induce PCFG grammar from the tree bank data. Assuming yourself to be Mr. P implement the above problem.

# extract productions from three trees and induce the PCFG
print("Induce PCFG grammar from treebank data:")

productions = []
for item in treebank.fileids()[:2]:
  for tree in treebank.parsed_sents(item):
    # perform optional tree transformations, e.g.:
    tree.collapse_unary(collapsePOS = False)# Remove branches A-B-C into A-B+C
    tree.chomsky_normal_form(horzMarkov = 2)# Remove A->(B,C,D) into A->B,C+D->D
    productions += tree.productions()