Conformal Certification of Reasoning Trace Prefixes

Matt Y. Cheung, Ashok Veeraraghavan, Hanjie Chen, Guha Balakrishnan


Abstract
Language model reasoning traces are rarely all-or-nothing; they frequently contain valid intermediate steps before a critical error occurs. Existing uncertainty quantification methods typically certify final answers or entire responses, failing to provide statistical guarantees for the proportion of a sequential trace that can be safely retained. To address this, we introduce CROP (Conformal Reasoning Output Prefixes), a verifier-agnostic calibration procedure for clean-prefix certification. Given any step-level risk proxy, CROP selects a calibrated threshold and returns the longest contiguous prefix whose step risk proxies remain below it, routing the uncertified suffix for downstream review or repair. Assuming exchangeability, CROP rigorously controls the marginal probability that the returned prefix contains an annotated error. Across six process-labeled reasoning datasets, we demonstrate that standard step-level metrics such as AUROC do not fully capture prefix utility, suggesting verifiers should instead be evaluated by certified prefix length. Furthermore, CROP balances over- and under-withholding and improves downstream repair accuracy by preserving valid intermediate reasoning while discarding misleading suffixes. Ultimately, this work positions prefix certification as a rigorous, practical bridge between process supervision, abstention, and repair.
Anthology ID:
2026.emnlp-main.1776
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
40454–40481
Language:
URL:
https://aclanthology.org/2026.emnlp-main.1776/
DOI:
Bibkey:
Cite (ACL):
Matt Y. Cheung, Ashok Veeraraghavan, Hanjie Chen, and Guha Balakrishnan. 2026. Conformal Certification of Reasoning Trace Prefixes. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 40454–40481, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Conformal Certification of Reasoning Trace Prefixes (Cheung et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.1776.pdf