Automate precise computation of location upper-bound annotations in the local type system

Develop and validate a static analysis or typing mechanism that automatically computes precise upper bounds ρ for the local types loc_ρ and locset_ρ—used to represent locations and location sets—in the local language of Lambda-QC, eliminating the need to supply these annotations manually while preserving type soundness.

Background

Lambda-QC’s local type system includes types loc_ρ and locset_ρ to represent locations and sets of locations, where ρ is a static upper bound on the possible runtime resolution. The current development assumes these bounds are provided directly as annotations by the local type system.

The authors suggest these bounds could be inferred by refinement types or separate static analyses, but they do not implement such inference and explicitly defer precise computation to future work.