Recursive decomposition of software process

Based on the theory of the structure of the computable mathematical function, the operator of the software process, algorithm structure and architecture are defined mathematically in this paper. With the expression of combinational functions, the mathematical definition of the decomposition of operator and its operation is discussed. Finally, the mathematical formula of the decomposition of operator-operator recursive decomposition formula is established. While focusing on solvable problems, the concept of the computing prototype tree and its formula proposed in this paper has generality.