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arXiv · 2507.23170

BAR Conjecture: the Feasibility of Inference Budget-Constrained LLM Services with Authenticity and Reasoning

Jinan Zhou·Rajat Ghosh·Vaishnavi Bhargava·Debojyoti Dutta·Aryan Singhal
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Abstract

When designing LLM services, practitioners care about three key properties: inference-time budget, factual authenticity, and reasoning capacity. However, our analysis shows that no model can simultaneously optimize for all three. We formally prove this trade-off and propose a principled framework named The BAR Theorem for LLM-application design.

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Jinan Zhou, Rajat Ghosh, Vaishnavi Bhargava, Debojyoti Dutta, Aryan Singhal. 2025-07-31. BAR Conjecture: the Feasibility of Inference Budget-Constrained LLM Services with Authenticity and Reasoning. https://arxiv.org/abs/2507.23170

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