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| "lemma_G1_holds": true, | |
| "perf_gap": 0.0, | |
| "perf_gap_le_eps": true, | |
| "rrm_fixed_point_gap": 0.0, | |
| "vi_gap": 0.0, | |
| "vi_gap_le_eps_prime": true | |
| }, | |
| { | |
| "d": 20, | |
| "eps": 0.001, | |
| "lemma_G1_bound_sqrt_eps_over_alpha": 0.03162277660168379, | |
| "lemma_G1_holds": true, | |
| "perf_gap": 0.0, | |
| "perf_gap_le_eps": true, | |
| "rrm_fixed_point_gap": 0.0, | |
| "vi_gap": 0.0, | |
| "vi_gap_le_eps_prime": true | |
| }, | |
| { | |
| "d": 20, | |
| "eps": 0.001, | |
| "lemma_G1_bound_sqrt_eps_over_alpha": 0.03162277660168379, | |
| "lemma_G1_holds": true, | |
| "perf_gap": 0.0, | |
| "perf_gap_le_eps": true, | |
| "rrm_fixed_point_gap": 0.0, | |
| "vi_gap": 1.107984469422731e-17, | |
| "vi_gap_le_eps_prime": true | |
| }, | |
| { | |
| "d": 20, | |
| "eps": 0.001, | |
| "lemma_G1_bound_sqrt_eps_over_alpha": 0.03162277660168379, | |
| "lemma_G1_holds": true, | |
| "perf_gap": 0.0, | |
| "perf_gap_le_eps": true, | |
| "rrm_fixed_point_gap": 0.0, | |
| "vi_gap": 0.0, | |
| "vi_gap_le_eps_prime": true | |
| } | |
| ], | |
| "symbolic": { | |
| "equals_c_times_F": true, | |
| "grad_simplifies_to": "c*(a*xstar + b)", | |
| "solve_c_for_eps_prime_target": "[epsilon/epsilon_prime]" | |
| }, | |
| "verdict": { | |
| "constant_arithmetic_correct": true, | |
| "note": "PPAD-hardness itself is inherited from Lemma 3.3 (Bernasconi et al. 2024) and is not executable; what is verified here is that the reduction of Theorem 3.4 is solution-preserving in both directions with the stated rho bound.", | |
| "reduction_correct": true | |
| } | |
| } |
Xet Storage Details
- Size:
- 17.3 kB
- Xet hash:
- 433c7c44b6d91310331444b19d29b5d9f8a8dcd86b1264f156cee73c45d902ff
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