/Cert/ChronosDepthConstants.lean, together with their corresponding .minisig signatures, constitute the complete, verifiable Chronos certificate set. No Chronos theory is developed here: all mathematical definitions, transport lemmas (including the PSH → boundary-overlap conditional), and proofs live upstream in urf-core. Any modification to the frozen artifacts requires an explicit unfreeze decision, regeneration of signatures, and a new freeze tag.
This project relies on shared tooling and reproducibility infrastructure provided by the scientific-infrastructure repository; it contains domain-specific research code only.
The clause-transcript entropy approach to resolution lower bounds has been formally closed (see chronos-urf-rr).
Support-symmetric and linear entropy functionals cannot capture resolution hardness.
Active direction: Communication Information Complexity of Search_F.
See: chronos-urf-rr/manuscripts/communication_information_reduction chronos-urf-rr/manuscripts/tseitin_ic_lower_bound