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2tvfa language acceptable by time-variant automata and grammars AUTOMATA AND TIME-VARIANT automaton class of languages class of time-variant constant output function constant transition function context-free grammars control sets Corollary define Definition deterministic tvpda e-free homomorphism empty word equivalence class exists a tvcsm finite nonempty set finite set g grammar G grammars by slightly grammars with control homomorphism h input word languages acceptable Lemma Let G linear bounded automata machines or finite modifying G nondeterministic Notations one-way finite automata positive integer proof of Theorem pushdown recognize all languages recursively enumerable right end right linear grammar Salomaa Section set of final Setsuo ARIKAWA studies on grammars t-regular set Theorem 3.1 time-variant automata time-variant finite automata time-variant grammars time-variant right linear Time-variant sequential machines time-variant structure tvfa tvfa's tvrlg G tvrlg of type two-way finite automata type 8 grammar type a language type g usual time-invariant word nonterminal