EnactToM: An Evolving Benchmark for Functional Theory of Mind in Embodied Agents
Pith reviewed 2026-05-20 23:24 UTC · model grok-4.3
The pith
Frontier models achieve 0% on functional Theory of Mind tasks in embodied settings despite 45% on literal belief questions
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
EnactToM demonstrates that current models cannot complete embodied collaborative tasks that depend on tracking and acting upon partners' private information, scoring zero percent Pass^3 on the hard split, in contrast to their average 45 percent accuracy on literal belief probes. Manual analysis attributes 93 percent of failures to epistemic coordination breakdowns such as withheld information and ignored partner constraints.
What carries the argument
EnactToM benchmark of formally verified embodied multi-agent tasks that isolate functional Theory of Mind by requiring optimal action based on inferred epistemic states under partial observability and constrained communication.
If this is right
- Literal belief questions alone do not measure the ability to act on inferred knowledge in collaborative physical settings.
- Epistemic coordination failures such as withheld information and misallocated messages must be addressed to enable functional Theory of Mind.
- The evolving nature of the benchmark allows it to maintain difficulty as models improve on current tasks.
Where Pith is reading between the lines
- Training focused on direct question answering may not produce the internal tracking needed for acting on beliefs in dynamic environments.
- The same coordination breakdowns could appear in other multi-agent domains such as robotic teams or virtual assistants.
Load-bearing premise
The 3D household setup with partial observability and constrained communication accurately captures the epistemic demands that require agents to act on implicit beliefs rather than other solvable strategies.
What would settle it
A model achieving greater than 20 percent Pass^3 on the hard split of EnactToM tasks by correctly inferring and using private information without explicit messages would falsify the observed performance gap.
read the original abstract
Theory of Mind (ToM), the ability to track others epistemic state, makes humans efficient collaborators. AI agents need the same capacity in multi agent settings, yet existing benchmarks mostly test literal ToM by asking direct belief questions. The ability act optimally on implicit beliefs in embodied environments, called functional ToM, remains largely untested. We introduce EnactToM, an evolving benchmark of 300 embodied multi-agent tasks set in a 3D household with partial observability, private information, and constrained communication. Each task is formally verified for solvability and required epistemic depth, and new tasks are generated increase difficulty as models improve. On the hard split, all seven evaluated frontier models score 0.0% Pass^3 on functional task completion, while averaging 45.0% on literal belief probes. Manual analysis traces 93% of sampled failures to epistemic coordination breakdowns such as withheld information, ignored partner constraints, and misallocated messages, providing a concrete target for future work.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces EnactToM, an evolving benchmark consisting of 300 embodied multi-agent tasks in a 3D household environment with partial observability, private information, and constrained communication. It evaluates seven frontier models on functional Theory of Mind (acting optimally on implicit beliefs) versus literal belief probes, reporting 0.0% Pass^3 on functional task completion in the hard split versus 45.0% on literal probes. Each task is formally verified for solvability and required epistemic depth; new tasks are generated to increase difficulty as models improve. Manual analysis attributes 93% of sampled failures to epistemic coordination breakdowns.
Significance. If the verification procedures establish that tasks genuinely require functional ToM rather than being solvable by other means, the benchmark supplies a reproducible, falsifiable target for embodied multi-agent systems and highlights a measurable gap between literal and functional ToM performance in current models. The evolving generation mechanism and explicit failure categorization are positive features that could support iterative progress tracking.
major comments (2)
- [Benchmark Construction] Benchmark Construction section (or equivalent): The formal verification procedure is described as confirming 'solvability and required epistemic depth,' yet it is not shown that every successful policy must perform epistemic coordination (e.g., via exhaustive search over information partitions or proof that non-epistemic policies fail). Without this necessity argument, the 0.0% Pass^3 result on the hard split could reflect failures in low-level planning, message parsing, or embodiment constraints instead of functional ToM, undermining the central claim that the benchmark isolates the intended capability.
- [Evaluation and Results] Evaluation and Results section: The 93% figure from manual failure analysis is post-hoc and based on a sampled subset; the paper should report the sample size, selection criteria, and inter-annotator agreement to establish that the attribution to epistemic coordination is representative rather than anecdotal.
minor comments (2)
- [Evaluation] Define 'Pass^3' explicitly on first use, including the precise success criteria and any aggregation across agents or trials.
- [Benchmark] Clarify how the hard split is constructed relative to the evolving task generation process and whether it remains fixed or is regenerated.
Simulated Author's Rebuttal
We thank the referee for their constructive comments on our manuscript. We address each major comment below and indicate the changes we will make in revision.
read point-by-point responses
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Referee: [Benchmark Construction] Benchmark Construction section (or equivalent): The formal verification procedure is described as confirming 'solvability and required epistemic depth,' yet it is not shown that every successful policy must perform epistemic coordination (e.g., via exhaustive search over information partitions or proof that non-epistemic policies fail). Without this necessity argument, the 0.0% Pass^3 result on the hard split could reflect failures in low-level planning, message parsing, or embodiment constraints instead of functional ToM, undermining the central claim that the benchmark isolates the intended capability.
Authors: We appreciate the referee's observation that a stronger necessity argument would more rigorously isolate functional ToM. Our verification procedure already enumerates information partitions to confirm that specific belief updates are required for solvability and that tasks demand a minimum epistemic depth; non-epistemic policies are ruled out at the verification stage because they lead to unsatisfiable goal conditions under the enumerated partitions. Nevertheless, we agree that making this explicit with additional examples and proof sketches would address potential alternative explanations such as low-level planning failures. We will expand the Benchmark Construction section accordingly in the revised manuscript. revision: yes
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Referee: [Evaluation and Results] Evaluation and Results section: The 93% figure from manual failure analysis is post-hoc and based on a sampled subset; the paper should report the sample size, selection criteria, and inter-annotator agreement to establish that the attribution to epistemic coordination is representative rather than anecdotal.
Authors: We agree that greater transparency is needed for the manual failure analysis. We will revise the Evaluation and Results section to report the sample size of analyzed failures, the criteria used for selecting the subset (random sampling from the pool of failed trajectories), and inter-annotator agreement metrics. These additions will substantiate that the 93% attribution to epistemic coordination breakdowns is representative. revision: yes
Circularity Check
No circularity: empirical benchmark with no derivations or fits
full rationale
The paper introduces EnactToM as an empirical benchmark of 300 tasks with formal verification for solvability and epistemic depth, followed by direct model evaluations (0.0% Pass^3 functional vs 45.0% literal on hard split). No mathematical derivation chain, parameter fitting, predictions, or first-principles results are claimed or present. Task verification is a methodological assertion, not a self-referential definition or fitted input renamed as output. No self-citations are load-bearing for any central result, and the 93% failure analysis is post-hoc sampling. The work is self-contained against external benchmarks and model runs.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Tasks can be formally verified for solvability and required epistemic depth
Lean theorems connected to this paper
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IndisputableMonolith/Foundation/AbsoluteFloorClosure.leanabsolute_floor_iff_bare_distinguishability unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
Each task is formally verified for solvability and required epistemic depth... K-depth 1/2/3... PDDL goal formula combining physical predicates with K-operators
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
On the hard split, all seven evaluated frontier models score 0.0% Pass^3 on functional task completion, while averaging 45.0% on literal belief probes
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
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Rosemarie Nagel. Unraveling in guessing games: An experimental study.The American Economic Review, 85(5):1313–1326, 1995. ISSN 00028282. URLhttp://www.jstor.org/stable/2950991
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[62]
Vincent P. Crawford and Nagore Iriberri. Fatal attraction: Salience, naïveté, and sophistication in experimental “hide-and-seek” games.American Economic Review, 97(5):1731–1750, 2007. doi: 10.1257/aer.97.5.1731. URLhttps://doi.org/10.1257/aer.97.5.1731. 16 EnactToM Figure 3:Cumulative tasks generated with and without ICL seed examples. With ICL (seed task...
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[63]
Another agent openscabinet_34. If Fast Downward finds this plan (or any valid alternative), the task is provably solvable. TheK-depth of 2 is read directly from the nesting structure during Step 1. F. Task generation agent workspace and prompt The generation agent operates in an isolated workspace directory: 1workspace/ 2working_task.json # task being aut...
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[64]
new_scene[N]→load scene
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[65]
Inspect seed tasks in sampled_tasks/ for inspiration
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[66]
Do NOT hand-author :objects or :init
Edit working_task.json: author the problem_pddl :goal FIRST, then write task, agent_secrets, and mechanic bindings to match. Do NOT hand-author :objects or :init
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[67]
judge[]→fix→repeat until pass
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[68]
test_task[]→reject tasks that fail with full information
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[69]
Wait for agent_3 to tell you whether stand_34 is open, then forward that to agent_0
submit_task[]. Core rules. – Author the PDDL goal as the source of truth; write narrative to match it. – Secrets state WHAT (room restrictions, target IDs, mechanic hints) but NEVER HOW (no coordination strategy, no relay instructions). – Every agent must make a distinct, non-substitutable contribution. – At least one physical action must be information-d...
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[70]
argued that the critical test of ToM is attribution of false beliefs, and [51] formalised the “intentional stance” — predicting behaviour by attributing beliefs and rational agency. [52] computationally formalised this as Bayesian inverse planning, later extended to joint inference over beliefs, desires, and percepts [53]. On the coordination side, [54] a...
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