> you can't spec out something you have no clue how to build
Ideallyāand at least somewhat in practiceāa specification language is as much a tool for design as it is for correctness. Writing the specification lets you explore the design space of your problem quickly with feedback from the specification language itself, even before you get to implementing anything. A high-level spec lets you pin down which properties of the system actually matter, automatically finds an inconsistencies and forces you to resolve them explicitly. (This is especially important for using AI because an AI model will silently resolve inconsistencies in ways that don't always make sense but are also easy to miss!)
Then, when you do start implementing the system and inevitably find issues you missed, the specification language gives you a clear place to update your design to match your understanding. You get a concrete artifact that captures your understanding of the problem and the solution, and you can use that to keep the overall complexity of the system from getting beyond practical human comprehension.
A key insight is that formal specification absolutely does not have to be a totally up-front tool. If anything, it's a tool that makes iterating on the design of the system easier.
Traditionally, formal specification have been hard to use as design tools partly because of incidental complexity in the spec systems themselves, but mostly because of the overhead needed to not only implement the spec but also maintain a connection between the spec and the implementation. The tools that have been practical outside of specific niches are the ones that solve this connection problem. Type systems are a lightweight sort of formal verification, and the reason they took off more than other approaches is that typechecking automatically maintains the connection between the types and the rest of the code.
LLMs help smooth out the learning curve for using specification languages, and make it much easier to generate and check that implementations match the spec. There are still a lot of rough edges to work out but, to me, this absolutely seems to be the most promising direction for AI-supported system design and development in the future.