Break point - Haleppublished at 05:32 Greenwich Mean Time 30 January 2020
Halep 1-0 Muguruza*
Halep keeps coming back at Muguruza and forces her long.
Break point.
Novak Djokovic beats Roger Federer in first men's semi-final
2019 champion Djokovic fights back to win first set tie-break
Serbian dominates from there to win 7-6 (7-1) 6-4 6-3
Federer needed medical timeout at end of first set
Dominic Thiem and Alexander Zverev meet in second semi-final on Friday
Watch highlights on BBC Two from 15:15 GMT
Garbine Muguruza & Sofia Kenin reach women's final
Amy Lofthouse and Emma Sanders
Halep 1-0 Muguruza*
Halep keeps coming back at Muguruza and forces her long.
Break point.
Jonathan Jurejko
BBC Sport at Melbourne Park
Still teetering on the edge of 5.0 on the Australian Open heat scale.
Currently reading 4.9. If it ticks over one more then play can be suspended and the Laver roof closed.
Halep 1-0 Muguruza*
Very nice from Halep, who whips a backhand pass as Muguruza comes to the net. Muguruza then moves Halep around the court in a rally and puts away the backhand.
Halep gets fortunate with a net tip and moves up to 30-15. The quality has already been better than the last semi-final. This is going to be good...
Halep 1-0 Muguruza*
Pretty good start from Halep, who doesn't show the same signs of nerves we saw from Ashleigh Barty.
Muguruza responds with a thumping forehand winner down the line but Halep holds with a big serve out wide.
*Halep 0-0 Muguruza
Off we go!
*Denotes the server.
Halep v Muguruza
Muguruza did not look a contender for the title when, afflicted by illness, she lost her first set at this year's tournament 6-0 to American Shelby Rogers.
She has improved dramatically since then though. Fifth seed Elina Svitolina and ninth seed Kiki Bertens were beaten in straight sets in the previous two rounds and 30th seed Anastasia Pavlyuchenkov Pavlyuchenkova went the same way on Wednesday with defeat to Muguruza.
It's the Spaniard's first Grand Slam semi-final since the 2018 French Open.
"I'm excited to play my first semi-final here," said Muguruza. "I've known her [Halep] for quite a long time so it's going to be a tough match."
Halep v Muguruza
Who will take on Sofia Kenin in the final?
Wimbledon champion and fourth seed Simona Halep is the favourite, going up against two-time Grand Slam champion Garbine Muguruza.
Spaniard Muguruza is eyeing her first Grand Slam final since 2017 at Wimbledon.
Waving the flag.
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So there we have it. Sofia Kenin, who is the youngest Australian Open finalist in 12 years, will face the winner of the next semi-final between Simona Halep and Garbine Muguruza.
We're just going to have a quick break but don't go anywhere. That match is up next. In the meantime, here is the developing report on Kenin's victory over Ashleigh Barty.
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Barty 6-7 (6-8) 5-7 Kenin
Sofia Kenin speaking to Eurosport: "She's such a tough player. I knew I needed to find a way to win. This wasn't an easy one but I'm just so grateful and thankful for this moment.
"I'm just so speechless. I've dreamed about this moment since I was five years old. I have worked so hard to get here so thanks to everyone, my dad and everyone back home. Thank you guys!
Kenin gestures to her father in the box - 'I can't believe it!'
"She [Barty] came up with some really great shots. It was tough. I knew she wasn't going to give it up. I needed to fight out there.
On her potential final opponent: "I'm not even going to look. I'm just going to relax, enjoy this moment and whoever it is going to be, it is going to be a great final."
Barty 6-7 (6-8) 5-7 Kenin
Barty heads straight off the court after a quick wave to the crowd. It just didn't happen for her today - her nerves were uncontrollable.
Barty 6-7 (6-8) 5-7 Kenin
Incredible. Barty's forehand falls over the baseline. 21-year-old American Sofia Kenin is into her first Grand Slam final.
What a result! The world number one and home favourite is out. Rod Laver is stunned.
*Barty 6-7 (6-8) 5-6 Kenin
WOW. Barty needed that! A huge cross-court winner.
One more match point.
*Barty 6-7 (6-8) 5-6 Kenin
Double-fault. A wide forehand. 30-0 to Kenin.
Barty responds with a brilliant forehand winner but then skews the next one over the line.
That's two match points for Kenin!
*Barty 6-7 (6-8) 5-6 Kenin
A few big Australian names in the crowd. Rebel Wilson has spent most of it with her head in her hands but is still enjoying herself.
She'll want Barty to take this to a third set though.
*Barty 6-7 (6-8) 5-6 Kenin
The crowd cheer encouragement for Barty as Kenin bounds in between points and races to 40-0. She's pumped.
Big backhand into the corner seals a hold to love. The American has finally found some form at a crucial moment.
Jonathan Jurejko
BBC Sport at Melbourne Park
Anguished cries from the Laver crowd after Barty dumps that drive forehand volley into the net.
So tight on some crucial points, the world number one.
Needs all the backing and more she is getting from the home fans.
Barty 6-7 (6-8) 5-5 Kenin*
Oh nooooooooooo.
Kenin reaches the forehand, pokes it up into the air and with the volley set for Barty to thump into the open court, she smashes it into the net.
We're level again in the second set. Wow!
*Barty 6-7 (6-8) 5-4 Kenin
Stunning cross-court winner from Kenin, who roars with determination. Another break point!
*Barty 6-7 (6-8) 5-4 Kenin
Kenin's backhand drops wide. JUST.
Deuce again.