An algebraic model of the subsystem for the computer generation of elimination operation

A brief analysis of the known methods of non-algebraic and algebraic descriptions of algorithms has been presented. The features of the elimination operation being a term of the algorithm algebra have been shown. An algebraic model of the computer generation of the elimination operation has been synthesized by means of the algorithm algebra. The model has been implemented with the help of software on the platform Microsoft Visual Studio.NET. The models of subsystem as a graph and a diagram of sequences have been designed as well.