The description of program system LOREG is represented. The system can be used for the solution of the tasks of pattern recognition, diagnostics, forecasting, and is based on the search of logical regularities by training information. The logical regularity is defined as special predicate (conjunctions of elementary predicates that define intervals of feature value variations) in multidimensional feature space that is satisfied over training objects of some class and does not satisfied for training objects of other classes. The system LOREG could being applied for diagnostics, recognition, forecasting, and classification problem solution in medicine, politic, sociology, physics, chemistry, technology, economics, geology, business, finances.