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Summary

  1. Williams beats Kvitova 6-3 3-6 7-6 (7-2) to reach semi-finals
  2. Roof closed during second set on Arthur Ashe Stadium
  3. Stephens beats Sevastova 6-3 3-6 7-6 (7-4) to make last four
  4. Carreno Busta beats Schwartzman 6-4 6-4 6-2 to make men's semis

Live Reporting

By Alex Bysouth and Mike Henson

All times stated are UK

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  1. Until next time...

    So Venus Williams will face compatriot Sloane Stephens in the semi-final, meaning at least one American is guaranteed a place in Saturday's final.

    But with Madison Keys and Coco Vandeweghe also through to the last eight, there is the prospect of an all-American semi-final line-up.

    There's another men's quarter-final to come tonight, as Sam Querrey faces Kevin Anderson, but it's bed time for us.

    We'll be back tomorrow from 17:00 BST for Vandeweghe against Karolina Pliskova, before the small matter of Roger Federer and Juan Martin del Potro.

    We'll catch you then.

  2. Enjoy the battle - Williams

    Williams 6-3 3-6 7-6 (7-2) Kvitova

    More from Venus Williams, who is the second of potentially four American women into the semi-finals: "I would love the top four, five to be that (American) again. That would be huge.

    "When situations get hairy and it's crazy out here, I try to tell myself to enjoy the competition and enjoy the battle."

  3. 'I hope we have more matches like that'

    Williams 6-3 3-6 6-6 (7-2) Kvitova

    That was really something.

    Petra Kvitova waves goodbye to the crowd and heads down the tunnel towards the locker room.

    Venus Williams takes to the mic: "I have to say I felt every single one of you guys behind me, all 23,000. I didn't want to let you guys down.

    "Everything she has gone through is unbelievable. It's wonderful to see her back and playing. I was so excited to see her playing well, to be able to play her. I hope we have more matches like that."

    Venus Williams and Petra Kvitova
  4. Post update

    Jeff Tarango

    Former professional tennis player on 5 live sports extra at Flushing Meadows

    Kvitova played a great match but Williams was just too good in that tie-breaker

  5. Game, set and match

    Williams 6-3 3-6 7-6 (7-2) Kvitova

    That's it. Petra Kvitova's return drops wide and it's Venus Williams who makes the semi-final.

    What a match. Venus sits back in her chair and smiles, she deserves it.

    Venus Williams of the United States celebrates
  6. Tie-break

    Williams 6-3 3-6 6-6 (6-2) Kvitova

    Williams double faults!

  7. Tie-break

    Williams 6-3 3-6 6-6 (6-1) Kvitova

    Deep breath, but a whole lot of net for Kvitova on her first serve... and on the second.

    Match point Williams. Five of them.

  8. Tie-break

    Williams 6-3 3-6 6-6 (5-1) Kvitova*

    Forehand long - oh so long - from Petra Kvitova. It's slipping away from the Czech.

  9. Tie-break

    *Williams 6-3 3-6 6-6 (4-1) Kvitova

    Kvitova needs something on Williams' serve. The first is wide, the second pushes the Czech wide and Williams wins the rally.

  10. Tie-break

    *Williams 6-3 3-6 6-6 (3-1) Kvitova

    Superb down the line forehand from Venus curves in - Kvitova can't get that back.

  11. Tie-break

    Williams 6-3 3-6 6-6 (2-1) Kvitova

    Another big serve from Kvitova and an even bigger passing backhand... but that's long, what a return from Williams.

  12. Tie-break

    Williams 6-3 3-6 6-6 (1-1) Kvitova*

    Williams nets the return. 1-1.

  13. Tie-break

    *Williams 6-3 3-6 6-6 (1-0) Kvitova

    It's Venus first up. She steadies herself and then cracks a quicken into the net.

    Take two. That reaches its destination but can't beat Kvitovam but the Czech goes long.

  14. Post update

    Jeff Tarango

    Former professional tennis player on 5 live sports extra at Flushing Meadows

    After all this time, all this effort, we're going into a tie-breaker. This is where you have to put away the pain, put away the doubt and just swing.

  15. Kvitova holds

    *Williams 6-3 3-6 6-6 Kvitova

    We're going to a tie-break...

  16. Post update

    Jeff Tarango

    Former professional tennis player on 5 live sports extra at Flushing Meadows

    I think Venus likes the quick pace between points.

  17. Post update

    Williams 6-3 3-6 6-5 Kvitova*

    Petra Kvitova, serving to stay in the match for a second time.

    Williams musters a response to the big Czech serve and engages Kvitova in a rally that the American comes out on top in. But the veteran can only guide her next return beyond the baseline.

    It's breathtaking stuff as Kvitova continually clings on, before Venus finds the net. 30-15.

  18. Williams holds

    Williams 6-3 3-6 6-5 Kvitova*

    Fault. Let. Second serve. Pressure on for Venus.

    She tosses one skywards, then changes her mind. Kvitova fires a punishing return back when the serve finally arrives, but it's long.

    Williams holds.

    Venus Williams of the United States looks on
  19. Post update

    Jeff Tarango

    Former professional tennis player on 5 live sports extra at Flushing Meadows

    This is high quality tennis, there hasn't been an error in three and a half games.

  20. Post update

    *Williams 6-3 3-6 5-5 Kvitova

    Amid all the fantastic strokes and perfectly-placed returns, it's a net ball that hands Venus the chance to take control of her service game.

    She doesn't need a second invitation to slam a forehand deep beyond the grasp of Kvitova.

    But the American overcooks a similar attempt moments later, dragging a backhand wide.