PROBLEM 3 The grammar GBp = ({(,)}, {S}, {S → () | SS | (S)},S) generates the language of nonempty balanced parentheses strings, that is, strings like () and (())(), but not A, ) and ((). 1. Use the rules of GBp to generate the string ())). Show clearly all the steps of the generation. 2. Using the grammar GBP as a guide, write a new grammar to generate the language of two types of nonempty balanced parentheses strings such as []() and [[]()]. The alphabet in this case is {(,), [, ]}.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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The grammar GBp = ({(,)}, {S}, {S → () | S | (S)},S) generates
PROBLEM 3
the language of nonempty balanced parentheses strings, that is, strings like () and (())(), but
not A, ) and (().
1. Use the rules of GBp to generate the string (OO). Show clearly all the steps of the generation.
2. Using the grammar GBP as a guide, write a new grammar to generate the language of two
types of nonempty balanced parentheses strings such as []() and [[]()]. The alphabet in
this case is {(, ) , [, ]}.
Transcribed Image Text:The grammar GBp = ({(,)}, {S}, {S → () | S | (S)},S) generates PROBLEM 3 the language of nonempty balanced parentheses strings, that is, strings like () and (())(), but not A, ) and ((). 1. Use the rules of GBp to generate the string (OO). Show clearly all the steps of the generation. 2. Using the grammar GBP as a guide, write a new grammar to generate the language of two types of nonempty balanced parentheses strings such as []() and [[]()]. The alphabet in this case is {(, ) , [, ]}.
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