A Tableau Calculus for Regular Grammar Logics with Converse

被引:0
|
作者
Nguyen, Linh Anh [1 ]
Szalas, Andrzej [1 ]
机构
[1] Univ Warsaw, Inst Informat, PL-02097 Warsaw, Poland
来源
AUTOMATED DEDUCTION - CADE-22 | 2009年 / 5663卷
关键词
EXPTIME TABLEAUX;
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
We give a sound and complete tableau calculus for deciding the general satisfiability problem of regular grammar logics with converse (REG(c) logics). Tableaux of our calculus are defined as "and-or" graphs with global caching. Our calculus extends the tableau calculus for regular grammar logics given by Gore and Nguyen [11] by using a cut rule and existential automaton-modal operators to deal with converse. We use it to develop an ExPTIME (optimal) tableau decision procedure for the general satisfiability problem of REG(c) logics. We also briefly discuss optimizations for the procedure.
引用
收藏
页码:421 / 436
页数:16
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