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| RCC11复合表的表示 |
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李永明1, 李三江2
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1.陕西师范大学,计算机科学学院,陕西,西安,710062;2.清华大学,计算机科学与技术系,智能技术与系统国家重点实验室,北京,100084
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| 摘要: |
| 主要研究熟知的区域连接演算(region connection calculus,简称RCC)的关系代数方面的性质.证明了补闭圆盘代数恰好构成RCC11复合表的一个表示,其中,RCC11复合表是由D(u)ntsch于1999年引入的.补闭圆盘代数由两类区域构成:一类是实平面中的所有闭圆盘;另一类是实平面中的所有闭圆盘的补的闭包组成.而连接关系为经典的Whiteheadean连接,即对区域a,b,aCb(表示a,b有连接关系)当且仅当 a∩b≠? . |
| 关键词: 区域连接演算 连接关系代数 RCC11复合表 补闭圆盘代数 对偶关系集 扩张性 |
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| 基金项目:Supported by the National Natural Science Foundation of China under Grant Nos.10571112,60673105(国家自然科学基金);the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE,China(高等学校优秀青年教师教学科研奖励计划);the National Basic Research Program of China under Grant No.2002CB312200(国家重点基础研究发展计划(973)) |
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| Representation of RCC11 Composition Table |
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LI Yong-Ming,LI San-Jiang
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| Abstract: |
| This paper is mainly concerned with the relation-algebraic aspects of the well-known Region Connection Calculus (RCC).It is shown that the complemented closed disk algebra is a representation for the relation algebra determined by the RCC11 table,which was first described by Düntsch.The domain of this algebra contains two classes of regions,the closed disks and closures of their complements in the real plane,and the contact relation is the standard Whiteheadean contact(i.e.aCb iff a∩b≠? . |
| Key words: region connection calculus contact relation algebras RCC11 composition table complemented closed disk algebra dual-relation set extensionality |
