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Four from Compiler Science:

  1. Does a program ever access an uninitialized variable.
  2. Do two context free grammars describe the same langauge.
  3. Does it make a difference if parameters to a subroutine are passed by reference or by copy-result
  4. Deadlock determination in parallel programs.

Actually almost every question of the form "Does a program ever do X?" is equivalent to the halting probelm. So the above might be considered too close the the halting problem to be interesting answers ot this question.