Does 'Set work item to obsolete' also kill background process?

[Kouw, FA - SPLTX]

Hi,
 
Is there anyone who can answer the following question: does a process
control step that sets a work item (background task) to obsolete (after
a latest end has been reached) also 'kill' the background process
started by the background task?
 
I use this construction to create a dialog work item in case automatic
processing in the background task takes too long and thus also want to
'kill' the process (= program called from my method) started.
 
Regards,
 
Fred Kouw
 
 
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