Consider a context-free grammar G = ({0, 1}, {S, A, B}, S, P), where P is the set of productions: SAB S- - - OA | 1B | E 1S | OAA OS | 1BB a) Give a leftmost derivation of the string 0011. b) Give a rightmost derivation of the string 0011. c) Draw a parse tree for the string 1001. d) Can the string 1110 be derived from the grammar G? If yes, write down the associated derivation tree. If not, give a justification.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Consider a context-free grammar G = ({0, 1}, {S, A, B}, S, P), where P is the set of
productions:
SAB
S →
-
-
OA | 1B | E
1S | OAA
OS | 1BB
a) Give a leftmost derivation of the string 0011.
b) Give a rightmost derivation of the string 0011.
c) Draw a parse tree for the string 1001.
d)
Can the string 1110 be derived from the grammar G? If yes, write down the
associated derivation tree. If not, give a justification.
Transcribed Image Text:Consider a context-free grammar G = ({0, 1}, {S, A, B}, S, P), where P is the set of productions: SAB S → - - OA | 1B | E 1S | OAA OS | 1BB a) Give a leftmost derivation of the string 0011. b) Give a rightmost derivation of the string 0011. c) Draw a parse tree for the string 1001. d) Can the string 1110 be derived from the grammar G? If yes, write down the associated derivation tree. If not, give a justification.
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