What is the significance of the pumping lemma for context-sensitive languages with two tapes and two heads in automata theory?

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What is the significance of the pumping lemma for context-sensitive languages with two tapes and two heads in automata theory?

The pumping lemma for context-sensitive languages with two tapes and two heads in automata theory is significant because it helps in proving that certain languages are not context-sensitive. It states that for any context-sensitive language L, there exists a pumping length p such that any string s in L with length greater than or equal to p can be divided into five parts u, v, x, y, and z, satisfying certain conditions. By applying the pumping lemma, if these conditions cannot be satisfied, it can be concluded that the language is not context-sensitive. This lemma provides a useful tool for language classification and understanding the limitations of context-sensitive languages.