Lean

Uh, thanks for having me on.

Um, Aristotle is a system to do formal reasoning in Lean.

Um, we apply it both to mathematics and code.

And we actually have been focusing on Lean for a long time because Harmonic actually started with a thought experiment back in twenty twenty-three.

So we asked ourselves-- And back then, you know, AI could barely do high school math, or let's say even middle school math, much less, uh-

Uh-huh

You know, now Aristotle's available.

It is, again, essentially a large language model.

And you have very well established semantics, right? For a compiler, you know the semantics of the input, you know the semantics of assembly, and then you basically do your proof, right? And so I think in these kind of cases, it's going to work really, really well.

But let me tell you my personal experience with these kinds of things, with these kinds of tools like Lean and Coq and whatever, whichever you prefer.

There are many programs, because at some point in my life in the past, I was super excited about this.

Uh, when I was, you know, in college and right out of college, I was like, everything should be written this way.

we need to clarify what lean code actually is, because this isn't like writing a Python script to build a website.

No, it's completely different.

Lean is an interactive theorem prover.

It's a programming language specifically designed for the calculus of inductive constructions.

It forces the writer to define every single logical step with mathematical precision so that a compiler can check it.

So already very familiar with just the concept of teaching a class, you know, completely through like a formal theorem prover or proof assistant.

There's a lot of people that have been doing similar things like with Lean.

Like I know, I think it's Emily Real that published something where she had developed a whole similar kind of course, like a discrete math course using Lean and having students do stuff like that.

I'm not brave enough, I think.

Yeah.