COT4210

Prof. Rene Peralta
Lecture 14.
  • Chomsky Normal Form.
  • The number of leaves of a binary tree of height n is at most 2 n .
  • Let G be a CFG in Chomsky Normal Form for the language L.
    Let n be the number of variables in G.
    Then any string z in L of length more than 2 n satisfies the
    Pumping Lemma for CFLs: there is a decomposition z = uvwxy
    such that uviwxiy belongs to L for all i greater than or equal to 0.