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Research on the Parallel Tractability of Knowledge Graph Reasoning based on Boolean Circuits

作     者:Zhangquan Zhou 

作者机构:School of Information Science and EngineeringNanjing Audit University Jinshen College Nanjing 211815China 

出 版 物:《Data Intelligence》 (数据智能(英文))

年 卷 期:2024年第6卷第3期

页      面:692-719页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:supported by The Natural Science Foundation of the Jiangsu Higher Education Institutions of China under grant number 22KJB520003.The project name is"Research on Representation and Reasoning of Knowledge Graphs based on Semantic Mapping" 

主  题:Knowledge graph Reasoning Parallel tractability Boolean circuit the NC complexity 

摘      要:Although neural methods have been comprehensively applied in different fields,symbolic based logic reasoning is still the main choice for numerous applications based on knowledge *** enhance the efficiency of knowledge graph reasoning,researchers studied how to design parallelalgorithms for reasoning,and take advantage of high-performance architectures,like neural *** parallel algorithms and architectures improve the performance of reasoning to some degree,the task of reasoning is essentially bounded by its computational complexity,i.e.,the PTiMe-Completeness or higher *** means that the task of reasoning is not parallelly *** this work,we investigate the parallel tractability of knowledge graph reasoning from the perspective of parallel *** concentrate on knowledge graphs that are Datalog *** aim to capture the parallelly tractable classes of knowledge graphs,for which,the task of reasoning falls in the NC *** this end,we employ the computational model of Boolean circuit to formalize knowledge graph reasoning and further obtain all the theoretical *** then use the results to analyze DHL(Description Horn Logic),a fragment of description *** give the properties that ensure the parallel tractability of DHL *** can utilize our results to check the parallel tractability of real knowledge *** addition,the Boolean circuits proposed in this paper can also be used to construct neural networks to perform knowledge graph reasoning.

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