Title: "A schema-based version of Geiringer theorem for Genetic Programming" Abstract: I shall briefly introduce the classical Geiringer theorem of 1944 and the later version established in 2003 by Stephens, Poli, Wright and Rowe. Then I will explain my own generalization of this theorem for a wide class of evolutionary algorithms and show the version for non-linear genetic programming with homologous crossover which is the subject of the paper I recently submitted to GECCO-2004.