Incompleteness of AI Safety Verification via Kolmogorov Complexity
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
Record details
Published: 6 April 2026
Source: arXiv
Category: Research
Topics: Regulation · Safety & alignment
Retrieved: 14 July 2026
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ethics.ai (6 April 2026), “Incompleteness of AI Safety Verification via Kolmogorov Complexity,” evidence record 6305, https://ethics.ai/record/6305 (originally published by arXiv).
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