Question: 1. Consider the grammar G given by S ? ? | AB | XB T ? AB | XB X ? AT A ? a

1. Consider the grammar G given by

S ? ? | AB | XB

T ? AB | XB

X ? AT

A ? a

B ? b

Is w = aaabbb in L(G)? Using CKY Algorithm to decide if w is in L(G). A CKY Triangular Table is shown in Table 1.

a

a

a

b

b

b

CKY Triangular Table

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