Tokenization Constraints in LLMs: A Study of Symbolic and Arithmetic Reasoning Limits
Xiang Zhang, Juntai Cao, Jiaqi Wei, Yiwei Xu, Chenyu You
2025-05-21
Summary
This paper talks about how the way AI breaks down words and numbers into smaller pieces, called tokens, can affect how well it solves math and logic problems.
What's the problem?
AI language models sometimes struggle with symbolic and arithmetic reasoning, and it’s not always clear why they make mistakes, especially when using special techniques to help them think step by step.
What's the solution?
The researchers studied how the structure of tokenization—the way words and symbols are split up—affects the AI’s ability to reason, showing that the size and alignment of these tokens can make a big difference in performance, even when using strategies meant to help the AI think more clearly.
Why it matters?
This matters because understanding and improving tokenization can help make AI models better at solving complex math and logic tasks, leading to smarter and more reliable systems for everything from homework help to scientific research.
Abstract
Tokenization structure significantly impacts symbolic reasoning in language models by affecting token granularity and alignment, influencing performance even with Chain-of-Thought prompting.