Consider the language 'Pal' consisting of all palindromes over alphabet ∑={0,1}.
Which of the following statements is true?
A
Every finte subset of Pal is regular
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B
Every infinte subset of Pal is non-regular
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C
Every infinte superset of Pal is non-regular
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D
Pal is non-regular
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Solution
The correct option is D Pal is non-regular Option (a, d)
Pal is standard non-regular but CFL language. Consider the infinite subset 0* of pal, it is regular and consider the infinite superset ∑* of pal, it is regular. Every finite language is always regular.