Question

Convert the following context free grammar G to Chomsky normal form. G:S → AB A → aAb|B2 B → BA2

Answer 1

* Given Gis+ AB А-7 aAь | | BY BAIX A CFG is in chomsky normal form if the productions are in the following forms – . Ata A →BC S +€ cohere A,B,C are non-terminals and á is terminal. Given Grammar Gad s+ AB A aAb 1819 BY BAN Start symbol S does not appear on the right hand side of the production, so let production STAB NO AA AB/B/2 can be written as A JC) OFIBA

where Ja CAL 0 FAX 8~BAIDF L-D coming to the production, B-BAI, its already in CNF form except null production at the end. Nell production can be replaced from the procluction. so it 3 can be cwritten co . B+BA|DF :. where D are in the form of CNE Now, all the productions 67AB A → JCIOFI BA B+ BA OF Ja C+AL f+a 1 70