FROM CONTEXT FREE GRAMMAR ,AUTOMATAN

This language can be described by the following grammar:

S ::= 0^a 1^b 0^c

X ::= 0X1

Y ::= 1Y0

Z ::= 0Z

Step-by-step explanation

• S ::= 0^a 1^b 0^c. This rule states that a string in the language can be made up of the characters 0, 1, and 0, followed by the characters a, b, and c, where a, b, and c are all different numbers.
• X ::= 0X1. This rule states that a string in the language can be made up of the character 0 comes first, then followed by character 1, followed by any number of 0's. In other words, a string in the language can be made up of the character 0 comes first, then followed by character 1, followed by any number of 1's.
• Y ::= 1Y0. This rule states that a string in the language can be made up of the character 1 comes first, then followed by character 0, followed by any number of 0's. In other words, a string in the language can be made up of the character 1 comes first, then followed by character 0, followed by any number of 0's.
• Z ::= 0Z. This rule states that a string in the language can be made up of the character 0 comes first, then followed by character 0, followed by any number of 0's. In other words, a string in the language can be made up of the character 0 comes first, then followed by character 0, followed by any number of 0's.