Robust AI Security and Alignment: A Sisyphean Endeavor?

arXiv:2512.10100 · cs.AI · Submitted 2025-12-10 · Read on arXiv

cs.AI

Submitted: 2025-12-10

Updated: 2026-04-07

Comments: 17 pages, 1 figure. This version will appear in IEEE Security $ Privacy in June 2026

Journal ref: IEEE Security & Privacy, vol. 24, no. 3, pp. 52-58, May-June 2026

DOI: 10.1109/MSEC.2026.3678214

License: http://creativecommons.org/licenses/by/4.0/

The gist: This manuscript establishes information-theoretic limitations for robustness of AI security and alignment by extending Gödel's incompleteness theorem to AI.

Terminology

Abstract

This manuscript establishes information-theoretic limitations for robustness of AI security and alignment by extending Gödel's incompleteness theorem to AI. Knowing these limitations and preparing for the challenges they bring is critically important for the responsible adoption of the AI technology. Practical approaches to dealing with these challenges are provided as well. Broader implications for cognitive reasoning limitations of AI systems are also proven.

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