(4) S-> as S-> aSbS S-> € O €, a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba and L is regular. O €, a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba and L is not regular. a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba, aabb and L is regular. a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba, aabb and L is not regular.

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
Problem 1PE
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Let >= {a,b}. For the language L defined by each of the following grammars, list the first ten
elements of L in lexicographic order (shortest first, then alphabetically if same length), and then
indicate whether or not L is regular.
Transcribed Image Text:Let >= {a,b}. For the language L defined by each of the following grammars, list the first ten elements of L in lexicographic order (shortest first, then alphabetically if same length), and then indicate whether or not L is regular.
(4) S -> aS
S-> aSbS
S-> €
E, a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba and L is regular.
€, a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba and L is not regular.
a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba, aabb and L is regular.
a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba, aabb and L is not regular.
Transcribed Image Text:(4) S -> aS S-> aSbS S-> € E, a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba and L is regular. €, a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba and L is not regular. a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba, aabb and L is regular. a, aa, ab, aaa, aab, aba, aaaa, aaab, aaba, aabb and L is not regular.
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