>> Does any system aspire to be a Prolog for 3D? You sketch a variety of views and a system solves, if possible, for a solid geometry representation?

I'm not aware of any. Maybe slightly related, my plan for a "hole tool" in Solvespace is to add a hole entity to 2D drawings that will automatically create a featured hole when the sketch is extruded. But that's not actually solving anything in a math sense.