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If you’ve got the material/compost/manure, just pile it up on the beds you want to have as no-dig.
In an ideal world but if your soil is home to tough perennial 'weeds' such as couch grass , horsetail, bindweed etc it doesn't always work and often requires years of patience by which time people can become a bit disillusioned with the idea.
Mind you rotavating land riddled with perennial 'weeds' just cuts them up and spreads them around.
Sounds a little incongruous. If you’ve got the material/compost/manure, just pile it up on the beds you want to have as no-dig.
https://charlesdowding.co.uk/faqs/