Languages of Searches

The purpose of this chapter is to construct the Language of Translations for the alternating serial (AS) Complex Systems, the top-level language of the Hierarchy of Languages. Strings of this language represent search trees (Section 2.8). A substring that represents the optimal subtree is a solution to the given problem. This subtree reflects application of the one side’ s strategy with the best responses of the other side. The Language of Translations is constructed as a member of the Family of Languages of Reduced Searches. Procedures of evaluation of quality of trajectories and Zones, termination of branches, and tree inspection are introduced as parts of the Grammar of Translations.