What is the pumping lemma for context-sensitive languages?

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What is the pumping lemma for context-sensitive languages?

The pumping lemma for context-sensitive languages states that for any context-sensitive language L, there exists a constant p (the pumping length) such that any string s in L with length |s| ≥ p can be divided into five parts, s = uvwxy, satisfying the following conditions:

1. |vwx| ≤ p: The length of vwx (the middle three parts) is less than or equal to the pumping length p.
2. |vx| ≥ 1: The length of vx (the middle part) is greater than or equal to 1.
3. For all i ≥ 0, the string uv^iwx^iy is also in L: Pumping any part of the string (v and x) any number of times (i) while keeping the other parts (u, w, and y) intact will still result in a string that belongs to L.