Timothy Murphy wrote:

Following advice at this fount of learning
I bought a Bosch garden 1.8kW shredder at B&Q for 130 euro
(about 85 pounds),
and it has been performing very well.

Now I'm wondering if I can add the output to my wormery?
Will it convert within a finite time to compost?

Yes, it will, and its a good source of fibre, rather than any
particularly good fertilizer.

Best mixed with other stuff.

It does take a year or two to break down, but this is not a big issue if
its mixed.

It makes excellent mulch on beds too. Suppresses weeds well.