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. (3) S-> aSS -> bsS -> EO €, a, b, aa, ab, ba, bb, aaa, aab, aba and L is regular€, a, b, aa, ab, ba, bb, aaa, aab, aba and L is not regularO a, b, aa, ab, ba, bb, aaa, aab, aba, abb and L is regularO a, b, aa, ab, ba, bb, aaa, aab, aba, abb and L is not regular

(3) S-> aS S-> bs S-> € O €, a, b, aa, ab, ba, bb, aaa, aab, aba and L is regular O e, a, b, aa, ab, ba, bb, aaa, aab, aba and L is not regular O a, b, aa, ab, ba, bb, aaa, aab, aba, abb and L is regular O a, b, aa, ab, ba, bb, aaa, aab, aba, abb and L is not regular

(3) S-> aS S-> bs S-> € O €, a, b, aa, ab, ba, bb, aaa, aab, aba and L is regular O e, a, b, aa, ab, ba, bb, aaa, aab, aba and L is not regular O a, b, aa, ab, ba, bb, aaa, aab, aba, abb and L is regular O a, b, aa, ab, ba, bb, aaa, aab, aba, abb 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.

(3) S-> aS
S -> bs
S -> E
O €, a, b, aa, ab, ba, bb, aaa, aab, aba and L is regular
€, a, b, aa, ab, ba, bb, aaa, aab, aba and L is not regular
O a, b, aa, ab, ba, bb, aaa, aab, aba, abb and L is regular
O a, b, aa, ab, ba, bb, aaa, aab, aba, abb and L is not regular

Expert Solution

Step 1: Introduction

A regular language is a language that can be expressed with a regular expression or a deterministic or non-deterministic finite automata or state machine.

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