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Another language I would add to this list is the ATS Language¹. First released in 2013, it tries to follow closer to performance and minimalism of C which can make it a good candidate for systems level programming.
¹http://www.ats-lang.org
I'm the author of one of the open source NZ vaccination passport libs. I'm pretty familiar with the specification and afaik I know theres no use of ZKP's. Its a fairly standard public/private key cryptography. Happy to be proven wrong though!
Here's the spec: https://nzcp.covid19.health.nz/ and our implementation https://github.com/vaxxnz/nzcp-js
The documentation isn't that great, but the implementation is here:
https://github.com/minvws/nl-covid19-coronacheck-idemix
We use IDEMIX to create a unique proof per display of the QR code. So you cannot track a person as they use their QR code (if you have control of a network of scanner apps).