One way is to create two oneshot flags off the two inputs & use them to set a flag, the scenario is that the oneshots will only be on for one scan together if both buttons are pressed at the same time (before all you lot say it) "providing these are during the same scan or update of inputs"
As the oneshots are only on for one scan if the stop button pressed a few ms after the start then the flag will not be set
not sure what plc you are using but most have some sort of oneshot function
i.e.
A I0.0 ons F10.0
A I0.1 ons F10.1
A F10.0
A F10.1
S F10.2
something else reset F10.2