KEFE RG: Relational Grammar - State-Bearing Continuation, Conditional Trivalence, and Directed Event Composition

KEFE RG provides the structural admission layer of the KEFE technical publication suite. It develops a history-bearing relational grammar that separates candidate generation, admissibility testing, same-sector evolution, and structure-changing events. Within a declared pairwise graph branch, the paper derives mature trivalent counting and the unique smallest expanding endpoint . A directed event , carrying three matched past–future relations and a common closure, supports ordered composition while distinguishing admission from state transfer. The resulting framework specifies exact structural constraints and falsifiers without presupposing a metric, action, probability law, spectrum, or physical trajectory.