The theory of （n） truth degrees of formulas is proposed in modal logic for the first time. A consistency theorem is obtained which says that the （n） truth degree of a modality-free formula equals the truth degree ...The theory of （n） truth degrees of formulas is proposed in modal logic for the first time. A consistency theorem is obtained which says that the （n） truth degree of a modality-free formula equals the truth degree of the formula in two-valued propositional logic. Variations of （n） truth degrees of formulas w.r.t. n in temporal logic is investigated. Moreover, the theory of （n） similarity degrees among modal formulas is proposed and the （n） modal logic metric space is derived therefrom which contains the classical logic metric space as a subspace. Finally, a kind of approximate reasoning theory is proposed in modal logic.展开更多
Global property is the necessary condition which must be satisfied by the provable formulas. It can help to find out some unprovable formula that does not satisfy some global property before proving it using formal au...Global property is the necessary condition which must be satisfied by the provable formulas. It can help to find out some unprovable formula that does not satisfy some global property before proving it using formal automated rea-soning systems, thus the efficiency of the whole system is improved. This paper presents some global properties of valid formulas in modal logic K. Such prop-erties are structure characters of formulas, so they are simple and easy to check.At the same time, some global properties of K unsatisfiable formula set are also given.展开更多
本文研究了各种级别Petri网与模态逻辑之间的关系.Petri网的Enlogy是研究这些关系的基础.状况(case)和可达(Reachability)概念已经成功地用于以条件/事件(Condition/Event,简称C/E)网作知识表示.本文引用上述两个概念,使位置/变迁(Place...本文研究了各种级别Petri网与模态逻辑之间的关系.Petri网的Enlogy是研究这些关系的基础.状况(case)和可达(Reachability)概念已经成功地用于以条件/事件(Condition/Event,简称C/E)网作知识表示.本文引用上述两个概念,使位置/变迁(Place/Transition,简称P/T)网和高级Petri网(High Level Petri Net,简称HLPN)可作知识表示.为了增强以 HLPN网作知识表示的能力,我们引用了状况变量和等价状况变量的概念.文中我们还以例子说明这些方法是可用的和有效的.展开更多
At first,this paper introduces the last results of knowledge presenting and reasoning,basic conception and research methods of nonmonotony. Then,we enlarge ability to express knowledge in semantic network language,and...At first,this paper introduces the last results of knowledge presenting and reasoning,basic conception and research methods of nonmonotony. Then,we enlarge ability to express knowledge in semantic network language,and put forward knowledge presenting way of modal logic. Finally,we provide arithmetic of modal logic reason.展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos. 10331010 and 10771129)the Foundation of 211 Constructionof Shaanxi Normal University
文摘The theory of （n） truth degrees of formulas is proposed in modal logic for the first time. A consistency theorem is obtained which says that the （n） truth degree of a modality-free formula equals the truth degree of the formula in two-valued propositional logic. Variations of （n） truth degrees of formulas w.r.t. n in temporal logic is investigated. Moreover, the theory of （n） similarity degrees among modal formulas is proposed and the （n） modal logic metric space is derived therefrom which contains the classical logic metric space as a subspace. Finally, a kind of approximate reasoning theory is proposed in modal logic.
文摘Global property is the necessary condition which must be satisfied by the provable formulas. It can help to find out some unprovable formula that does not satisfy some global property before proving it using formal automated rea-soning systems, thus the efficiency of the whole system is improved. This paper presents some global properties of valid formulas in modal logic K. Such prop-erties are structure characters of formulas, so they are simple and easy to check.At the same time, some global properties of K unsatisfiable formula set are also given.
基金the National Natural Science Foundation of China under Grant Nos.60573063,60573064the National Basic Research Program of China under Grant Nos.G1999032701,2003CB317008+1 种基金the National Laboratory of Intelligent Information Processing of Chinathe National Laboratory of Software Development Environment of China~~
文摘本文研究了各种级别Petri网与模态逻辑之间的关系.Petri网的Enlogy是研究这些关系的基础.状况(case)和可达(Reachability)概念已经成功地用于以条件/事件(Condition/Event,简称C/E)网作知识表示.本文引用上述两个概念,使位置/变迁(Place/Transition,简称P/T)网和高级Petri网(High Level Petri Net,简称HLPN)可作知识表示.为了增强以 HLPN网作知识表示的能力,我们引用了状况变量和等价状况变量的概念.文中我们还以例子说明这些方法是可用的和有效的.
文摘At first,this paper introduces the last results of knowledge presenting and reasoning,basic conception and research methods of nonmonotony. Then,we enlarge ability to express knowledge in semantic network language,and put forward knowledge presenting way of modal logic. Finally,we provide arithmetic of modal logic reason.
