Given a regular grammar G and a list of strings, identify the strings that are in L(G). (1) Given G:S-> aS | bs | aTT-> bWW -> bXX-> ax | bX | €List the first eight elements of L(G) in lexicographic order (shortest first, then alphabetically if samelength).aaa, aaab, aabb, abaa, abbb, aaabb, aabba, aabbbaab, aaab, aaba, aabb, baab, aaaab, aaaba, aaabbabb, aabb, abba, abbb, babb, aaabb, aabba, aabbbO aba, aaba, abbb, abbb, baab, aabbb, aabbb, abbbb

S-> aS | bS | aT: This means that S can generate strings that start with ‘a’ or ‘b’, followed by…

Answered: Given a regular grammar G and a list of…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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Given a regular grammar G and a list of strings, identify the strings that are in L(G).

(1) Given G:
S-> aS | bs | aT
T-> bW
W -> bX
X-> ax | bX | €
List the first eight elements of L(G) in lexicographic order (shortest first, then alphabetically if same
length).
aaa, aaab, aabb, abaa, abbb, aaabb, aabba, aabbb
aab, aaab, aaba, aabb, baab, aaaab, aaaba, aaabb
abb, aabb, abba, abbb, babb, aaabb, aabba, aabbb
O aba, aaba, abbb, abbb, baab, aabbb, aabbb, abbbb

Expert Solution

Step 1: Understand the Grammar Rules The given grammar G has the following rules

S-> aS | bS | aT: This means that S can generate strings that start with ‘a’ or ‘b’, followed by any combination of 'a’s and 'b’s, or start with ‘a’ followed by ‘bw’.
T-> bw: This means that T generates the string ‘bw’.
W-> bx: This rule is not relevant as W is not referenced anywhere else in the grammar.
X-> ax | bX | ε: This rule is also not relevant as X is not referenced anywhere else in the grammar.

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