Diffusion in social networks is a result of agents’ natural desires to conform to the behavioral patterns of their peers. In this article we show that the recently proposed “propositional opinion diffusion model” could be used to model an agent’s conformity to different social groups that the same agent might belong to, rather than conformity to the society as whole. The main technical contribution of this article is a sound and complete logical system describing the properties of the influence relation in this model. The logical system is an extension of Armstrong’s axioms from database theory by one new axiom that captures the topological structure of the network.

中文翻译：

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社交网络中的群体一致性

社交网络中的扩散是代理自然希望符合同龄人行为模式的结果。在本文中，我们展示了最近提出的“命题意见扩散模型”可用于模拟一个代理对同一代理可能所属的不同社会群体的服从，而不是对整个社会的服从。本文的主要技术贡献是建立了一个完善且完整的逻辑系统，描述了该模型中影响关系的属性。逻辑系统是数据库理论中阿姆斯壮公理的扩展，通过一个新的公理捕获网络的拓扑结构。