On the construction of a predicate truth set

We provide an approach to constructing a predicate truth set, which we refer to as unlocking of predicate. The approach reduces the problem of searching for a predicate truth set to searching for a set of fixed points of some mappings (hereinafter “unlocking mappings”). Unlocking of predicate gives an extra opportunity to analyze the truth set and to build its elements with desired properties. In this paper, we outline how to build unlocking mappings for some general types of predicates: we give a formal definition of the predicate unlocking operation, rules for the construction and calculation of unlocking mappings and their basic properties. As an illustration, we routinely construct unlocking mappings for predicates “be a Nash equilibrium” and “be non-anticipating mapping”; then on this basis we provide expressions for corresponding truth sets.