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Prove or disprove each of the following statements about regular expressions.

  1. $(R+S)^{*}=R^{*}+S^{*}$
  2. $(RS+R)^{*}R=R(SR+R)^{*}$
  3. $(RS+R)^{*}RS=(RR^{*}S)^{*}$
  4. $(R+S)^{*}S=(R^{*}S)^{*}$
  5. $S(RS+S)^{*}R=RR^{*}S(RR^{*}S)^{*}$
in Theory of Computation by Veteran (59.1k points)
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