File size: 2,289 Bytes
8825d61 4b88580 8825d61 4b88580 8825d61 4b88580 8825d61 4b88580 8825d61 4b88580 8825d61 4b88580 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 | {
"certificate_id": "CERT-HF-MODEL-R3-2026-08-31",
"version": "R3",
"issued": "2026-08-31T12:02:57Z",
"status": "CERTIFIED",
"lean4_proof_audit": {
"tier_a_zero_sorry": [
"DualScale.lean",
"Galerkin.lean",
"Leray.lean"
],
"tier_c_stub_sorry": [
"Frustration.lean",
"FrustrationMonotonicity.lean"
],
"total_sorry_count": 5,
"note": "FrustrationMonotonicity.lean contains 4 sorry: 1 H19 conjecture stub (tracked) + 3 in sorry-tagged monotonicity proof. frustration_index_ge_one is Tier A (proved via Finset.abs_sum_le_sum_abs). H1_zero_sorry is not globally satisfied pending H19 proof."
},
"lean4_theorems_verified_tier_a": [
"leray_idempotent (EuclideanSpace Rd, field_simp + ring)",
"leray_divergence_free (inner_sub_right, ring)",
"leray_proj_orthogonal_to_k",
"triadic_antisymmetry (linarith from antisymm field)",
"inviscid_energy_conservation (Finset.sum_comm pairing)",
"galerkin_energy_rate_zero",
"frustration_index_ge_one (Finset.abs_sum_le_sum_abs)"
],
"lean4_theorems_stub_tier_c": [
"frustration_monotonicity_conjecture (H19 \u2014 sorry-tagged, open research problem)"
],
"benchmark_dataset": "callensxavier/leanflow-jhtdb-benchmark",
"benchmark_R3": {
"grid": "64x64",
"dataset": "JHTDB isotropic1024coarse Re_lambda=433",
"n_snapshots": 5,
"max_divergence_leanflow": "2.99e-14",
"max_divergence_openfoam": "4.10e-7",
"orders_of_magnitude_advantage": 7,
"wall_clock_leanflow_s": 0.874,
"wall_clock_openfoam_s": 1.833,
"speedup_vs_openfoam": 2.1
},
"invariants_verified": {
"H1_zero_sorry_tier_a_modules": true,
"H1_global_zero_sorry": false,
"H1_note": "FrustrationMonotonicity.lean has H19 stub (sorry). Global H1 will be satisfied upon H19 proof.",
"H11_no_synthetic_results": true,
"H12_real_benchmark_mandate": true,
"H17_jhtdb_spectral_fidelity": true,
"H18_production_sla_n128": true,
"H19_frustration_monotonicity": "stub",
"H20_ai_preprocessing": true,
"H21_non_vacuous_lean4_proofs": true,
"H22_rust_test_coverage": true,
"H23_sla_grid_compliance_n128": true
},
"git_sha": "c099c11",
"paper_revision": "R3",
"audit_hash": "CERT-HF-MODEL-R3-69FCE7FD39CD68AB"
}
|