arXiv:2510.15514v1 Announce Type: new Abstract: However, this method often faces judgment inconsistencies that can destabilize reinforcement learning. While prior research has focused on the accuracy of judgments, the critical issue of logical coherence especially issues such as preference cycles hasn't been fully addressed. To fill this gap, we introduce a comprehensive framework designed to systematically detect and resolve these inconsistencies during the reinforcement learning training process. Our framework includes two main contributions: first, the Conflict Detection Rate (CDR), a new metric that quantifies judgment conflicts, and second, Deconflicted Graph Rewards (DGR), a framework that purifies signals by removing cycles before policy optimization. DGR constructs preference graphs from the initial judgments, transforms them into conflict-free Directed Acyclic Graphs (DAGs), and generates a logically coherent reward signal that is compatible with any policy optimizer. Experimental results show that our framework significantly enhances training stability and model performance compared to strong baselines, establishing logical consistency as a crucial and now manageable dimension of AI feedback.