English

When LLMs Stop Following Steps: A Diagnostic Study of Procedural Execution in Language Models

Computation and Language 2026-05-26 v3

Abstract

Large language models (LLMs) often achieve strong performance on reasoning benchmarks, but final-answer accuracy alone does not show whether they faithfully execute the procedure specified in a prompt. We introduce a controlled diagnostic benchmark for procedural execution, where models are given a step-wise arithmetic procedure and two numeric inputs, and must return the final computed value. Complexity is varied through procedure length and look-back dependencies over intermediate variables. Average first-answer accuracy drops from 63% on 5-step procedures to 20% on 95-step procedures. Generation-level analysis shows that failures often involve missing answers, premature answers, self-correction after an initial error and under-executed traces. These findings suggest that apparent reasoning ability can mask substantial weaknesses in faithful long-horizon procedural execution.

Keywords

Cite

@article{arxiv.2605.00817,
  title  = {When LLMs Stop Following Steps: A Diagnostic Study of Procedural Execution in Language Models},
  author = {Sailesh Panda and Pritam Kadasi and Abhishek Upperwal and Mayank Singh},
  journal= {arXiv preprint arXiv:2605.00817},
  year   = {2026}
}

Comments

86 pages, 124 figures, 4 Tables

R2 v1 2026-07-01T12:45:32.003Z