Logical models for computer aided design and real time control

Logical models for computer aided design and modelling of dynamic systems in discrete time are considered. For a number of problems of man-machine design and control we open some new perspectives of dialogue control due to flexible combination of mechanisms of derivation of corollaries and synthesis of hypotheses. This is achieved by finding solutions of some logical equations in specially elaborated language and calculus. We deal with the dynamics of the objects considered by introducing the time variable and corresponding logical axiom modelling system's operation. The methods of automatic theorem proving and synthesis are described.