KeYmaeraX-release

No offense taken, I totally understand that it can come across as odd. I hope my clarification makes more sense. Once I learned more about say, why leibniz and newton came up with their formulations, and what say, the inverse of the square root of the determinant of the jacobian actually allows one to formulate (how a space "dilate" when a continuous distortion is applied to it, for example), calculus (applied calculus) became a much more interesting topic for me. While I only got so far in proving stuff about a cyber-physical I was working on, but this was really fun to learn: https://github.com/LS-Lab/KeYmaeraX-release See also: http://lfcps.org/lfcps/

This was a great comment. The fact that new notations/representations (be that tests, simulations, formal methods, etc.) must justify their additional cognitive overhead is a great point. Aside from unit and integration tests, I think that substantial new notation/infrastructure is most justifiable when the second notation/setting allows you to model parts of the problem that can't be modeled in the original notation. Embedded software is a good example. Although there are some tools that allow you to model the physical system alongside the control software, typically the code is written in C and so there's no way of expressing very important aspects of the problem in the implementation language. So a second notation can help. For example, simulators and HiL setups for testing or things like https://github.com/LS-Lab/KeYmaeraX-release for