In this paper, using cubic set, we introduce cubic language, regular cubic grammar, regular cubic language, finite state automata with cubic transitions, finite state automata with cubic final states, Myhill-Nerode theorem for cubic languages, and define an algorithm for minimization of finite state automata with cubic final state, and a programme in Matlab.

cubic language, regular cubic grammar, finite state automata, regular cubic expression, Myhill-Nerode theorem for cubic language.