Preprint
Machine Learning

GSM-Symbolic

October 1, 2024

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Venue

2024

Year

Abstract

Investigates the true mathematical reasoning capabilities of LLMs by introducing GSM-Symbolic, a new benchmark based on symbolic templates, revealing that LLMs exhibit inconsistent performance, struggle with complex questions, and appear to rely on pattern recognition rather than genuine logical reasoning.

Analysis

Why This Paper Matters

This paper addresses a critical gap in evaluating large language models (LLMs): the distinction between genuine mathematical reasoning and pattern recognition. As LLMs are increasingly deployed in domains requiring reliable logic (e.g., education, finance, science), understanding their true capabilities is paramount. The introduction of GSM-Symbolic provides a more rigorous benchmark than existing datasets like GSM8K, which may inadvertently allow models to exploit surface-level patterns. By revealing that LLMs falter on complex, multi-step problems and show inconsistent performance on similar questions, the paper underscores a fundamental limitation of current models. This has immediate implications for practitioners who rely on LLMs for tasks that demand robust reasoning, such as automated tutoring or code generation.

Technical Contributions

The key innovation is GSM-Symbolic, a benchmark that generates mathematical problems from symbolic templates. This approach ensures that problems are structurally varied yet semantically equivalent, allowing for controlled testing of reasoning consistency. The methodology contrasts with static datasets like GSM8K, where models may memorize answer patterns. By systematically varying problem complexity and structure, the authors can isolate whether LLMs are truly reasoning or pattern-matching. The benchmark also enables fine-grained analysis of failure modes, such as sensitivity to numerical values or syntactic variations.

Results

While the abstract does not provide specific metrics, it reports that LLMs exhibit inconsistent performance on similar problems and struggle with complex questions. This suggests that accuracy drops significantly when problems require multiple reasoning steps or involve unfamiliar numerical combinations. The results imply that current LLMs, despite high performance on standard benchmarks, lack robust logical reasoning and are brittle to superficial changes in problem presentation.

Significance

This research has broad implications for the AI field. It challenges the narrative that LLMs possess advanced reasoning abilities and highlights the need for more diagnostic benchmarks. For practitioners, it warns against over-trusting LLM outputs in high-stakes reasoning tasks. The GSM-Symbolic benchmark could become a standard evaluation tool, driving future research toward models that genuinely reason rather than pattern-match. Ultimately, this work contributes to a more realistic understanding of LLM capabilities and limitations, guiding safer and more effective deployment.