TFPT scientific source excerpt
Original repository path: verification/v1030_alg2_sector_frame.py
Original file SHA-256: a51fdbb734ead5d27f4120806c81ad46e7386874d5d6cb7a87a3aac2f4009fa5
Inclusive original lines: 110-137
Line numbers below refer to the original source.
This bounded excerpt is source evidence; it is not a new proof/checker run.
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000110 | def run() -> int:
000111 |     reset()
000112 |     print("v1030 -- finite sector connectivity and conditional joint-adjoint frame bridge")
000113 |     sector_connectivity_certificate()
000114 |     frame_and_cutoff_firewalls()
000115 |     dimension, word_bound, sigma, epsilon = sp.symbols(
000116 |         "D M sigma epsilon", positive=True
000117 |     )
000118 |     report = {
000119 |         "conditional_uniform_section_bound": str(
000120 |             uniform_section_bound(dimension, word_bound, sigma)
000121 |         ),
000122 |         "joint_adjoint_map": "L_N(y)=(P_F y P_E, P_F y* P_E), real-linear",
000123 |         "required_tail_data": ["x", "x*", "y", "y*"],
000124 |         "conditional_one_sided_error_bound": str(3*epsilon),
000125 |         "claim_boundary": {
000126 |             "proved": ["finite connected-sector generation criterion",
000127 |                        "conditional non-collapsing-frame norm estimate",
000128 |                        "parity, compression, conditioning and escape firewalls"],
000129 |             "not_proved": ["microscopic neutral block generation",
000130 |                            "nonzero charged corners in the TFPT collar",
000131 |                            "uniform local word bounds and joint y/y* frame",
000132 |                            "high-output tails", "FE-GEN, ALG-EXH, T2 or TOE"],
000133 |         },
000134 |     }
000135 |     print(json.dumps(report, indent=2, sort_keys=True))
000136 |     print("VERDICT: CONDITIONAL_SECTOR_AND_FRAME_LEMMAS_PROVED; MICROSCOPIC_FE_GEN_AND_ALG2_OPEN")
000137 |     return summary("v1030 ALG2 sector frame")