The present invention is directed to a rubber composition that is useful for the manufacture of tires, where the composition is based on a diene elastomer, a reinforcing inorganic filler, and a coupling system. The coupling system comprises a polysulfurized alkoxysilane ("PSAS") coupling agent (inorganic filler/diene elastomer) associated with an aldimine having the general formula R—CHN—R and a guanidine derivative. The present invention is further directed to tires and semi-finished products for tires comprising a rubber composition according to the invention. The invention is also directed to a coupling system (inorganic filler/diene elastomer) for a rubber composition based on a diene elastomer reinforced by an inorganic filler, where the coupling system comprises a polysulfurized alkoxysilane (PSAS) coupling agent in association with an aldimine having the general formula R—CHN—R and a guanidine derivative.