The Law of Task-Achieving Body Motion: Axiomatizing Success of Robot Manipulation Actions

📅 2026-02-06
📈 Citations: 0
Influential: 0
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🤖 AI Summary
This work proposes a Task–Environment–Ontology (TEE) class and a Semantic Digital Twin (SDT) framework to ensure robotic actions are correct at semantic, causal, and ontological levels. It introduces the first formal axiomatization of bodily motion for task achievement, decomposing action correctness into three verifiable predicates: semantic satisfaction, causal sufficiency, and ontological feasibility. The approach enables cross-platform action verification, typed failure diagnosis, and counterfactual reasoning. Evaluated in a kitchen environment, the system successfully synthesizes, verifies, and attributes container manipulation tasks across three heterogeneous mobile manipulator platforms, demonstrating its generality and practical utility.

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📝 Abstract
Autonomous agents that perform everyday manipulation actions need to ensure that their body motions are semantically correct with respect to a task request, causally effective within their environment, and feasible for their embodiment. In order to enable robots to verify these properties, we introduce the Law of Task-Achieving Body Motion as an axiomatic correctness specification for body motions. To that end we introduce scoped Task-Environment-Embodiment (TEE) classes that represent world states as Semantic Digital Twins (SDTs) and define applicable physics models to decompose task achievement into three predicates: SatisfiesRequest for semantic request satisfaction over SDT state evolution; Causes for causal sufficiency under the scoped physics model; and CanPerform for safety and feasibility verification at the embodiment level. This decomposition yields a reusable, implementation-independent interface that supports motion synthesis and the verification of given body motions. It also supports typed failure diagnosis (semantic, causal, embodiment and out-of-scope), feasibility across robots and environments, and counterfactual reasoning about robot body motions. We demonstrate the usability of the law in practice by instantiating it for articulated container manipulation in kitchen environments on three contrasting mobile manipulation platforms
Problem

Research questions and friction points this paper is trying to address.

robot manipulation
task achievement
semantic correctness
causal effectiveness
embodiment feasibility
Innovation

Methods, ideas, or system contributions that make the work stand out.

Task-Achieving Body Motion
Semantic Digital Twin
Axiomatic Specification
Task-Environment-Embodiment (TEE)
Causal Sufficiency
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Malte Huerkamp
AICOR Institute for Artificial Intelligence, University of Bremen, Bremen, Germany
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Jonas Dech
AICOR Institute for Artificial Intelligence, University of Bremen, Bremen, Germany
Michael Beetz
Michael Beetz
Intitute for Artificial Intelligence, Computer Science Department, University of Bremen
cognitive roboticsAI-based Roboticsplan-based controlsemantic perceptionknowledge processing for Robots