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Which of the following identity is wrong?

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Which of the following identity is wrong?

(a) R + R = R

(b) (R*)* = R*

(c) ƐR = Rɛ = R

(d) ØR = RØ = RR*

I have been asked this question in a job interview.

Origin of the question is Right Left Linear Grammar in section Contextfree Grammar and Syntax Analysis of Compiler

1 Answer

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Right answer is (d) ØR = RØ = RR*

The best explanation: Regular grammar combined with empty does not give R* instead gives empty.

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