###
DOI:
Journal of Software:2009.20(3):477-490

描述逻辑εLN 循环术语集的不动点语义及推理
蒋运承,王驹,史忠植,汤庸
(广西师范大学 计算机科学与信息工程学院,广西 桂林 541004;中山大学 计算机科学系,广东 广州 510275;中国科学院 计算技术研究所,北京 100190)
Fixpoint Semantics and Reasoning of Terminological Cycles in Description Logic εLN
JIANG Yun-Cheng,WANG Ju,SHI Zhong-Zhi,TANG Yong
()
Abstract
Chart / table
Reference
Similar Articles
Article :Browse 3992   Download 3702
Received:November 10, 2006    Revised:October 25, 2007
> 中文摘要: 循环术语集是描述逻辑长期以来的研究难点,其最基本的问题即语义及推理问题没有得到合理的解决.分析了描述逻辑循环术语集的研究现状和存在的问题,将Baader 的工作扩展到新的方向.针对更大的描述逻辑系统研究了循环术语集的语义及推理机制,即在描述逻辑εL 的基础上添加数量约束构造算子,提出了描述逻辑εLN,给出了εLN 的语义(包括不动点语义和描述语义).针对εLN 的需要,重新定义了描述图(包括语法描述图和语义描述图).使用描述图之间的模拟关系给出了不动点语义下εLN 循环术语集的可满足性和包含关系推理算法,并证明了推理算法是多项式时间复杂的.
Abstract:Terminological cycles have been a very hard problem in description logics for a long time, and their essential problems, i.e. semantics and reasoning problems, have not been solved reasonably. Current research progress and the existing problems of terminological cycles in description logics are analyzed in this paper. Based on the work of Baader, a new direction in terminological cycles is put forward. Aiming at more expressive description logic, the semantics and reasoning mechanism of terminological cycles are studied. The number restrictions are added to description logic εL, and the descripion logic εLN is presented. The semantics (fixpoint semantics and descriptive semantics) of εLN are given. To meet the requirement of εLN, the description graphs (syntax description graph and semantics description graph) are redefined. The satisfiability and subsumption reasoning algorithms of terminological cycles in description logic εLN w.r.t. fixpoint semantics are presented with simulation between description graphs. It is proved that the satisfiability and subsumption reasoning algorithms of terminological cycles in εLN are polynomial.
文章编号:     中图分类号:    文献标志码:
基金项目:Supported by the National Natural Science Foundation of China under Grant Nos.60663001, 60673135, 60373081, 60573010 (国家自然科学基金); the National Basic Research Program of China under Grant No.2003CB317004 (国家重点基础研究发展计划(973)); thePostdoctoral Science Foundation of China under Grant No.20060400226 (中国博士后科学基金); the Natural Science Key Foundation of Guangdong Province of China under Grant No.04105503 (广东省自然科学重点基金); the Program for New Century Excellent TalentsinUniversity of China (新世纪优秀人才支持计划); the Natural Science Foundation of Guangxi Province of China under GrantNos.0640030, 0832103 (广西自然科学基金) Supported by the National Natural Science Foundation of China under Grant Nos.60663001, 60673135, 60373081, 60573010 (国家自然科学基金); the National Basic Research Program of China under Grant No.2003CB317004 (国家重点基础研究发展计划(973)); thePostdoctoral Science Foundation of China under Grant No.20060400226 (中国博士后科学基金); the Natural Science Key Foundation of Guangdong Province of China under Grant No.04105503 (广东省自然科学重点基金); the Program for New Century Excellent TalentsinUniversity of China (新世纪优秀人才支持计划); the Natural Science Foundation of Guangxi Province of China under GrantNos.0640030, 0832103 (广西自然科学基金)
Foundation items:
Reference text:

蒋运承,王驹,史忠植,汤庸.描述逻辑εLN 循环术语集的不动点语义及推理.软件学报,2009,20(3):477-490

JIANG Yun-Cheng,WANG Ju,SHI Zhong-Zhi,TANG Yong.Fixpoint Semantics and Reasoning of Terminological Cycles in Description Logic εLN.Journal of Software,2009,20(3):477-490