次协调的模态逻辑

将次协调模糊推理方法推广到模态逻辑,提出次协调的模态逻辑,其逻辑推理关系是次协调模糊蕴含的模态推广,既可处理不一致信息,又可表示多世界模型.给出了次协调模态逻辑的正确而且完备的Gentzen型推理系统.     

Modal Change Logic (MCL): Specifying the reasoning of knowledge-based systems

We investigate the formal specification of the reasoning process of knowledge-based systems in this paper. We analyze the corresponding parts of the KADS specification languages KARL and (ML)² and deduce some general requirements. The essense of these languages is that they integrate a declarative specification of inferences with control information. The languages differ in the way they achieve this integration and each of them has shortcomings. We propose a unifying semantical framework that integrates the core of the different solutions and overcomes their problems. We define a semantics and axiomatization with the Modal Change Logic (MCL). The main contribution of the paper is not to introduce yet another specification language. Instead we aim at four goals: (1) defining a framework for describing the dynamic reasoning behavior of knowledge-based systems which integrates existing approaches; (2) defining a semantics for the specification of the dynamic reasoning behavior of a knowledge-based system within the states as algebras setting that overcomes several shortcomings and ad hoc solutions of existing approaches; and (3) providing an axiomatization that enables the development of mechanized proof support. (4) Through conceptual and semantical clarity, we investigate the relationships to similar work in software engineering and database engineering opening possibilities for further cross-fertilization of these fields.     

From Coalition Logic to STIT

STIT is a logic of agency that has been proposed in the nineties in the domain of philosophy of action. It is the logic of constructions of the form “agent a sees to it that φ”. We believe that STIT theory may contribute to the logical analysis of multiagent systems. To support this claim, in this paper we show that there is a close relationship with more recent logics for multiagent systems. We focus on Pauly's Coalition Logic and the logic of the cstit operator, as described by Horty. After a brief presentation of Coalition Logic and a discrete-time version (including a next operator) of the STIT framework, we introduce a translation from Coalition Logic to the discrete STIT logic, and prove that it is correct.     

Modal Logic over Finite Structures

We investigate properties of propositional modal logic over the classof finite structures. In particular, we show that certain knownpreservation theorems remain true over this class. We prove that aclass of finite models is defined by a first-order sentence and closedunder bisimulations if and only if it is definable by a modal formula.We also prove that a class of finite models defined by a modal formulais closed under extensions if and only if it is defined by a -modal formula.     

基于模态缺省理论的多Agent系统的知识更新

基于模态缺省理论，建立多Agent系统的模态缺省逻辑，给出了每个主体 对应的模态缺省理论 的新知识和知识冲突的概念及其意义，主要讨论在多Agent环境下，当一个Agent的知识不足以完成推理时，可以从其它Agent处获得新的知识，从而对自身的信念集进行更新。当Wi发生变化(如遇到新的知识或出现与原信念集冲突的知识)时扩充Ei的性质和变化规律，提出了获取新扩充的较简单的求解方法，并证明了相关的定理，给出了多Agent系统的关于知识的一个动态描述过程。     

现代模态逻辑在计算机科学中的应用研究

现代模态逻辑是在经典数理逻辑基础上发展起来的,主要包括狭义模态逻辑、道义逻辑、认知逻辑、信念逻辑、时态逻辑与动态逻辑。克里普克语义模型的建立,使得模态逻辑成为现代逻辑的重要分支之一,并成功应用到数学、经济学、社会科学、计算机科学和量子力学等众多领域。介绍了现代模态逻辑研究的主要内容,重点综述了现代模态逻辑在计算机科学的程序设计语言、知识表示与多代理系统以及模型检测、定理机器证明和非单调逻辑5个方面的应用,阐述了现代模态逻辑在计算机科学领域的研究目标、研究进展和发展趋势,最后指出现代模态逻辑研究中存在的问题,并预测其未来可能的研究与发展方向。