Logical foundations of group traffic control of trains

We show an application of the methods of mathematical logic to the design of a control system for group movement of trains for a railway station. We develop a typical lifecycle of a route (route design, assembly, control over the movement of a train along the route, disassembling the route) that guarantees safe group movement of trains at a station. We construct the model of a route in the form of a logical passability function and the model of a railway station in the form of a logical diagram. Based on these models, we find the set of potentially feasible station routes, states of railroad switches and route traffic lights. We define different relationships between routes: compatible, incompatible, alternative.