{
  "id": 6305,
  "url": "https://arxiv.org/abs/2604.04876v1",
  "title": "Incompleteness of AI Safety Verification via Kolmogorov Complexity",
  "summary": "Ensuring that artificial intelligence (AI) systems satisfy formal safety and policy constraints is a central challenge in safety-critical domains. While limitations of verification are often attributed to combinatorial complexity and model expressiveness, we show that they arise from intrinsic information-theoretic limits. We formalize policy compliance as a verification problem over encoded system behaviors and analyze it using Kolmogorov complexity. We prove an incompleteness result: for any f",
  "authors": "Munawar Hasan",
  "category": "research",
  "topics": "regulation,safety-alignment",
  "orgs": null,
  "regions": null,
  "published_at": "2026-04-06T17:26:09.000Z",
  "fetched_at": "2026-07-14T16:32:24.290Z",
  "source_slug": "arxiv-ethics",
  "source_name": "arXiv",
  "source_homepage": "https://arxiv.org",
  "ethics_ai_record_url": "https://ethics.ai/record/6305",
  "original_url": "https://arxiv.org/abs/2604.04876v1",
  "evidence_status": "source-only",
  "attribution": "via ethics.ai"
}