When the previous typesetter states "with pedal", what exactly does this mean?

[Kenneth Wolcott]

HI;

  When the previous typesetter states "with pedal",  what exactly does
this mean?

  I think it means "hold the sustain pedal from the beginning all the
way through to the end".

  But it could mean that the sustain pedal should be used in all cases
that it makes sense to the performer.

  In this case, what should be done to make the midi sound correct?

Thanks,
Ken Wolcott