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Graph-Memoized Reasoning: Foundations Structured Workflow Reuse in Intelligent Systems

2025/11/11 by Yash Raj Singh, Singh, Yash Raj · 1 voice
Computer Science · #Advanced Graph Neural Networks #Artificial Intelligence (cs.AI) #Explainable Artificial Intelligence (XAI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Multimodal Machine Learning Applications #cs.AI #cs.LG

paper · pdf · doi:10.48550/arxiv.2511.15715

openalex publication_date 2025/11/11 · arxiv published 2025/11/11 · arxiv updated 2025/11/11 · openalex created_date 2025/11/23 · openalex updated_date 2026/07/28

Abstract

Modern large language model-based reasoning systems frequently recompute similar reasoning steps across tasks, wasting computational resources, inflating inference latency, and limiting reproducibility. These inefficiencies underscore the need for persistent reasoning mechanisms that can recall and reuse prior computational traces. We introduce Graph-Memoized Reasoning, a formal framework for representing, storing, and reusing reasoning workflows as graph-structured memory. By encoding past decision graphs and retrieving them through structural and semantic similarity, our approach enables compositional reuse of subgraphs across new reasoning tasks. We formulate an optimization objective that minimizes total reasoning cost regularized by inconsistency between stored and generated workflows, providing a theoretical foundation for efficiency-consistency trade-offs in intelligent systems. We outline a conceptual evaluation protocol aligned with the proposed optimization objective. This framework establishes the groundwork for interpretable, cost-efficient, and self-improving reasoning architectures, offering a step toward persistent memory in large-scale agentic systems.

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