I'm not an arborist but my approach would be to cut it back as far as a possible, then to saw the trunk close to the ground. Paint a brush-b-gon (woody plant) type weed killer on the freshly cut surface. If the weed killer does not work and it starts sprouting, I have successfully killed tree stumps by drilling holes in the top and then pouring a copper sulfate/sulphate (CuSO4) solution in. CuSO4 is sold here in the US as a root killer (pour crystals in your drain, and it keeps tree roots in check without killing the tree); in the UK we used it in High School a lot as it was a very visible (bright blue) and relatively benign salt.
Once dead, the roots will slowly decompose on their own. A tree stumper could be hired, but a 10cm trunk seems a bit small for such an investment and getting under the concrete would be impossible without lifting the concrete.