A logic-algebraic tool for reasoning with Knowledge-Based Systems

被引:8
|
作者
Alonso-Jimenez, Jose A. [1 ]
Aranda-Corral, Gonzalo A. [2 ]
Borrego-Diaz, Joaquin [1 ]
Magdalena Fernandez-Lebron, M. [3 ]
Jose Hidalgo-Doblado, M. [1 ]
机构
[1] Univ Seville, ETS Ingn Informat, Dept Ciencias Comp & Inteligencia Artificial, Avda Reina Mercedes Sn, E-41012 Seville, Spain
[2] Univ Huelva, Dept Informat Technol, Crta Palos de La Frontera S-N, Palos de La Frontera 21819, Spain
[3] Univ Seville, Dept Matemat Aplicada, ETS Ingn Informat, Avda Reina Mercedes Sn, E-41012 Seville, Spain
关键词
Polynomial semantics; Symbolic computing; Automated deduction; Knowledge-Based Systems; EXPERT-SYSTEMS; PROPOSITIONAL LOGIC; INDEPENDENCE; DIAGNOSIS;
D O I
10.1016/j.jlamp.2018.09.001
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A detailed exposition of foundations of a logic-algebraic model for reasoning with knowledge bases specified by propositional (Boolean) logic is presented. The model is conceived from the logical translation of usual derivatives on polynomials (on residue rings) which is used to design a new inference rule of algebro-geometric inspiration. Soundness and (refutational) completeness of the rule are proved. Some applications of the tools introduced in the paper are shown. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:88 / 109
页数:22
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