ＢＤＩ（信念、期望和意图）逻辑是当前ａｇｅｎｔ理论研究的热点课题之一，相关研究工作较少涉及对ａｇｅｎｔ间通信的描述．文章旨在提出一个能表示和推理多ａｇｅｎｔ间基于言语行为理论的通信行为的扩展ＢＤＩ逻辑．该逻辑是一个多类、带量词并具有分枝时序结构的一阶多模态逻辑，除了包含标准ＢＤＩ逻辑的模态和时态算子之外，还引入了一些必要的逻辑算子和构造符，用于刻画ａｇｅｎｔ为实现其意图而具有的规划能力，以及对多ａｇｅｎｔ通信给出正确的语用解释．文章讨论了逻辑的语法和语义，并对言语行为进行了逻辑分类和解释 The logic of BDI (Faith, Expectation and Intention) is one of the hot topics in the research of current agent theory. The related research work rarely involves the description of the communication among agents. The purpose of this paper is to propose an extended BDI logic that can represent and reason the communication behavior based on speech act theory among multiple agents. The logic is a multi-class, multi-class first-order multi-modal logic with quantification words and branching timing structure, in addition to the modal and temporal operators that contain the standard BDI logic, introduces some necessary logic operators and constructs It is used to depict the planning ability that an agent has in order to fulfill its intentions and to give the correct pragmatic explanation of multi-agent communication. The article discusses the syntax and semantics of logic, and conducts a logical classification and interpretation of speech acts