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Mitigating Legibility Tax in AI: Decoupled Prover-Verifier Games Offer Route to Verifiable Outputs

A new arXiv paper introduces Decoupled Prover-Verifier Games (DPVG) to solve the legibility tax—accuracy degradation when making AI outputs easy to verify. The method trains a separate translator model that converts a solver's correct solution into a checkable form, achieving faithful verification without sacrificing accuracy.

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iGEN Editorial
July 8, 2026
Mitigating Legibility Tax in AI: Decoupled Prover-Verifier Games Offer Route to Verifiable Outputs

Enterprise technology leaders deploying large language models (LLMs) in critical workflows face a fundamental tension: the models must be both accurate and easily auditable by less capable systems. A new research paper on arXiv, authored by Kim, Yegon, Lee, and Juho, identifies this trade-off as the 'legibility tax' and proposes a method to eliminate it through a Decoupled Prover-Verifier Game (DPVG).

The Legibility Tax

Prover-verifier games have been used to improve the checkability of model outputs. In such games, a 'prover' model generates solutions while a 'verifier' model evaluates how easily those solutions can be checked. The goal is to produce outputs that a less capable system can reliably validate. However, according to the paper, this approach suffers from a 'degradation in accuracy compared to a baseline trained only to maximize correctness'—a phenomenon termed the legibility tax. For enterprise use cases like automated trade documentation or customs classification, even a small drop in accuracy can cascade into compliance errors or operational delays.

Decoupling Correctness from Checkability

The researchers propose a decoupled architecture that separates the two objectives. Instead of training a single model to simultaneously maximize correctness and checkability, they train a separate 'translator' model. The translator takes the output of a fixed 'solver' model (optimized purely for correctness) and converts it into a checkable form while retaining the solver's answer. This way, the solver never compromises accuracy, and the translator focuses solely on making the output legible.

As described in the paper, the team 'formulate a decoupled prover-verifier game (DPVG) where the equilibria correspond to faithful and checkable translators.' The key insight is that the translator does not alter the underlying answer—it only reformats or explains the reasoning so that a verifier can confirm correctness without relying on the solver's internal logic.

Approach Accuracy Impact Checkability Key Concept
Standard Prover-Verifier Game Legibility tax (degraded accuracy) High Single model balances both objectives
Decoupled Prover-Verifier Game (DPVG) No degradation (solver is frozen) High via translator Solver and translator are separate

Implications for Enterprise AI

For CTOs and technology leaders evaluating AI for supply chain automation, trade finance, or customs tech, the DPVG approach addresses a critical barrier to adoption. In regulated environments, outputs must be explainable and verifiable by third-party systems or human auditors—without sacrificing the performance gains that justify AI investment. While the paper is theoretical and does not provide empirical results, its conceptual framework offers a path forward: decouple the 'what' (correct answer) from the 'how' (verifiable explanation).

As LLMs become embedded in logistics platforms and trade documentation workflows, the ability to maintain accuracy while enabling automated verification becomes a competitive differentiator. The DPVG methodology, grounded in game theory and cryptography, suggests that enterprises may not have to choose between performance and transparency. Instead, they can deploy a two-model architecture where correctness is preserved and checkability is a separate, optimizable function.

Organizations like standards bodies and regulatory compliance systems could adopt similar decoupled designs to ensure AI outputs meet audit requirements without penalizing accuracy. The paper notes that the methodology accommodates 'faithful and checkable translators,' which is precisely the requirement for trusted AI in global trade—where a misclassification or error can result in costly delays or penalties.

The research, available on arXiv under a Creative Commons license, represents a conceptual advance in AI safety. For enterprise decision-makers, it signals that solutions to the legibility tax are within reach, potentially enabling safer, more deployable AI in high-stakes commercial environments.


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