Institute of Computing Technology, Chinese Academy IR
The sound and complete R-calculus for revising propositional theories | |
Li Wei1; Sui YueFei3; Sun MeiYing2,3 | |
2015-09-01 | |
发表期刊 | SCIENCE CHINA-INFORMATION SCIENCES |
ISSN | 1674-733X |
卷号 | 58期号:9页码:12 |
摘要 | The AGM postulates are for the belief revision ( revision by a single belief), and the DP postulates for the iterated revision ( revision by a finite sequence of beliefs). Li gave an R- calculus for R- configurations Delta vertical bar Gamma, where Delta is a set of atomic formulas or the negations of atomic formulas, and Gamma is a finite set of formulas. In this paper, two deduction systems for the revision of a theory by another theory are given such that the systems are sound and complete, that is, if Delta|Gamma double right arrow Gamma' is provable then Gamma' superset of Delta is consistent and Gamma' - Delta is a maximal subset of Gamma such that (Gamma' - Delta)boolean OR Delta is consistent; and for any finite theories. and G, there is a finite theory Gamma' such that Gamma' - Delta is a maximal subset of G such that (Gamma' - Delta) boolean OR Delta is consistent, and Delta|Gamma double right arrow Gamma' is provable. Moreover, if Delta vertical bar Gamma double right arrow Gamma' is provable then Gamma' satisfies the AGM and the DP postulates. |
关键词 | belief revision R-calculus minimal change the AGM postulates the DP postulates |
DOI | 10.1007/s11432-014-5188-3 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | Open Fund of the State Key Laboratory of Software Development Environment, Beihang University[SKLSDE-2010KF-06] ; National Basic Research Program of China (973 Program)[2005CB321901] |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Information Systems |
WOS记录号 | WOS:000359801900014 |
出版者 | SCIENCE PRESS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.204/handle/2XEOYT63/9403 |
专题 | 中国科学院计算技术研究所期刊论文_英文 |
通讯作者 | Sun MeiYing |
作者单位 | 1.Beihang Univ, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Li Wei,Sui YueFei,Sun MeiYing. The sound and complete R-calculus for revising propositional theories[J]. SCIENCE CHINA-INFORMATION SCIENCES,2015,58(9):12. |
APA | Li Wei,Sui YueFei,&Sun MeiYing.(2015).The sound and complete R-calculus for revising propositional theories.SCIENCE CHINA-INFORMATION SCIENCES,58(9),12. |
MLA | Li Wei,et al."The sound and complete R-calculus for revising propositional theories".SCIENCE CHINA-INFORMATION SCIENCES 58.9(2015):12. |
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