Earlier quoted context omitted.
They rely on the fact that the double spenders are easy to find and punish.
So security is maintained using violence? Not technology?
It's a centralized system, and every account holder is fully identified to the government (even with DNA samples IIRC). The kiosks likely keep the logs and upload them when a connection can be made. Then the data get collected and compared centrally, and any discrepancy would show up. At least that's how I understand the "batch processing" remark in the wiki page.