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REVIEW 3 major objections 6 minor 9 cited by

Explore Theory of Mind: Program-guided adversarial data generation for theory of mind reasoning

T0 review · 3 major / 6 minor · reviewed 2026-08-11 · deepseek-v4-flash

Pith's one-line read LLMs drop to near-zero accuracy on theory-of-mind stories generated by ExploreToM, a search over hand-coded mental-state rules.

desk verdict ExploreToM is a serious, well-executed adversarial-generation framework for ToM; the central claims hold, but the headline difficulty numbers are searched-for minima and the tracker's correctness needs more validation. read the letter →

arxiv 2412.12175 v1 pith:WSG62FUG submitted 2024-12-12 cs.LG cs.AIcs.CL

classification cs.LGcs.AIcs.CL
keywords theoryofmindlargelanguagemodelsadversarialdatagenerationA*searchdomain-specificmentalstatetrackingbenchmark
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper argues that existing theory-of-mind benchmarks are too simple and can overstate model ability, and it introduces ExploreToM to close that gap: a generator that searches a hand-written domain-specific language for story structures whose characters have divergent mental states. The search minimizes a target LLM's accuracy on auto-generated questions, so the resulting data is deliberately hard; the paper reports accuracies as low as 0% for Llama-3.1-70B and 9% for GPT-4o on the hardest settings. The same data, when used for fine-tuning, transfers to classic benchmarks, raising ToMi accuracy by 27 points and Hi-ToM by 29 points while mostly preserving general reasoning. The paper also reports that LLMs fail at basic state-tracking questions even more than at explicitly social ones, and that randomly generated stories rarely require theory of mind, suggesting why natural training data may under-develop the skill.

What carries the argument

The load-bearing mechanism is the mental-state tracker embedded in a domain-specific language for theory of mind. Every supported action—entering and leaving rooms, moving objects, updating object state, private and public messages, chit-chat, and asymmetric modifiers like secret witnesses or distractions—is a function that updates a world state plus first-order and second-order beliefs, with preconditions on when it can apply. Because the tracker generates the questions and answers, ground truth is exact, and A* search (a best-first search that minimizes cumulative cost plus a heuristic estimate of remaining cost) uses a model's accuracy as the cost while a heuristic pushes toward stories satisfying user constraints such as number of people, rooms, or key actions. This combination lets the generator actively seek out hard cases and supports both evaluation and training.

What would settle it

Take 100 ExploreToM story structures that use each action type and modifier at least once, and have two independent human annotators write out every character's first- and second-order beliefs after each action; if the tracker's labels disagree with human judgment on any rule (for example, a private message updating only the recipient, or a distracted witness not knowing an action occurred), the paper's reliability claim and the reported model accuracies would rest on the wrong ground truth.

Watch

Extended reading notes

Core claim

The central claim is that a program-guided adversarial generator can produce theory-of-mind stories that are simultaneously correct, diverse, and hard for current LLMs. A story is a sequence of actions from a domain-specific language; each action updates the physical world and every character's first- and second-order beliefs, so ground-truth answers to generated questions are produced by the tracker, not by an LLM. The A* search scores partial stories by the target model's question accuracy and drives toward narratives with low accuracy, yielding stories on which frontier models score as low as 0% (Llama-3.1-70B) and 9% (GPT-4o). Fine-tuning Llama-3.1-8B on this data improves the classic ToMi benchmark by 27 accuracy points, showing the same data can serve as training material, not just evaluation.

Load-bearing premise

The hand-written belief-update rules in the domain-specific language correctly predict what a person knows when they witness, miss, or are told about an action; only 100 labels were human-checked, so an error in any rule would corrupt the ground-truth answers and the accuracy numbers.

Editorial extensions

If this is right

  • ExploreToM can serve as a benchmark that is refreshed against whatever model the A* search targets, so it should stay challenging even as LLMs improve, without waiting for manual benchmark writing.
  • Fine-tuning on ExploreToM-generated stories transfers to existing theory-of-mind benchmarks: +27 points on ToMi and +29 on Hi-ToM, with small gains or no loss on BigToM, OpenToM, and FANToM.
  • State tracking is a separable and harder component of theory of mind in this data; uninteresting questions (where every character would give the same answer) are answered less accurately than interesting ones by all three models tested.
  • Randomly sampled stories from the same domain-specific language require theory of mind only 13–31% of the time, so curated search rather than random generation is what produces useful ToM training data.
  • Infilled natural-language stories remain challenging (average accuracy 0.61 for Llama-3.1-70B), and human agreement with tracker labels is 99% on a 100-question check, supporting the reliability of the ground truth.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A natural next experiment is to run the A* search against a fixed model while varying the target model, and check whether the difficulty gap between models predicts downstream performance differences; the paper only reports the 2-point accuracy difference between A* and over-generation, not stability across random seeds.
  • The finding that uninteresting state-tracking questions are harder suggests that part of LLMs' ToM failure may be a broader event-tracking deficit; a testable extension is to train on state-tracking-only questions and see whether ToM questions improve.
  • Because the DSL separates the logical story structure from the lexical story surface, ExploreToM could be extended to test whether models answer from reasoning or from wording cues, an avenue the paper does not pursue.
  • The 78%-of-random-stories-do-not-require-ToM statistic implies that other synthetic-data pipelines that sample stories without an adversarial objective may quietly under-exercise belief divergence; measuring the 'interesting' fraction of those pipelines would show whether this is a general phenomenon.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The paper introduces ExploreToM, an A*-search-based pipeline that generates synthetic theory-of-mind (ToM) story structures from a domain-specific language with a deterministic belief tracker, and produces ground-truth QA pairs without using an LLM in the QA generation step. The authors show that such generated stories are challenging for Llama-3.1-70B, GPT-4o, and Mixtral, with per-model minima as low as 0% and 9% accuracy, that the difficulty transfers across models, and that fine-tuning Llama-3.1-8B on the generated data improves accuracy on ToMi (+27) and Hi-ToM (+29) while roughly preserving MMLU and dialogue state tracking. They also use the framework to attribute part of the failure to unreliable state tracking and to show that training data must contain theory-of-mind-requiring questions to improve downstream ToM performance.

Significance. The strongest contributions are the deterministic QA generation, the A* search over a larger action space than prior benchmarks, the cross-model transfer demonstration, and the fine-tuning gains on external benchmarks; the state-tracking and data-mixture analyses are concrete and falsifiable. The 99% human agreement on 100 raw labels, though limited in coverage, is a useful sanity check. The paper's main claims, however, depend on two points that need strengthening before they are fully convincing: the correctness of the hand-coded tracker is not demonstrated at the required coverage, and the headline difficulty scores are minima of an optimization over each model's own accuracy rather than distributional estimates. These are fixable with additional reporting and code/appendix completeness, so I recommend major revision rather than rejection.

major comments (3)
  1. [Section 2.2.3 / Abstract / Table 1] The headline finding that frontier models score "as low as 0% and 9%" is a direct consequence of the search objective: g(s) is defined as the target model's accuracy on all generated questions, and A* minimizes f(s)=g(s)+h(s). The resulting scores are minima of an optimization run for each model, not estimates of typical performance on the generated distribution. To support the claim that ExploreToM reveals general limitations rather than just that an optimizer can find a failing story for any model, please report the full distribution (mean, median, quantiles) of accuracies over generated stories, and compare against randomly sampled stories with the same isDesired constraints, in addition to the current 2-point average A* vs over-generation result. This should be accompanied by confidence intervals, since Table 1 shows per-action-set accuracies ranging from 0.00 to 0.77.
  2. [Section 2.2.1 / Appendix A.1 / Limitations] Every experimental result in the paper inherits the correctness of the hand-coded belief tracker, but the manuscript does not actually provide the full tracker: Section 2.2.1 refers to App. A.1 for "the full programs", while App. A.1 defines only aleave and states that "all other functions definitions can be found verbatim in the code to be released." The human label check (100 questions across 12 story structures, 99% agreement) is too sparse to cover the combinatorial space of actions, asymmetric modifiers (apeek, adistracted), belief levels up to order 2, and interaction orders. A single incorrect update rule, for example how a private info message updates non-recipients' second-order beliefs or how a peek modifier updates witnesses' higher-order beliefs, would silently corrupt the ground truth for an entire action class and all downstream fine-tuning results. Please include full formal definitions or the code in the supplement, and add human validation stratified by action type, modifier, and belief order. The formal definition of aleave also appears to have a typo in the first-order belief update (the witness line uses b1 where b'1 is presumably intended), which further underscores the need for a careful presentation of the tracker.
  3. [Section 3 / Table 2 / Figure 6] The claims about cross-model transfer and about A* being better than over-generation are under-specified statistically. Table 2 reports single numbers on a random sample of 1000 (story, question) pairs, but because pairs are clustered within stories, the standard errors are not captured; similarly, the A* vs over-generation comparison in Section 3 reports a 2-point average difference with no confidence interval or paired significance test. Given the large variance across action sets (Table 1), these comparisons should be presented with per-setting paired differences and bootstrap or cluster-robust intervals. This does not undermine the existence of transfer, but it currently prevents the reader from assessing its magnitude.
minor comments (6)
  1. [Table 1] The caption says "18 action sets" but the table lists 9 action sets each evaluated with and without asymmetry; please clarify the counting.
  2. [Section 2.1] Typo: "autorregresive" should be "autoregressive".
  3. [Table 2] The model name "Mixtral 7x8B" is inconsistent with "Mixtral-8x7B-Instruct" used elsewhere in the paper.
  4. [Section 4 and Figure 5 caption] The Section 4 text reports 79,700 (story, question, answer) triples while the Figure 5 caption says 85,000 story structure samples; please reconcile or clarify the distinction between triples and story samples.
  5. [Appendix A.1] In the aleave definition, the first-order belief update for witnesses is written as b1(p,Beth,room) = not kitchen, but this line appears to use the old belief variable where the updated belief b'1 was intended; please fix the notation.
  6. [Limitations] Typo: "wich" should be "which".

Circularity Check

1 steps flagged · score 6.0 of 10

Same-model difficulty numbers are the A* objective by construction; cross-model and fine-tuning results keep the core contribution partially independent.

  1. fitted input called prediction [Section 2.2.3 (A* Search); Table 1 caption; Section 3 opening results paragraph]
    "A story is said to be challenging for a model if it incorrectly answers our generated questions, i.e., it shows low accuracy. Thus, we define g(s) as our target model’s accuracy among all questions for s. ... Data was generated using each model as its own evaluator (i.e., as g(·))."

    A* selects stories minimizing f(s) = g(s) + h(s), where g(s) is the evaluating model's own accuracy. The headline numbers — 'accuracies as low as 0% and 9%' for Llama-3.1-70B and GPT-4o — are therefore the minimized objective for datasets generated with each model as its own evaluator, not independent measurements of model ability. The low accuracy is enforced by the search criterion rather than discovered. The paper's cross-model evaluation (Table 2), human label agreement, and external ToMi/Hi-ToM fine-tuning gains are not determined by the same optimization, so the circularity is partial rather than total.

full rationale

The derivation chain is largely self-contained: the DSL tracker generates ground-truth labels without using LLMs in the QA procedure, the human validation (99% agreement on 100 sampled labels) independently checks a portion of the label space, and the fine-tuning improvements on ToMi and Hi-ToM are external benchmarks not used in the A* objective. The main circular step is the same-model difficulty claim. Because g(s) is literally the target model's accuracy and A* minimizes f(s) = g(s) + h(s), the abstract's 'as low as 0% and 9%' figures for the models used as g are minima of the search objective; those numbers are search results, not independent evaluation outcomes. This does not invalidate the method, since adversarial search is transparently the goal, but it means the headline difficulty figures should be read as constructed by the optimizer. The cross-model difficulty in Table 2, the external benchmark gains in Table 3, and the state-tracking analysis provide independent content, so the paper is only partially circular.

Assumptions & free parameters 5 free parameters · 4 assumptions · 0 invented entities

The search hyperparameters (alpha, P, k, node budget, max length) are hand-set and could affect the difficulty ceiling; the core load-bearing assumptions are the belief-tracker semantics and the operationalization of theory of mind as diverging belief questions.

free parameters (5)
  • A* heuristic scaling alpha = 0.1
    Scales h(s) in the A* heuristic; set by hand and not swept.
  • A* continuation samples P = 50
    Number of random continuations used to estimate h(s); hand-set.
  • A* grouping factor k = 3
    Number of actions sampled per node; hand-set.
  • Number of nodes evaluated per story = 50
    Search budget; low-accuracy minima are relative to this budget.
  • Maximum actions per story m = 15
    Bounds the search; part of user conditions.
assumptions (4)
  • domain assumption Belief-update rules in the DSL correctly model human mental-state tracking, e.g., witnesses of an action know it and update their beliefs, non-witnesses assume no change.
    Section 2.2.1 and A.1 define these rules by hand; the paper samples only 100 labels for human agreement, so the rules for all action combinations are not fully empirically validated.
  • domain assumption The supported action set and question templates operationalize cognitive theory of mind.
    The paper focuses only on cognitive ToM (beliefs/knowledge), not affective; the DSL restricts interactions to the supported action types.
  • domain assumption State-update equivalence classes (visible/invisible property changes) preserve belief implications across surface actions.
    Section 2.2.1: many surface actions such as 'peeling an apple' and 'covering it in chocolate' are treated as equivalent belief updates; any error here propagates to ground truth.
  • domain assumption LLM-as-judge filtered infillings are semantically faithful to story structures; infilled stories are used only for training.
    Used for training data; evaluation uses raw structures. Infilling human agreement is 89% on 100 questions, so some ambiguity likely remains.

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Cite this review

Pith. "Pith review of Explore Theory of Mind: Program-guided adversarial data generation for theory of mind reasoning." pith.science (2026). https://pith.science/paper/WSG62FUG

@misc{pith2026241212175,
  author       = {Pith},
  title        = {Pith review of: Explore Theory of Mind: Program-guided adversarial data generation for theory of mind reasoning},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/WSG62FUG}},
  note         = {Machine review of arXiv:2412.12175}
}
read the original abstract

Do large language models (LLMs) have theory of mind? A plethora of papers and benchmarks have been introduced to evaluate if current models have been able to develop this key ability of social intelligence. However, all rely on limited datasets with simple patterns that can potentially lead to problematic blind spots in evaluation and an overestimation of model capabilities. We introduce ExploreToM, the first framework to allow large-scale generation of diverse and challenging theory of mind data for robust training and evaluation. Our approach leverages an A* search over a custom domain-specific language to produce complex story structures and novel, diverse, yet plausible scenarios to stress test the limits of LLMs. Our evaluation reveals that state-of-the-art LLMs, such as Llama-3.1-70B and GPT-4o, show accuracies as low as 0% and 9% on ExploreToM-generated data, highlighting the need for more robust theory of mind evaluation. As our generations are a conceptual superset of prior work, fine-tuning on our data yields a 27-point accuracy improvement on the classic ToMi benchmark (Le et al., 2019). ExploreToM also enables uncovering underlying skills and factors missing for models to show theory of mind, such as unreliable state tracking or data imbalances, which may contribute to models' poor performance on benchmarks.

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Forward citations

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Pith tools

Reviewed August 11, 2026 · model on record in the stance chip above.