The word "AI-Powered" is shown on the front-page of this project as such:

An AI-powered platform for developers to "forge" rigorous and precise system specifications through an iterative process of formalization and analysis.

https://imiron.io/specforge/

This title should maybe include that so people are aware that if you adopt this tool, there is some expectation that AI is involved, unless it's an AI optional product, then they need to clarify.

Whose formalities? The horse still comes first.

From what I gather this bolts on a self-correcting formal specification based on Signal Temporal Logic (cf. https://en.wikipedia.org/wiki/Temporal_logic), to a natural language requirement definition (like OpenSpec).

STL is a spec for continuous, real-time signals over dense time that is appropriate for physical devices and real-time streams. See the "Use Cases for Integration" section in their landing page: https://imiron.io/specforge/

Nice, very LTL

This method is certainly good to learn, but I had some difficulties understanding it

Strong SVA vibes. Also it seems to be only free for non-commercial use. Interesting anyway!