α-PARAMODULATION FOR LATTICE-VALUED LOGIC WITH EQUALITY

被引:0
作者
He, Xingxing [1 ]
Xu, Yang [1 ]
Liu, Jun [2 ]
Zhong, Xiaomei [1 ]
机构
[1] Southwest Tiaotong Univ, Intelligent Control Dev Ctr, Chengdu 610031, Sichuan, Peoples R China
[2] Univ Ulster, Sch Comp & Math, Ulster, North Ireland
来源
DECISION MAKING AND SOFT COMPUTING | 2014年 / 9卷
基金
中国国家自然科学基金;
关键词
Lattice-valued logic; Equality; alpha-Paramodulation; Automated reasoning; RESOLUTION PRINCIPLE;
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
Aiming to handle logical formulae with equality in lattice-valued logic, this paper focuses on alpha-paramodulation for lattice-valued logic with equality. Firstly, the axioms of equality and their related properties in lattice-valued logic are presented. Then the concept of alpha-paramodulation is given, which is the essential rule for processing logical formulae with equality. Finally, the soundness of alpha-paramodulation is established.
引用
收藏
页码:86 / 91
页数:6
相关论文
共 16 条
[1]  
[Anonymous], 1969, MACHINE INTELLIGENCE
[2]  
[Anonymous], 2013, 23 INT JOINT C ART I
[3]  
[Anonymous], 2003, STUD FUZZINESS SOFT
[4]   BASIC PARAMODULATION [J].
BACHMAIR, L ;
GANZINGER, H ;
LYNCH, C ;
SNYDER, W .
INFORMATION AND COMPUTATION, 1995, 121 (02) :172-192
[5]   Paramodulation with Non-Monotonic Orderings and Simplification [J].
Bofill, Miquel ;
Rubio, Albert .
JOURNAL OF AUTOMATED REASONING, 2013, 50 (01) :51-98
[6]  
Brand D., 1975, SIAM Journal on Computing, V4, P412, DOI 10.1137/0204036
[7]   Machine Learning for First-Order Theorem Proving Learning to Select a Good Heuristic [J].
Bridge, James P. ;
Holden, Sean B. ;
Paulson, Lawrence C. .
JOURNAL OF AUTOMATED REASONING, 2014, 53 (02) :141-172
[8]   Binary resolution over complete residuated Stone lattices [J].
Guller, Dusan .
FUZZY SETS AND SYSTEMS, 2008, 159 (09) :1031-1041
[9]  
He X.X., 2012, J IGPL, V20, P579
[10]   α-Lock resolution method for a lattice-valued first-order logic [J].
He, Xingxing ;
Xu, Yang ;
Liu, Jun ;
Ruan, Da .
ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2011, 24 (07) :1274-1280