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Given = ( + cup + ) + and = ( + ) a ) Give an example of a string that is neither

Given =
(
+\cup
+)
+
and =(
+)
a) Give an example of a string that is neither in the language of R nor in S.[2 marks]
b) Give an example of a string that is in the language of S but not R.[2 marks]
c) Give an example of a string that is in the language of R but not S.[2 marks]
d) Give an example of a string that is in the language of R and S.[2 marks]
e) Design a regular expression that accepts the language of all binary strings with no
occurrences of 001.[3 marks]
f) Design a regular expression that accepts the language of all binary strings which their length
is odd with no occurrences of 11.[3 marks]

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