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Avoiding Obfuscation with Prover-Estimator Debate (2506.13609v1)

Published 16 Jun 2025 in cs.AI, cs.CC, and cs.DS

Abstract: Training powerful AI systems to exhibit desired behaviors hinges on the ability to provide accurate human supervision on increasingly complex tasks. A promising approach to this problem is to amplify human judgement by leveraging the power of two competing AIs in a debate about the correct solution to a given problem. Prior theoretical work has provided a complexity-theoretic formalization of AI debate, and posed the problem of designing protocols for AI debate that guarantee the correctness of human judgements for as complex a class of problems as possible. Recursive debates, in which debaters decompose a complex problem into simpler subproblems, hold promise for growing the class of problems that can be accurately judged in a debate. However, existing protocols for recursive debate run into the obfuscated arguments problem: a dishonest debater can use a computationally efficient strategy that forces an honest opponent to solve a computationally intractable problem to win. We mitigate this problem with a new recursive debate protocol that, under certain stability assumptions, ensures that an honest debater can win with a strategy requiring computational efficiency comparable to their opponent.

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Authors (3)
  1. Jonah Brown-Cohen (11 papers)
  2. Geoffrey Irving (31 papers)
  3. Georgios Piliouras (130 papers)

Summary

A Formal Approach to Mitigating Obfuscated Arguments in AI Debate Protocols

The paper "Avoiding Obfuscation with Prover-Estimator Debate" investigates a critical issue in the training of advanced AI systems: ensuring accurate human supervision in evaluating complex tasks when the inherent opacity and computational power of AI systems can outstrip human capabilities. It offers a theoretical framework and practical mechanisms to tackle the obfuscated arguments problem in AI debate protocols, presenting a novel approach termed "prover-estimator debate."

Context and Background

The increasing complexity of tasks managed by AI systems necessitates scalable oversight mechanisms that enhance human judgment through AI's computational capabilities. Traditional debate protocols involve two AIs discussing a problem's solution until a human adjudicator makes a decision based on the AI arguments. However, obfuscation in recursive debates arises when a dishonest AI decomposes a solvable problem into challenging subproblems that an honest counterpart cannot efficiently refute, potentially misleading oversight outcomes.

Prior work offered foundational structures for AI debates using complexity theory but did not effectively address the obfuscation issue. In contrast, the prover-estimator model seeks to retain the efficiency of these debates while mitigating the problem, demanding that debates remain structured in stable layers where human adjudicators can consistently trace subproblem relationships and probabilities.

Prover-Estimator Debate Protocol

The prover-estimator debate introduces a system where one AI (the prover) outlines subclaims related to a main claim or task, while the opposing AI (the estimator) assigns probabilities to the credibility of each subclaim. The prover selects a subclaim to contest based on these probabilities, compelling the estimator to substantiate its probability estimates.

Key Features:

  1. Recursive Stability: The protocol ensures that the honest proving of decompositions requires computational efficiency analogous to the involved subclaims. This mitigates the risk of obfuscation by maintaining that errors in subclaims do not cause disproportionate instability in broader claims.
  2. Consistency in Debaters' Arguments: Each AI is incentivized to offer probabilities reflecting knowledge and logical reasoning rather than obscure debate, ensuring estimates are computationally indistinguishable from true values under established conditions.
  3. Scalable Oversight: This configuration supports a layered debate structure where a human adjudicator can focus on specific subclaims, comparing estimates with human-judged accuracy to ensure alignment with the AI's broader task interpretation.

Implications and Future Directions

The prover-estimator debate mechanism advances theoretical groundwork vital for developing aligned and trustworthy AI systems. It highlights how stability and computational efficiency can be integrated into protocols to reliably amplify human oversight in complex tasks.

This protocol encourages future research in combining AI debate attributes with other scalable oversight approaches, such as Bayesian estimation or recursive reward modeling. Moreover, empirical validation and adaptation of such protocols into real-world settings for complex AI interactions remain open areas, aiming to operationalize the theoretical assurances in diverse computational and task environments.

Conclusion

Overall, the innovations detailed in "Avoiding Obfuscation with Prover-Estimator Debate" provide a rigorous response to focal integrity challenges in AI oversight, ensuring AI systems develop not only significant computational power but also reliability and alignment with intended human values. The introduction of justified probability in recursive debates, alongside the pursuit of stability, paves the way for smarter, safer AI developments that stand to benefit human judgment efficiency and decision-making in an increasingly AI-driven future.