Error Detection in Digital Devices and Computer Programs with the Aid of Linear Recurrent Equations Over Finite Commutative Groups

A method is proposed for error detection in digital devices and computer programs calculating the values of functions f(x), where x ∈ G and G is a finite commutative group. For the case of network implementation of the method, "errors" are catastrophic structural failures; for the case of program implementation, they are errors in the text of the program.