SKILL

• Define the trace site $T$: objects as traces, morphisms as refinements.
• Choose a Grothendieck topology that marks which refinements cover each trace.
• For each trace, define a finite Heyting algebra $H_t$.
• Define stabilizer ${\sigma }_t$ and drift ${\Delta }_t$ for each fiber.
• Define reindexing maps along trace morphisms.
• Record the constructed data in an example file or working notes.