A Semantical Analysis of Second-Order Propositional Modal Logic

被引:0
作者
Belardinelli, F. [1 ]
van der Hoek, W. [2 ]
机构
[1] Univ Evry, Lab IBISC, Evry, France
[2] Univ Liverpool, Liverpool, Merseyside, England
来源
THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE | 2016年
关键词
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper is aimed as a contribution to the use of formal modal languages in Artificial Intelligence. We introduce a multi-modal version of Second-order Propositional Modal Logic (SOPML), an extension of modal logic with propositional quantification, and illustrate its usefulness as a specification language for knowledge representation as well as temporal and spatial reasoning. Then, we define novel notions of (bi)simulation and prove that these preserve the interpretation of SOPML formulas. Finally, we apply these results to assess the expressive power of SOPML.
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页码:886 / 892
页数:7
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