Let the terminal symbols T = { (, ), [, ], }. Give a CFG for the following langu

Question

Let the terminal symbols T = { (, ), [, ], }. Give a CFG for the following language PARNE2 defined inductively as: i. Î PARNE2 ii. If x is a string in PARNE2 then so are (x) and [x] iii. If x and y are both strings in PARNE2 then so is xy example strings in PAREN2 are (), [], [[]](), [()()], [[()(())][()]()] Let the terminal symbols T = { (, ), [, ], }. Give a CFG for the following language PARNE2 defined inductively as: i. Î PARNE2 ii. If x is a string in PARNE2 then so are (x) and [x] iii. If x and y are both strings in PARNE2 then so is xy example strings in PAREN2 are (), [], [[]](), [()()], [[()(())][()]()] Let the terminal symbols T = { (, ), [, ], }. Give a CFG for the following language PARNE2 defined inductively as: i. Î PARNE2 ii. If x is a string in PARNE2 then so are (x) and [x] iii. If x and y are both strings in PARNE2 then so is xy example strings in PAREN2 are (), [], [[]](), [()()], [[()(())][()]()]

Explanation / Answer

PARNE2 is given by:

S -> S S {covers point ii}
| O S C {covers point i}
O -> ( / [ / epsilon {covers point iii}
C -> ) / ] / epsilon{covers point iii}

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