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Knowledge-grounded dialog systems need to incorporate smooth transitionsamong knowledge selected for generating responses, to ensure that dialog flowsnaturally. For document-grounded dialog systems, the inter- and intra-documentknowledge relations can be used to model such conversational flows. We developa novel Multi-Document Co-Referential Graph (Coref-MDG) to effectively capturethe inter-document relationships based on commonsense and similarity and theintra-document co-referential structures of knowledge segments within thegrounding documents. We propose CorefDiffs, a Co-referential and Differentialflow management method, to linearize the static Coref-MDG into conversationalsequence logic. CorefDiffs performs knowledge selection by accounting forcontextual graph structures and the knowledge difference sequences. CorefDiffssignificantly outperforms the state-of-the-art by 9.5\%, 7.4\%, and 8.2\% onthree public benchmarks. This demonstrates that the effective modeling ofco-reference and knowledge difference for dialog flows are critical fortransitions in document-grounded conversation

CorefDiffs: Co-referential and Differential Knowledge Flow in Document Grounded Conversations