A detailed exposition of foundations of a logic-algebraic model for reasoning
with knowledge bases speci ed 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.Ministerio de Economía y Competitividad TIN2013-41086-
