The shows "all exist in the same universe and follow the same running narrative, coming together to form a serialised stand-up mini-series".
All four titles will be published by the US-based streaming platform globally on Tuesday 27th March, as part of a mini-series collection entitled Repertoire.
Writing on Twitter, the comic added: "Amazing work by everyone involved & I'm very excited for the world to see what we've made."
In an interview with British Comedy Guide last year, Acaster explained of presenting a group of shows together: "I'm very sentimental and once I'd finished the final show I felt like I wanted to present them all as a trilogy because that's how I view them. I also wanted to mess around with them a bit as a whole rather than individual shows, try and tie them together a bit more.
"There are routines in all three shows that I am changing and improving. There are certainly things that I'm changing now because certain routines aren't in keeping with who I am as comic in 2017."
He added: "I honestly do view them as a whole rather than individual shows."
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