Automata Theory Questions
The purpose of the pumping lemma for context-sensitive languages in automata theory is to provide a tool for proving that a language is not context-sensitive. It states that if a language L is context-sensitive, then there exists a constant p (the pumping length) such that any sufficiently long string w in L can be divided into five parts, u, v, x, y, and z, satisfying certain conditions. These conditions allow for the repetition or removal of the middle part, v and y, while still maintaining the language L. If these conditions cannot be satisfied, then the language L is not context-sensitive.