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If L1 is regular L2 is unknown but L1-L2 is regular ,then L2 must be

Question

If L1 is regular L2 is unknown but L1-L2 is regular ,then L2 must be

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Solution

The language L2 could be either regular or non-regular. The regularity of L1 and L1-L2 does not provide enough information to determine the regularity of L2.

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