Experience in Performing Analytical Calculations Using Algebraic Model of Constructive Logic in Medicine and Biology

Abstract

This paper describes the experience of analytical calculations in medicine and biology using the mathematical apparatus of algebraic model of constructive logic, created with Russia in 1983. Basically it is a model intuitionism calculus, displaying the inductive part of the thinking - formulation of a relatively small set of summary of the information arrays of large dimension. The initial data to build the model is a table. Each row in this table is treated as a case in which the values of the factors are listed in the form of any numeric value, and the result of their exposure. The resulting model is represented by a set of the resulting components as factors indicating the detection limits, combined mark conjunction (pointing to the joint effect). Each resulting component characterized by the capacity, which is the essence of the number of rows in the table that meet the specified limits of the determining factors in their joint action defined by algebraic model of constructive logic. Optimality is demonstrated by a comparison with a dead-end disjunctive form, as not allowing further simplification in the synthesis of combinational logical schema. The algorithm has the potential partial avoidance of the impact of hidden variables that are slowly evolve over time.
 
 The stages of the analysis, including the building of the expert system, are demonstrated and also the ways of further improvement of the algorithm are specified. An algebraic model of constructive logic of their capabilities is not inferior to neural network algorithms for analytical capabilities, convenient in use and doesn´t require the training phase. An algebraic model of constructive logic is fundamentally different from many well-known algorithms including neural network algorithms. Its use along with other allows to reach greater confidence in the assessment of the results.