摘要
Based on the theory of the structure of the computable mathematical function, the operator of the software process, algo- rithm 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.
Based on the theory of the structure of the computable mathematical function, the operator of the software process, algo- rithm 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.
基金
Supported by the National High Technology Research and Development Program of China (863 Program)(2002AA111010, 2003AA00103)
