Thanks for the replies! Answers:
> He poured floor levelling compound directly onto a plastic sheet?
Yes. I didn't know how it's done, I trusted that he knows how to do the job. He claimed to have lots of experience and showed pictures etc.
> How old is the house?
Around 90 years. Is it normal that floors aren't damp proofed in houses of the 1930s?
> Possibly the starting point was you asking for the impossible.
That may very well be, I'm a customer and not an expert in the flooring business, but then I'd expect him to tell me that it's impossible, right? He just said "sure, no problem".
> If you have old concrete floors with no DPM (as we have) then, if you want a modern perfectly dry floor you need to pay to remove and replace it, as we are only in selected rooms.
Thanks, that's good to know.
> It's way too late to start worrying about it now, you didn't have this thought at the outset or during the work so paying up is your only option. It sounds like you're more interested in not paying than you are in whether the work is OK or not.
I think I explained quite clearly what I want and I believed that he's a reputable builder who knows what he's doing. It's definitely possible that I was asking for the impossible or that what I was asking for would have been a lot of work, but then I would have expected him to tell me exactly this. Instead, he just did something and the result isn't pretty. The floor itself is better than before, but it's ironically less level than it was, and he charges me 4000 for levelling alone (this is an extra charge in addition to the actual floor laying which I already paid). So, yes, of course I'm not keen on paying him the additional charge for levelling when it's not level. But it's not only that, since the floor is less level than it was before, it wouldn't be unreasonable to do the whole thing again. If at least the damp proofing is ok, then maybe it can stay as it is for now, but if that's also an issue, then there isn't much point in keeping it as it is, right? That's why I am asking how bad it is to not have a DPM. But since you're saying that old concrete floors in old houses just don't have DPM's, it might not be so bad after all?