SkillWrapper: Generative Predicate Invention for Task-level Robot Planning
Pith reviewed 2026-05-17 05:39 UTC · model grok-4.3
The pith
A formal theory of generative predicate invention produces symbolic operators for provably sound and complete robot task planning from RGB images.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The authors present a formal theory of generative predicate invention for skill abstraction, resulting in symbolic operators that can be used for provably sound and complete planning. SkillWrapper implements the theory by using foundation models to actively collect robot data and learn human-interpretable, plannable representations of black-box skills from RGB image observations alone, with empirical validation in simulation and on physical robots for long-horizon tasks.
What carries the argument
The formal theory of generative predicate invention, which defines the conditions under which generated predicates yield symbolic operators that preserve soundness and completeness for domain-independent planning.
If this is right
- The resulting symbolic operators integrate directly with standard domain-independent planners for high-level task reasoning.
- Representations learned in simulation or from collected data enable solving long-horizon tasks that were not encountered during training.
- Planning proceeds using only RGB images even when the underlying skills remain black boxes with no exposed state.
- The same learned abstractions support both simulated training and direct real-robot deployment without additional engineering.
Where Pith is reading between the lines
- If the formal properties transfer reliably, the method could reduce reliance on manually engineered predicates across many robot domains.
- Active data collection guided by the theory might be adapted to handle partial observability or sensor noise in more complex settings.
- The predicate invention process could be tested for compatibility with other high-level planners or combined with learned low-level controllers.
Load-bearing premise
The predicates generated by the foundation model must satisfy the formal completeness and soundness conditions required by the theory, and these properties must transfer when the black-box skills run on real robots from image inputs.
What would settle it
A concrete counterexample in which a plan produced by the learned operators cannot reach the goal despite each individual skill executing correctly on the robot would falsify the claim that the operators are sound and complete.
Figures
read the original abstract
Generalizing from individual skill executions to long-horizon tasks is a core challenge in building autonomous robots. A promising direction is learning high-level, symbolic representations of low-level robot skills, enabling abstract reasoning independent of the low-level state space. Recent advances in foundation models have made it possible to generate symbolic predicates that operate on raw sensory inputs-a process we call generative predicate invention-to facilitate downstream representation learning. However, prior work learns these abstractions using heuristic or ad-hoc procedures, ignoring the question of which formal properties they ought to satisfy, and how to guarantee these properties. We address these questions by presenting a formal theory of generative predicate invention for task-level planning, and proposing SkillWrapper, a method that learns symbolic models for provably sound and complete planning. Our approach leverages foundation models to actively collect robot data and learn human-interpretable, plannable representations, using only RGB image observations. Our extensive empirical evaluation in simulation and on real robots shows that SkillWrapper learns abstract representations that enable robots to compose black-box skills to solve unseen, long-horizon tasks in the real world.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces a formal theory of generative predicate invention for skill abstraction, which produces symbolic operators suitable for provably sound and complete planning. SkillWrapper is proposed as a practical method that employs foundation models to actively gather robot data from RGB observations and learn interpretable, plannable representations of black-box skills. Extensive experiments in simulation and on physical robots demonstrate the approach's ability to solve previously unseen long-horizon tasks.
Significance. Should the generated predicates reliably satisfy the formal conditions and the learned representations transfer effectively to real-world execution, this contribution would be significant. It bridges data-driven foundation models with symbolic AI planning, offering a pathway to guaranteed performance in complex robotic tasks without requiring full state observability or hand-crafted abstractions.
major comments (2)
- [§3] The formal theory claims to yield provably sound and complete planning from predicates that meet specific conditions (e.g., accurate state classification and preservation of transition semantics). However, the generative process in SkillWrapper, which relies on foundation models trained on limited trajectories, provides no enforcement or verification mechanism to ensure these conditions are met, particularly regarding completeness over the full state space or under real-robot distribution shifts.
- [§5] The empirical evaluation summarizes results at a high level without error bars, detailed baselines, or explicit exclusion criteria for successful task executions. This limits the ability to verify whether the performance gains support the central claim of enabling reliable planning for unseen tasks with black-box skills.
minor comments (2)
- [Abstract] The abstract mentions 'extensive empirical evaluation' but provides no quantitative details; consider adding key metrics or success rates to better convey the strength of the results.
- [Notation] Some notation for the invented predicates and operators could be clarified earlier in the paper to aid readers unfamiliar with the formal framework.
Simulated Author's Rebuttal
We thank the referee for the constructive feedback on our manuscript. We address each major comment point by point below, with revisions indicated where appropriate to improve clarity and rigor.
read point-by-point responses
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Referee: [§3] The formal theory claims to yield provably sound and complete planning from predicates that meet specific conditions (e.g., accurate state classification and preservation of transition semantics). However, the generative process in SkillWrapper, which relies on foundation models trained on limited trajectories, provides no enforcement or verification mechanism to ensure these conditions are met, particularly regarding completeness over the full state space or under real-robot distribution shifts.
Authors: We appreciate the referee's emphasis on the distinction between the formal theory and its practical realization. Section 3 presents sufficient conditions on predicates that guarantee sound and complete planning when those conditions hold; the theory itself is agnostic to the method of predicate generation. SkillWrapper is a practical, data-driven procedure that uses foundation models to propose predicates from limited RGB trajectories. We do not claim a formal enforcement or verification procedure, as exhaustive verification of completeness over the full (potentially continuous) state space is intractable and would be further complicated by distribution shifts on real robots. Instead, we rely on empirical validation across simulation and physical experiments showing successful planning on unseen long-horizon tasks. In the revised manuscript we will add a new subsection in §3 that explicitly discusses the gap between the theoretical conditions and the learned predicates, including potential failure modes under distribution shift and the role of empirical evidence in supporting the claims. revision: partial
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Referee: [§5] The empirical evaluation summarizes results at a high level without error bars, detailed baselines, or explicit exclusion criteria for successful task executions. This limits the ability to verify whether the performance gains support the central claim of enabling reliable planning for unseen tasks with black-box skills.
Authors: We agree that the current empirical presentation would benefit from greater detail and transparency. In the revised version we will augment all tables and figures with error bars (standard deviation across repeated trials), expand the description of baselines and ablations with explicit implementation details, and add a dedicated paragraph specifying the success criteria and any exclusion rules used for task executions. These additions will make the performance gains more verifiable and directly support the central claim. revision: yes
Circularity Check
No significant circularity; formal theory and method are independent
full rationale
The paper introduces a formal theory of generative predicate invention that yields symbolic operators for provably sound and complete planning, conditional on predicates satisfying stated properties such as accurate state classification and transition preservation. SkillWrapper then uses foundation models and active data collection from RGB observations to produce those predicates. No equations, self-referential definitions, or reductions appear that make the planning guarantees equivalent to fitted parameters or prior self-citations by construction. The derivation relies on external foundation models and robot data, keeping the central claims self-contained rather than circular. This matches the default expectation for papers without load-bearing self-referential steps.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Generated predicates satisfy the formal properties needed for sound and complete planning
invented entities (1)
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Generative predicates invented by foundation models
no independent evidence
Forward citations
Cited by 1 Pith paper
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Learning Bilevel Policies over Symbolic World Models for Long-Horizon Planning
BISON learns bilevel policies over symbolic world models to generalize long-horizon robotic planning beyond VLA and end-to-end baselines while remaining efficient even at 10,000-object scale.
discussion (0)
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