5 The production rules for a grammar G with start symbol S, terminals a, b, and c and non-terminals X, Y, and Z is given below: S + XY X + a|YZ Y + b|ZX z - cjXY G: a) Show that G generates bacab (i.e., that s bacab). b) Is G a regular grammar? Explain. c) Is G a type 2 (context free) grammar? Explain. 6 Show that if A is a regular language, then the complement of A is also regular. (We can denote the complement of A as A- A = {r |z ¢ A}.)
5 The production rules for a grammar G with start symbol S, terminals a, b, and c and non-terminals X, Y, and Z is given below: S + XY X + a|YZ Y + b|ZX z - cjXY G: a) Show that G generates bacab (i.e., that s bacab). b) Is G a regular grammar? Explain. c) Is G a type 2 (context free) grammar? Explain. 6 Show that if A is a regular language, then the complement of A is also regular. (We can denote the complement of A as A- A = {r |z ¢ A}.)
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
![5 The production rules for a grammar G with start symbol S, terminals a, b, and c and non-terminals X, Y, and Z
is given below:
G:
XY
a |YZ
6| ZX
e| XY
Y
a) Show that G generates bacab (i.e., that S bacab).
b) Is Ga regular grammar? Explain.
c) Is G a type 2 (context free) grammar? Explain.
6 Show that if A is a regular language, then the complement of A is also regular. (We can denote the complement of
A as A= A° = {r|z¢ A}.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9134c255-a2be-4530-8da1-a6d66778d97d%2F15ec0683-5b26-4e30-ab85-69cbd8fee8bb%2Flpp0aem_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5 The production rules for a grammar G with start symbol S, terminals a, b, and c and non-terminals X, Y, and Z
is given below:
G:
XY
a |YZ
6| ZX
e| XY
Y
a) Show that G generates bacab (i.e., that S bacab).
b) Is Ga regular grammar? Explain.
c) Is G a type 2 (context free) grammar? Explain.
6 Show that if A is a regular language, then the complement of A is also regular. (We can denote the complement of
A as A= A° = {r|z¢ A}.)
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