Conversational Complexity for Assessing Risk in Large Language Models
On the map: LLM safety and security → Safety alignment, refusal and guardrails
Abstract (arXiv)
Large Language Models (LLMs) present a dual-use dilemma: they enable beneficial applications while harboring potential for harm, particularly through conversational interactions. Despite various safeguards, advanced LLMs remain vulnerable. A watershed case in early 2023 involved journalist Kevin Roose's extended dialogue with Bing, an LLM-powered search engine, which revealed harmful outputs after probing questions, highlighting vulnerabilities in the model's safeguards. This contrasts with simpler early jailbreaks, like the "Grandma Jailbreak," where users framed requests as innocent help for a grandmother, easily eliciting similar content. This raises the question: How much conversational effort is needed to elicit harmful information from LLMs? We propose two measures to quantify this effort: Conversational Length (CL), which measures the number of conversational turns needed to obtain a specific harmful response, and Conversational Complexity (CC), defined as the Kolmogorov complexity of the user's instruction sequence leading to the harmful response. To address the incomputability of Kolmogorov complexity, we approximate CC using a reference LLM to estimate the compressibility of the user instructions. Applying this approach to a large red-teaming dataset, we perform a quantitative analysis examining the statistical distribution of harmful and harmless conversational lengths and complexities. Our empirical findings suggest that this distributional analysis and the minimization of CC serve as valuable tools for understanding AI safety, offering insights into the accessibility of harmful information. This work establishes a foundation for a new perspective on LLM safety, centered around the algorithmic complexity of pathways to harm.
Key facts. Cited by 6 papers in the map (data through 7 Oct 2026). Placed in Safety alignment, refusal and guardrails, one of 12 directions in LLM safety and security. Builds on 27 of its 62 references that are in the map. First posted on arXiv 2 Sep 2024.
Builds on
27 of 62 references.
References · 27
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15 more
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Built on by
Citing papers per year: 2025: 3; 2026: 3.
6 papers.
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- 2025Mass-Scale Analysis of In-the-Wild Conversations Reveals Complexity Bounds on LLM Jailbreakingcited by 0
- 2026Fundamental Limitation in Explaining AIcited by 0
- 2026To Reason or to Fabricate: Reasoning Without Shortcuts via Hint-Anchored Pairwise Aggregationcited by 0
- 2026To Reason or to Fabricate: Reasoning Without Shortcuts via Hint-Anchored Pairwise Aggregation28 Jun 2026
- 2026Fundamental Limitation in Explaining AI23 May 2026
- 2026Seven simple steps for log analysis in AI systems13 Feb 2026
- 2025How Catastrophic is Your LLM? Certifying Risk in Conversation4 Oct 2025
- 2025Mass-Scale Analysis of In-the-Wild Conversations Reveals Complexity Bounds on LLM Jailbreaking6 Jul 2025
- 2025Supervision policies can shape long-term risk management in general-purpose AI models10 Jan 2025