Description of the study: an open prospective comparative monocentric pilote study, randomised in three groups which investigates the efficiency of a 6 months-cognitive rehabilitation program on improving asymptomatic or minor cognitive disorder for undetectable HIV+ patients. This study gathers HIV-1 patients undetectable under stable cART with a good cerebral penetration who develop asymptomatic or minor cognitive disorders connected to HIV infection. Those who have severe psychiatric disorder or who are on medication that could interfere with psychometrical tests will be excluded.