Suppose that A and B are languages such that A o B is regular. Suppose that B is regular. Prove or disprove that A is regular.
I am having a tough time with questions relating to proving a language as regular. Please help.
Suppose that A and B are languages such that A o B is regular. Suppose that B is regular. Prove or disprove that A is regular.
I am having a tough time with questions relating to proving a language as regular. Please help.
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I'll give you a strong hint:
Think what happens when a language $L$ is concatenated with $\Sigma^*$.