Independent Compressibility: The Verification Condition for Trustworthy Correction
Self-correction is in vogue. Every agent framework now includes a loop where the model reviews its own output, identifies mistakes, and tries again. The selling point is autonomy—the system learns from its errors without human intervention. But there’s a structural problem that no amount of iterative refinement solves: the correction artifact and the correction target share the same failure mode. When GPT-4 corrects GPT-4, and then writes an audit log explaining why it corrected itself, the audit log was generated by GPT-4. The hallucination distribution is identical. The blind spots are identical. The log says “I considered alternative X and rejected it because reasons”—but those reasons were generated by the same system that made the original error. ...