ResearchResearch paperLarge Language Models · Reasoning & Planning · Training & Scaling1 source · Oct 18, 2026

TIRE: Top-Down Formula Instantiation with Reliable Execution for Physics Problem Synthesis

We introduce TIRE, a framework for Top-Down Formula Instantiation with Reliable Execution that brings knowledge-driven problem construction to large-scale data generation.

Key points

  • Advancing physics reasoning in large language models requires scalable training data that connect physical laws, concrete problem scenarios, and verifiable numerical answers.
  • LLM-based synthesis from texts scales efficiently, but model-generated answers and assessments leave supervision vulnerable to hallucinations.
  • Top-down instantiation uses reusable physical formulas and their applicability conditions to control the physical relations and numerical configurations of generated problems.
  • These results demonstrate the value of generating physics training data from explicit physical knowledge with reliable execution.

Sources (1)

  • [1]TIRE: Top-Down Formula Instantiation with Reliable Execution for Physics Problem Synthesis
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 18, 09:38 AM
    We introduce TIRE, a framework for Top-Down Formula Instantiation with Reliable Execution that brings knowledge-driven problem construction to large-scale data generation.
    Advancing physics reasoning in large language models requires scalable training data that connect physical laws, concrete problem scenarios, and verifiable numerical answers.

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