| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9952169 | Journal of Logical and Algebraic Methods in Programming | 2018 | 42 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
José A. Alonso-Jiménez, Gonzalo A. Aranda-Corral, JoaquÃn Borrego-DÃaz, M. Magdalena Fernández-Lebrón, M. José Hidalgo-Doblado,