I don't think there's a question about whether the goals can be met so much as a lack of uptake of methods and tools that meet them. Uptake and improvement on their capabilities, that is. So go for it people. :)
[1] https://www.acsac.org/2012/workshops/law/pdf/Launchbury.pdf
[2] https://galois.com/blog/2012/03/verifying-ecc-implementation...
[3] http://www.cps-vo.org/file/19230/download/59388
[5] https://www.easycrypt.info/trac/raw-attachment/wiki/BibTex/C...