Thank you for contacting us.
The FA are responsible for the laws of the game and should be able to clarify the exact ruling for you, but it is our understanding that if the match is abandoned then the Clubs and the Board must then agree a date for the rearranged fixture to be played.
The FA can be contacted at the details below should you wish to contact them directly;
http://www.thefa.com/feedback/
Kind regards,
Communications Team
So then I contacted the FA. Here's their response:
Thank you for your email. This would be dependent on the competition rules, so in this case you would need to contact the Premier League.
Kind regards
The Premier League
So it turns out that the Premier League would've asked the FA, and the FA would've asked the Premier League. Great. I'm still none the wiser.