Let >= [a, b]. For the language L defined by each of the following grammars, list the first tenelements of L in lexicographic order (shortest first, then alphabetically if same length), and thenindicate whether or not L is regular. (1) S -> aSS -> SbS-> €O e, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is regularO €, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is not regularO a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba and L is regularO a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba and L is not regular

Answer is given below with explanation

(1) S -> aS S->Sb S-> € O e, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is regular O e, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is not regular O a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba and L is regular O a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba and L is not regular

(1) S -> aS S->Sb S-> € O e, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is regular O e, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is not regular O a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba and L is regular O a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba 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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Question

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.

(1) S -> aS
S -> Sb
S-> €
O e, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is regular
O €, a, b, aa, ab, bb, aaa, aab, abb, bbb and L is not regular
O a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba and L is regular
O a, b, aa, ab, bb, aaa, aab, abb, bbb, bbba and L is not regular

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