If A A A is a context-free language, then there is a number p p p where, if s ∈ A s ∈ A s\in A of length at least p p p , then s s s may be divided into five pieces s = u v x y z s = u v x y z s = uvxyz satisfying the following condition

Question

If  A A A  is a context-free language, then there is a number  p p p  where, if  s ∈ A s ∈ A s\in A   of length at least  p p p , then  s s s  may be divided into five pieces  s = u v x y z s = u v x y z s = uvxyz  satisfying the following condition

Answer

for  i ≥ 0 , i ≥ 0 , i\geq 0,   u v i x y i z ∈ A u v i x y i z ∈ A \,\, uv^ixy^iz \in A

Answer

for  i ≥ 0 , i ≥ 0 , i\geq 0,   u v x i y z ∈ A u v x i y z ∈ A \,\, uvx^iyz \in A

Answer

for  i ≥ 0 , i ≥ 0 , i\geq 0,   v i x y i ∈ A v i x y i ∈ A \,\, v^ixy^i \in A

Answer

for  i ≥ 0 , i ≥ 0 , i\geq 0,   u v i x i y i z ∈ A u v i x i y i z ∈ A \,\, uv^ix^iy^iz \in A

Crowdly

If A A A is a context-free language, then there is a number p p p where, if ...

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