Introduction to linguistic geometry tools: selected topics

Linguistic geometry (LG) includes a mathematical model and a set of formal tools for knowledge representation and reasoning about multiagent discrete pursuit-evasion games. This paper is a brief survey of formal tools. It covers formal issues related to complex systems, languages of trajectories and networks. New issues of distance measurement in the state space essential for construction of winning strategies within the no-search approach in LG are also included. Trajectory generating techniques for the agents moving with a constant speed are considered at the end of this paper