REVIEW 4 major objections 6 minor 37 references
This paper argues that large reasoning models, which look excellent on static benchmarks, can lose up to 60% accuracy when interrupted or when the problem changes while they are thinking.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
T0 review · deepseek-v4-flash
2026-08-04 10:03 UTC pith:MDV73Y2D
load-bearing objection A genuinely new dynamic-evaluation suite for reasoning models, with named failure modes that replicate the right worries; the headline drop is real but the update-driven magnitudes lean on unvalidated data and an unvalidated classifier. the 4 major comments →
Are Large Reasoning Models Interruptible?
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The central discovery is that today's reasoning models are only superficially robust to being interrupted. When a hard stop is forced, they behave approximately like anytime algorithms—later interrupts yield better answers—but the answer segment can absorb the unfinished reasoning, sometimes growing ten times longer and hiding real compute. When asked to speed up, models can panic and shut down reasoning almost immediately, producing significantly worse answers on hard tasks. When the problem itself changes mid-reasoning, especially late, accuracy drops by up to 60%, and about 80% of the mistakes under updates are classified as self-doubt: the model questions the new information and keeps so
What carries the argument
The machinery is a two-stage inference protocol. The model first produces a reasoning trace r up to a chosen point X, measured as a fraction of the full trace; then interruption tokens i are inserted and the model is asked to continue and produce an answer. The paper defines the interruption-conditioned accuracy A_i(X) = Pr[a' = a* | X,i], where a* is the ground truth for the (possibly updated) problem, and the notion of a necessary update: an update for which a*(q) ≠ a*(q,u). This controlled setup is what lets the authors vary the timing of an interruption, the form of the interrupt signal (end-thinking, force-answer, speedup, or a mid-reasoning update), and the resulting answer length, and
Load-bearing premise
The paper's central claim rests on the data-quality premise that every manually verified update really is necessary—the corrected problem genuinely has a different right answer—and unambiguous; if a substantial share of updates are malformed or not actually answer-changing, the measured accuracy drops would not cleanly measure failed adaptation.
What would settle it
Use exact solvers or verifiers to check each problem in the public update dataset: for every 'necessary update,' confirm a*(q) ≠ a*(q,u) by solving both versions independently. If many updates do not change the ground truth, or if injecting updates that are known not to change the answer produces the same late-stage accuracy collapse, then the 60% drop is an artifact of the update set rather than evidence that models cannot adapt.
If this is right
- Static evaluation scores should be treated as upper bounds for interactive use; a model that looks excellent on a benchmark may still be unsafe to deploy where users interrupt or edit the task.
- Any 'thinking vs. accuracy' analysis that ignores the answer region undercounts compute, because interrupted models can leak a long chain of thought into the answer; measuring total output length changes the efficiency comparison.
- Speedup prompts on hard tasks can backfire: instead of compressing reasoning, models sometimes abandon it and return wrong answers, with accuracy drops of up to 30% on challenging problems.
- The timing of new information is a first-order variable: late updates cost up to 60% accuracy, so systems that inject updates late into a long-running reasoning trace should expect sharp degradation.
- Prompt-level reassurance that an update is verified partially recovers accuracy on easier math but not on harder math or coding, so interface tricks are not a substitute for making models update-tolerant.
Where Pith is reading between the lines
- If the paper is right, efficiency studies that report only token counts inside explicit thinking blocks are mismeasuring cost; a re-run that counts answer-region tokens after early interrupts would likely change which models look efficient.
- A concrete system-level extension: rather than injecting updates into a running trace, a serving layer could pause the generation, summarize the trace, and restart with an explicit 'earlier trace may be stale' flag; the paper's prompt-guidance results suggest much of the damage is at the interface level, so this is testable without retraining.
- The self-doubt trope invites a training-side hypothesis: if models were rewarded for emitting an explicit 'assumption changed' signal and then recomputing, the late-update accuracy cliff should shrink; measuring that gap before and after such an intervention would test the causal story behind the 60% drop.
- Because the experiments cover math and coding with single clean updates, the three failure modes may manifest differently in conversational or tool-using agents; building update-driven versions of open-ended agent tasks would show whether the 60% cliff is universal.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper challenges the 'frozen world' assumption commonly made in LRM evaluation. It introduces two dynamic scenarios: time-constrained interruptions (hard and soft) and update-driven interruptions, where task specifications change mid-reasoning. The authors formalize interruption-conditioned accuracy and length metrics, build a new benchmark by augmenting GSM8K, MATH500, AIME24/25, and LiveCodeBench-v6, and evaluate Qwen3-8B, GPT-OSS-20B, and Magistral-S-1.2. They report that hard interrupts produce roughly anytime behavior but cause 'reasoning leakage' (continued reasoning in the answer segment), soft interrupts can induce 'panic' (premature termination), and update-driven interruptions cause 'self-doubt' and accuracy drops of up to 60%. They also show that a simple prompt-guidance postfix mitigates some of the degradation, and they ablate model scale and assistant-turn vs. user-turn injection. The paper's central claim is that static evaluations overestimate LRM robustness in dynamic, interruptible settings.
Significance. If the results hold, this is a timely and important contribution. The paper identifies a real evaluation gap: LRMs are deployed in interactive settings where contexts change mid-inference, yet standard benchmarks assume a static query. The proposed protocols and public dataset could become useful evaluation infrastructure, and the failure-mode taxonomy (reasoning leakage, panic, self-doubt) is intuitive and actionable. The experimental design has notable strengths: relative interrupt positions rather than absolute token thresholds, direct accuracy measurements with bootstrapped CIs, ablations on model scale and on user-turn vs. assistant-turn injection, and a large amount of qualitative analysis. However, the headline 60% drop and the failure-mode attributions rest on two pieces of evidence that are not yet fully validated: the manually verified but not independently audited update-driven dataset, and the GPT-5-based self-doubt classifier. Because these are central to the paper's claims, the manuscript needs additional validation before the conclusions can be accepted at face value.
major comments (4)
- [§3.2, Appendix D] The update-driven benchmark is the empirical basis for the headline 'up to 60%' drop (§1, Fig. 4). The 'necessary update' condition a*(q) ≠ a*(q,u) is established only by manual author verification of GPT-5-generated content. The paper reports no inter-annotator agreement, no count of rejected/replaced generations, and no demonstration that every update is unambiguous and sufficient. The Appendix D examples contain multi-part natural-language updates (e.g., the AIME2025 update changes denominations, comparison set, and name); if any component is ambiguous or not strictly required, final outputs may be scored against the wrong ground truth and the measured accuracy drops would be inflated. Please provide an independent annotation pass, or at least detailed audit statistics, and release the annotation instructions.
- [§5, Fig. 1(b)] The 'self-doubt' attribution, including the claim that roughly 80% of update-driven errors stem from self-doubt, relies on an LLM-based classifier (GPT-5) that is not validated. There is no precision/recall, no human agreement, and no error analysis. Because this failure-mode accounting is a stated contribution, please validate the classifier on a human-annotated sample or provide manual annotation of all failures. Without this, the doubt-rate numbers are difficult to interpret.
- [Abstract, §5, Fig. 4] The abstract's 'performance dropping by up to 60%' is not tied to a specific model, dataset, or interrupt position, and it is unclear whether the drop is relative or absolute. This makes the headline difficult to interpret and potentially misleading. Please specify the exact setting (model, dataset, X, with/without prompt guidance), report the underlying accuracies in the relevant table or figure, and qualify the claim to reflect that the maximum occurs in a particular condition rather than uniformly across models.
- [§4, Fig. 1(b)] The 'panic' definition is 'model closing its thinking after using less than 1% of its left context limit after the soft interrupt.' The threshold is arbitrary, and the claim that up to 80% of soft-interrupt errors are attributable to panic is sensitive to it. Please justify the threshold or provide a sensitivity analysis across thresholds (e.g., 0.5%, 1%, 2%, 5%) to show that the qualitative conclusion is robust.
minor comments (6)
- [§3.1, Figs. 2–3] The notation L*(X) is used inconsistently: §3.1 defines it as the static no-interruption cost, but Figure 3's caption uses L*(X) to mean the updated output length and compares it to L(X). Please standardize the notation.
- [Fig. 1 caption] The caption states 'Results are reported at 30% interruption points,' but the paper reports results at multiple interrupt positions (0.1–0.9) in other figures. Clarify which figure uses which setting.
- [Appendix D] In the math augmentation prompt template, the example output contains 'one-quarters' and similar typos; more importantly, the template examples sometimes modify fewer than four specifications or remove the requested output format. This is in the prompt template rather than the final dataset, but it would help to show a cleaned template.
- [Abstract] The abstract contains formatting artifacts: 'Project Page/githubCode' and 'Dataset' appear to be corrupted or misplaced. Also, the project page link is missing from the actual text.
- [References] Many author names appear with non-breaking spaces (e.g., 'Y ang', 'W e', 'T o'), which is clearly a LaTeX issue. Please fix the bibliography formatting.
- [§3.2, update-driven setup] The sentence 'For math tasks, we modify initial conditions ... so that the updated problem p′ together with u is semantically equivalent to the original problem p' is confusingly worded. Since p′ is the initially presented augmented problem and u is the correction, the composition p′ + u equals p. Rewording would improve clarity.
Circularity Check
No circularity: the accuracy measurements, failure-mode attributions, and scaling analyses are direct empirical observations on independently defined protocols.
full rationale
The paper's central claims are empirical measurements of LRM behavior under hard, soft, and update-driven interrupts. The accuracy metric Ai(X)=Pr[a'=a*|X,i] is a definition of the evaluation quantity, not a derived prediction. Time-constrained experiments use unmodified official benchmarks, and update-driven experiments use GPT-5-generated, manually verified updates whose ground-truth answers are taken from the original problems. Constructing updates that change the answer is a dataset-design requirement, not a fitted parameter subsequently renamed as a prediction. The failure-mode labels (reasoning leakage, panic, self-doubt) are operationally defined and then measured on generated traces; panic is defined by early termination, and self-doubt is classified by an LLM-based classifier, so these attributions are not numerically forced by the definitions of the accuracy metric. No load-bearing self-citations, imported uniqueness theorems, or ansatz-via-citation steps appear. Concerns about update ambiguity or classifier reliability are data-quality and correctness risks, not circularity, and do not change the verdict that the empirical derivation chain is self-contained.
Axiom & Free-Parameter Ledger
free parameters (1)
- panic threshold =
1% of remaining context
axioms (4)
- domain assumption Truncating a pre-computed full reasoning trace at fraction X and injecting interruption tokens faithfully represents a real-time interrupt.
- domain assumption Augmented problems and updates are constructed so that each update is necessary and sufficient to restore the original problem (a*(q) != a*(q,u)).
- domain assumption Qwen3-8B/32B, GPT-OSS-20B, and Magistral-S-1.2 are representative state-of-the-art reasoning models.
- domain assumption The GPT-5-based classifier accurately identifies self-doubt in truncated reasoning traces.
invented entities (3)
-
reasoning leakage
no independent evidence
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panic
no independent evidence
-
self-doubt
no independent evidence
read the original abstract
Real-world applications of Large Reasoning Models (LRMs) often require reasoning about changing prompts or environments. In this work, we challenge the frozen world assumption and evaluate LRM robustness under two realistic dynamic scenarios: interruptions, which test the accuracy of model responses under budget-constrained outputs, and dynamic context, which tests model adaptation to in-flight changes. Across mathematics and programming benchmarks that require long-form reasoning, static evaluations consistently overestimate robustness: even state-of-the-art LRMs, which achieve high accuracy in static settings, can fail unpredictably when interrupted or exposed to changing context, with performance dropping by up to 60% when updates are introduced late in the reasoning process. Our analysis further reveals several novel failure modes, including reasoning leakage, where models fold the reasoning into their final answer when interrupted; panic, where under time pressure models abandon reasoning entirely and return incorrect answers; and self-doubt, where performance degrades when trying to incorporate updated information. Project Page: http://dynamic-lm.github.io/
Figures
Reference graph
Works this paper leans on
-
[1]
gpt-oss-120b & gpt-oss-20b model card
Sandhini Agarwal, Lama Ahmad, Jason Ai, Sam Altman, Andy Applebaum, Edwin Arbus, Rahul K Arora, Yu Bai, Bowen Baker, Haiming Bao, et al. gpt-oss-120b & gpt-oss-20b model card. arXiv preprint arXiv:2508.10925, 2025
Pith/arXiv arXiv 2025
-
[2]
Training language models to reason efficiently
Daman Arora and Andrea Zanette. Training language models to reason efficiently. arXiv preprint arXiv:2502.04463, 2025
arXiv 2025
-
[3]
Sketch-of-thought: Efficient llm reasoning with adaptive cognitive-inspired sketching
Simon A Aytes, Jinheon Baek, and Sung Ju Hwang. Sketch-of-thought: Efficient llm reasoning with adaptive cognitive-inspired sketching. arXiv preprint arXiv:2503.05179, 2025
arXiv 2025
-
[4]
Ziqian Bi, Lu Chen, Junhao Song, Hongying Luo, Enze Ge, Junmin Huang, Tianyang Wang, Keyu Chen, Chia Xin Liang, Zihan Wei, et al. Exploring efficiency frontiers of thinking budget in medical reasoning: Scaling laws between computational resources and reasoning quality. arXiv preprint arXiv:2508.12140, 2025
arXiv 2025
-
[5]
K2-think: A parameter-efficient reasoning system
Zhoujun Cheng, Richard Fan, Shibo Hao, Taylor W Killian, Haonan Li, Suqi Sun, Hector Ren, Alexander Moreno, Daqian Zhang, Tianjun Zhong, et al. K2-think: A parameter-efficient reasoning system. arXiv preprint arXiv:2509.07604, 2025
arXiv 2025
-
[6]
Training verifiers to solve math word problems
Karl Cobbe, Vineet Kosaraju, Mohammad Bavarian, Mark Chen, Heewoo Jun, Lukasz Kaiser, Matthias Plappert, Jerry Tworek, Jacob Hilton, Reiichiro Nakano, et al. Training verifiers to solve math word problems. arXiv preprint arXiv:2110.14168, 2021
Pith/arXiv arXiv 2021
-
[7]
American invitational mathematics examination-aime 2024, 2024, 2024
MAA Codeforces. American invitational mathematics examination-aime 2024, 2024, 2024
2024
-
[8]
An analysis of time-dependent planning
Thomas L Dean and Mark S Boddy. An analysis of time-dependent planning. In AAAI, volume 88, pp.\ 49--54, 1988
1988
-
[9]
Chenrui Fan, Ming Li, Lichao Sun, and Tianyi Zhou. Missing premise exacerbates overthinking: Are reasoning models losing critical thinking skill? arXiv preprint arXiv:2504.06514, 2025
Pith/arXiv arXiv 2025
-
[10]
Deepseek-r1: Incentivizing reasoning capability in llms via reinforcement learning
Daya Guo, Dejian Yang, Haowei Zhang, Junxiao Song, Ruoyu Zhang, Runxin Xu, Qihao Zhu, Shirong Ma, Peiyi Wang, Xiao Bi, et al. Deepseek-r1: Incentivizing reasoning capability in llms via reinforcement learning. arXiv preprint arXiv:2501.12948, 2025
Pith/arXiv arXiv 2025
-
[11]
Token-budget-aware llm reasoning
Tingxu Han, Zhenting Wang, Chunrong Fang, Shiyu Zhao, Shiqing Ma, and Zhenyu Chen. Token-budget-aware llm reasoning. arXiv preprint arXiv:2412.18547, 2024
Pith/arXiv arXiv 2024
-
[12]
Chaoqun He, Renjie Luo, Yuzhuo Bai, Shengding Hu, Zhen Leng Thai, Junhao Shen, Jinyi Hu, Xu Han, Yujie Huang, Yuxiang Zhang, et al. Olympiadbench: A challenging benchmark for promoting agi with olympiad-level bilingual multimodal scientific problems. arXiv preprint arXiv:2402.14008, 2024
Pith/arXiv arXiv 2024
-
[13]
Livecodebench: Holistic and contamination free evaluation of large language models for code
Naman Jain, King Han, Alex Gu, Wen-Ding Li, Fanjia Yan, Tianjun Zhang, Sida Wang, Armando Solar-Lezama, Koushik Sen, and Ion Stoica. Livecodebench: Holistic and contamination free evaluation of large language models for code. arXiv preprint arXiv:2403.07974, 2024
Pith/arXiv arXiv 2024
-
[14]
Carlos E Jimenez, John Yang, Alexander Wettig, Shunyu Yao, Kexin Pei, Ofir Press, and Karthik Narasimhan. Swe-bench: Can language models resolve real-world github issues? arXiv preprint arXiv:2310.06770, 2023
Pith/arXiv arXiv 2023
-
[15]
Thinkless: A training-free inference-efficient method for reducing reasoning redundancy
Gengyang Li, Yifeng Gao, Yuming Li, and Yunfang Wu. Thinkless: A training-free inference-efficient method for reducing reasoning redundancy. arXiv preprint arXiv:2505.15684, 2025 a
Pith/arXiv arXiv 2025
-
[16]
Steering llm thinking with budget guidance
Junyan Li, Wenshuo Zhao, Yang Zhang, and Chuang Gan. Steering llm thinking with budget guidance. arXiv preprint arXiv:2506.13752, 2025 b
Pith/arXiv arXiv 2025
-
[17]
Let's verify step by step
Hunter Lightman, Vineet Kosaraju, Yuri Burda, Harrison Edwards, Bowen Baker, Teddy Lee, Jan Leike, John Schulman, Ilya Sutskever, and Karl Cobbe. Let's verify step by step. In The Twelfth International Conference on Learning Representations, 2024. URL https://openreview.net/forum?id=v8L0pN6EOi
2024
-
[18]
Can language models learn to skip steps? Advances in Neural Information Processing Systems, 37: 0 45359--45385, 2024
Tengxiao Liu, Qipeng Guo, Xiangkun Hu, Cheng Jiayang, Yue Zhang, Xipeng Qiu, and Zheng Zhang. Can language models learn to skip steps? Advances in Neural Information Processing Systems, 37: 0 45359--45385, 2024
2024
-
[19]
Reasoning models can be effective without thinking
Wenjie Ma, Jingxuan He, Charlie Snell, Tyler Griggs, Sewon Min, and Matei Zaharia. Reasoning models can be effective without thinking. arXiv preprint arXiv:2504.09858, 2025
Pith/arXiv arXiv 2025
-
[20]
Niklas Muennighoff, Zitong Yang, Weijia Shi, Xiang Lisa Li, Li Fei-Fei, Hannaneh Hajishirzi, Luke Zettlemoyer, Percy Liang, Emmanuel Cand \`e s, and Tatsunori Hashimoto. s1: Simple test-time scaling. arXiv preprint arXiv:2501.19393, 2025
Pith/arXiv arXiv 2025
-
[21]
Self-training elicits concise reasoning in large language models
Tergel Munkhbat, Namgyu Ho, Seo Hyun Kim, Yongjin Yang, Yujin Kim, and Se-Young Yun. Self-training elicits concise reasoning in large language models. arXiv preprint arXiv:2502.20122, 2025
Pith/arXiv arXiv 2025
-
[22]
Concise thoughts: Impact of output length on llm reasoning and cost
Sania Nayab, Giulio Rossolini, Marco Simoni, Andrea Saracino, Giorgio Buttazzo, Nicolamaria Manes, and Fabrizio Giacomelli. Concise thoughts: Impact of output length on llm reasoning and cost. arXiv preprint arXiv:2407.19825, 2024
Pith/arXiv arXiv 2024
-
[23]
Nvidia nemotron nano 2: An accurate and efficient hybrid mamba-transformer reasoning model, 2025
NVIDIA. Nvidia nemotron nano 2: An accurate and efficient hybrid mamba-transformer reasoning model, 2025. URL https://arxiv.org/abs/2508.14444
Pith/arXiv arXiv 2025
-
[24]
Abhinav Rastogi, Albert Q Jiang, Andy Lo, Gabrielle Berrada, Guillaume Lample, Jason Rute, Joep Barmentlo, Karmesh Yadav, Kartik Khandelwal, Khyathi Raghavi Chandu, et al. Magistral. arXiv preprint arXiv:2506.10910, 2025
Pith/arXiv arXiv 2025
-
[25]
Gpqa: A graduate-level google-proof q&a benchmark
David Rein, Betty Li Hou, Asa Cooper Stickland, Jackson Petty, Richard Yuanzhe Pang, Julien Dirani, Julian Michael, and Samuel R Bowman. Gpqa: A graduate-level google-proof q&a benchmark. In First Conference on Language Modeling, 2024
2024
-
[26]
Stop overthinking: A survey on efficient reasoning for large language models
Yang Sui, Yu-Neng Chuang, Guanchu Wang, Jiamu Zhang, Tianyi Zhang, Jiayi Yuan, Hongyi Liu, Andrew Wen, Shaochen Zhong, Na Zou, et al. Stop overthinking: A survey on efficient reasoning for large language models. arXiv preprint arXiv:2503.16419, 2025 a
Pith/arXiv arXiv 2025
-
[27]
Meta-reasoner: Dynamic guidance for optimized inference-time reasoning in large language models
Yuan Sui, Yufei He, Tri Cao, Simeng Han, Yulin Chen, and Bryan Hooi. Meta-reasoner: Dynamic guidance for optimized inference-time reasoning in large language models. arXiv preprint arXiv:2502.19918, 2025 b
Pith/arXiv arXiv 2025
-
[28]
Wait, we don't need to" wait"! removing thinking tokens improves reasoning efficiency
Chenlong Wang, Yuanning Feng, Dongping Chen, Zhaoyang Chu, Ranjay Krishna, and Tianyi Zhou. Wait, we don't need to" wait"! removing thinking tokens improves reasoning efficiency. arXiv preprint arXiv:2506.08343, 2025
Pith/arXiv arXiv 2025
-
[29]
Tokenskip: Controllable chain-of-thought compression in llms
Heming Xia, Chak Tou Leong, Wenjie Wang, Yongqi Li, and Wenjie Li. Tokenskip: Controllable chain-of-thought compression in llms. arXiv preprint arXiv:2502.12067, 2025
arXiv 2025
-
[30]
Chain of draft: Thinking faster by writing less
Silei Xu, Wenhao Xie, Lingxiao Zhao, and Pengcheng He. Chain of draft: Thinking faster by writing less. arXiv preprint arXiv:2502.18600, 2025
Pith/arXiv arXiv 2025
-
[31]
Inftythink: Breaking the length limits of long-context reasoning in large language models
Yuchen Yan, Yongliang Shen, Yang Liu, Jin Jiang, Mengdi Zhang, Jian Shao, and Yueting Zhuang. Inftythink: Breaking the length limits of long-context reasoning in large language models. arXiv preprint arXiv:2503.06692, 2025
arXiv 2025
-
[32]
An Yang, Anfeng Li, Baosong Yang, Beichen Zhang, Binyuan Hui, Bo Zheng, Bowen Yu, Chang Gao, Chengen Huang, Chenxu Lv, et al. Qwen3 technical report. arXiv preprint arXiv:2505.09388, 2025
Pith/arXiv arXiv 2025
-
[33]
Distilling system 2 into system 1
Ping Yu, Jing Xu, Jason Weston, and Ilia Kulikov. Distilling system 2 into system 1. arXiv preprint arXiv:2407.06023, 2024
Pith/arXiv arXiv 2024
-
[34]
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