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Stable Agentic Control: Tool-Mediated LLM Architecture for Autonomous Cyber Defense

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This paper presents a tool-mediated LLM architecture that uses deterministic tools (Stackelberg best-response, Bayesian observer updates, attack-graph primitives) and finite action catalogs to provide formal guarantees for autonomous cyber defense. A composite Lyapunov function machine-checked in Lean 4 certifies controllability, observability, and Input-to-State Stability (ISS) robustness. Experiments on 282 real enterprise attack graphs validate the claims, and a tool-mediated Claude Sonnet 4 controller reduces attacker expected payoff by 59%.

SourcearXiv AIAuthor: Kerri Prinos, Lilianne Brush, Cameron Denton, Zhanqi Wang, Joshua Knox, Snehal Antani, Anton Foltz, Amy Villase\~nor
Stable Agentic Control: Tool-Mediated LLM Architecture for Autonomous Cyber Defense
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[2605.03034] Stable Agentic Control: Tool-Mediated LLM Architecture for Autonomous Cyber Defense

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Computer Science > Artificial Intelligence

arXiv:2605.03034 (cs)

[Submitted on 4 May 2026]

Title:Stable Agentic Control: Tool-Mediated LLM Architecture for Autonomous Cyber Defense

Authors:Kerri Prinos, Lilianne Brush, Cameron Denton, Zhanqi Wang, Joshua Knox, Snehal Antani, Anton Foltz, Amy Villaseñor

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Abstract:Agentic systems involved in high-stake decision-making under adversarial pressure need formal guarantees not offered by existing approaches. Motivated by the operational needs of security operations centers (SOCs) that must configure endpoint detection and response (EDR) policies under adversarial pressure, we present a tool-mediated architecture: LLM agents use deterministic tools (Stackelberg best-response, Bayesian observer updates, attack-graph primitives) and select from finite action catalogs enforced at the tool-output interface. A composite Lyapunov function machine-checked in Lean 4 with zero sorry certifies controllability, observability from asymmetric sensor data, and Input-to-State Stability (ISS) robustness under intelligent adversarial disturbance, with two corollaries extending the certificate to any controller or adversary from the catalogs. On 282 real enterprise attack graphs, the claims hold with margin. On paired offensive/defensive telemetry, a tool-mediated Claude Sonnet 4 controller reduces the attacker's expected payoff (game value) by 59% relative to a deterministic greedy baseline, with zero variance across 40 runs at four temperatures. A Claude Haiku 4.5 controller converges to suboptimal game values but stays catalog-bounded over an additional 40 runs, demonstrating that architectural stability is not dependent on the controller capability. The LLM agent's non-determinism furthers creative exploration of strategies, while the tool-mediated architecture ensures system stability.

Comments: 23 pages total (9 main paper + 16 appendices/references), 2 figures

Subjects:

Artificial Intelligence (cs.AI); Cryptography and Security (cs.CR); Systems and Control (eess.SY)

Cite as: arXiv:2605.03034 [cs.AI]

(or arXiv:2605.03034v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2605.03034

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arXiv-issued DOI via DataCite (pending registration)

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From: Kerri Prinos [view email] [v1] Mon, 4 May 2026 18:02:59 UTC (93 KB)

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Key points

  • Proposes a tool-mediated LLM architecture with deterministic tools and finite action catalogs for formal stability guarantees.
  • Uses a machine-checked composite Lyapunov function in Lean 4 to certify controllability, observability, and ISS robustness.
  • Validated on 282 real enterprise attack graphs; a tool-mediated Claude Sonnet 4 controller reduces attacker expected payoff by 59% with zero variance.

Highlights and analysis are generated automatically and may contain errors. Check the original source.

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