Compost heaps are essential for your garden, whether that's a no-dig garden or a regular garden, the benefits are enormous!
I have two compost heaps, one a frame I built out of an old cot, with a piece of old carpet on the top, kept in the front garden, adjacent to the no-dig area.
The other compost heap is the trusty, back garden & black plastic composter, which provides compost for the fruit trees and tubs in the recycled greenhouse. Think tomato and pepper plants.

First off, compost to buy, is shooting up in price. Most of the time, it's rubbish.
Secondly, I need a way of disposing of uncooked waste, including fruit and veg that's not been used. My plan for say, a couple of old bananas is to bake more, but while the kitchen's all over the place, composting is a way of reusing the waste.
Grass cuttings feed the fruit trees. When the tub is full, then that's where they go.

In the no-dig front garden, a similar story.
Laughing neighbours when I built the rectangle shaped compost heap, weighed down by carpet and bricks, is a bit fiddly to uncover, but is proving to be a much needed booster to feeding the no-dig garden.
I left the front compost heap back in March, moving to the back garden compost.
In June, after laying a huge cardboard box flat, under the covers, I opened it all up to try and put something back into the bed.
I shoveled out one side of the semi-black, garden and food waste compost pile, across on to the no-dig bed.
I got easily approaching a tonne of compost from just one half of the compost heap!

I raked it level, then recovered it over, ready for next year. Loads of worms and ready for just after frost seeds, once it has rotted some more.
Some people say I should bury the waste directly in the ground?
I now know that this is good for unused eggs that are starting to turn.

The remaining half of the no-dig bay now has the onion seedlings I started off in the composted seed trays out the back garden.
I learned that onions are frost resistant. Put month old seedlings into the ground in October and next spring you'll have onions and salad onions (spring onions to you and me.)

The amount of waste now, combined with the log burner to incinerate the packaging, is cutting our waste going to landfill by over half a wheelie bin per week.
The compost is feeding the growing and beds, for free!