Comment by Ericson2314

This blog post is out of its depth

- Lean will optimize peano arithmetic with binary bignums underneath the hood

- Property based checking and proof search already exist on a continuum, because counterexamples are a valid (dis)proof technique. This should surprise no writer of tactics.

- the lack of formal specs for existing software should become less a problem for greenfield software after these techniques go mainstream. People will be incentivized to actually figure out what they want, and successfully doing so vastly improves project management.

Finally, and most importantly, people thinking that there is a "big specification" and then "big implementation" are totally missing the mark. Remember tools like lean are just More Types. When we program with types, do we have a single big type and a single untyped term, paired together? Absolutely not.

As always, the key to productive software development is more and more libraries. Fancier types will allow writing more interesting libraries that tackle the "reusable core" of many tasks.

For example, do you want to write a "polymorphic web app" that can be instantiated with a arbitrary SQL Schema? Ideas like that become describable.