Statement For each [ [context-free language]] there is a [ [pushdown automaton]] recognizing it, and for each pushdown automaton its language is context-free.

Chomsky hierarchy. Representation of automata and grammars, BNF. Deterministic and nondeterministic finite state automata. Regular expressions and languages. Pushdown automata. Context-free languages.

The algebraic properties of context-free grammars and languages are discussed in [5,8,13,14]. Several applications of formal grammars and languages and pushdown automata are considered in [8,15].

Context-Free Grammar: A type of formal grammar that can generate all possible strings in a given formal language, allowing for nested structures.

Recently, we introduced and investigated a colored variant of finite automata, so-called "colored finite automata." Its accepting states are able to be differently colored each and therefore a single ...