Correctness criteria for algebraic closures of the estimate-calculating algorithm model

A study was conducted to determine the correctness criteria for algebraic closures of the estimate-calculating algorithm (ECA) model. The study found a correct algorithm of minimal power complexity in a special form and criteria for the realization of a particular classification of a control sample. The study constructed a metric containing the entire information on the algebraic closures of the models. An estimate-calculating algorithm was represented as a composite of a recognition operator and a decision rule. The study defined the linear closure of recognition operators, as the set of all linear combination of operators and the algebraic closure of degree k, as the set of polynomials of degrees of k in operators form.