Locally Coherent, Globally Incoherent: Bounding Compositional Incoherence in Multi-Component LLM Agents

Multi-agent LLM systems face a fundamental coherence crisis: individual components can each satisfy probability constraints while their combined output violates basic axioms. This paper formalizes the gap via a runtime-computable metric and proposes deterministic repair via hierarchical projection. The work addresses a critical failure mode in production agent architectures where local validity masks global inconsistency, directly impacting reliability of systems that coordinate reasoning across specialized LLM modules.
Modelwire context
ExplainerThe paper's most underappreciated contribution is not the repair mechanism itself but the proof that coherence violations are undetectable by inspecting components in isolation, meaning existing monitoring and testing pipelines that validate each agent module separately are architecturally blind to this failure class.
This connects directly to the thread Modelwire has been tracking around what happens inside multi-component LLM systems when individual modules behave correctly but their interactions don't. The 'Unlocking the Working Memory of Large Language Models for Latent Reasoning' coverage from the same day is relevant here: RiM decouples reasoning from token output within a single model, while this paper addresses the analogous decoupling problem across models in a pipeline. Both papers are, at root, about the gap between local correctness and system-level behavior. The LLMSurgeon piece adds a complementary angle: if you can't audit training data composition from the outside, and you also can't audit inter-agent coherence from component outputs alone, the opacity compounds at every layer of a production stack.
Watch whether any of the major agent orchestration frameworks (LangGraph, AutoGen, CrewAI) incorporate runtime coherence checking within the next two release cycles. Adoption there would signal the field treating this as an engineering requirement rather than a theoretical concern.
Coverage we drew on
This analysis is generated by Modelwire’s editorial layer from our archive and the summary above. It is not a substitute for the original reporting. How we write it.
MentionsLLM agents · multi-component systems · Boyle-Dykstra projection · e-process
Modelwire Editorial
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