Question: 6) Let L be a regular language. Show that the following languages are regular. a) The set P = {u|uv L} of prefixes of L.

6) Let L be a regular language. Show that the following languages are regular. a) The set P = {u|uv L} of prefixes of L. b) The set L R = {w R|w L} of reversals of L.

Show how to build the required DFAs and prove that your method works.

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