FIT   100
© Copyright 1999-2000 University of Washington
Halting Problem
vImagine someone claims to have a program that tells whether another program halts or not
vtestHalt(programCode As String, data As String, answer As String)
vYou write a program as follows
Private Sub refuteClaim(programCode As String)
Dim ans As String
   Call testHalt(programCode, programCode, ans)
   If ans = “yes” Then
       Do While 0=0
       Loop
   End If
End Sub
testHalt(“Private Sub refuteClaim(…”, “Private Sub refuteClaim(…”, reply)
There can be no reply … “yes” implies “no”, “no” implies “yes”!
Text of your
test program
The claimed program cannot exist since a task can be set up for it for which all outputs are logically inconsistent