Question: Consider a language L= {a n b m c k |n+2m=k for n, m>=0} and perform the following tasks: Create a Context-Free Grammar (CFG) and

Consider a language L= {anbmck|n+2m=k for n, m>=0} and perform the following tasks:

  1. Create a Context-Free Grammar (CFG) and apply simplification rules.
  2. Convert the resultant grammar found in part a into Chomsky Normal Form (CNF).
  3. Generate the parse tree after testing the given string aabbbcccccccc.

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