Algorithm for solving polisillogizm in the orthogonal basis by calculating the constituent sets

The article explains the need for orthogonal basis of syllogistics as an alternative to the basis of Aristotle and the need for the choice of extended algebra of sets as a tool for solving problems instead of logic algebra. An algorithm for constructing all possible classes of interpretations of solutions in terms of sets of finite measure has been formulated. Computer simulations to solve the classic tasks of Buhl, Schroeder, Poretsky have been conducted. At the same time additional results to existing solutions have been received.