SIGNALAI·Jun 1, 2026, 4:00 AMSignal75Medium term

Compile to Compress: Boosting Formal Theorem Provers by Compiler Outputs

Source: arXiv cs.LG

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Compile to Compress: Boosting Formal Theorem Provers by Compiler Outputs

arXiv:2604.18587v2 Announce Type: replace Abstract: Large language models (LLMs) have demonstrated significant potential in formal theorem proving, yet state-of-the-art performance often necessitates prohibitive test-time compute via massive roll-outs or extended context windows. In this work, we address this scalability bottleneck by exploiting an informative structure in formal verification: the observation that compilers map a vast space of diverse proof attempts to a compact set of structured failure modes. We introduce a learning-to-refine framework that leverages this compression to perf

Why this matters
Why now

The increasing computational demands of LLMs in formal theorem proving necessitate more efficient methods to scale, making research into compiler optimizations timely.

Why it’s important

This work directly addresses the scalability bottleneck in applying large language models to complex formal verification tasks, a crucial step for robust AI systems.

What changes

A new framework for learning-to-refine based on compiler outputs provides a method to reduce the prohibitive test-time compute requirements for advanced theorem proving.

Winners
  • · AI developers
  • · Formal verification sector
  • · Safety-critical software industries
Losers
  • · Inefficient LLM-based theorem provers
Second-order effects
Direct

Reduced computational cost and improved efficiency for formal theorem proving tasks using LLMs.

Second

Accelerated development and adoption of AI-assisted formal verification in software and hardware design.

Third

Enhanced reliability and trustworthiness of complex AI systems and autonomous agents through more rigorous formal verification.

Editorial confidence: 90 / 100 · Structural impact: 60 / 100
Original report

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Read at arXiv cs.LG
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