~/talk

A Mechanized Theory of the Box Calculus

Talkat IWACO 2023 · on Tuesday, 2023-10-24
links:none on file
name:Yichen Xu
links:none on file
slides:none on file

Mechanization of the Box Calculus appears as a complete Coq development that formalizes System CC_<:□ with Coq mechanization and produces a verified soundness proof available on GitHub. It implements boxes/unbox to hide and reveal capture sets, enforces pure type-variable bounds, and uses monadic normal form plus locally nameless + cofinite quantification for binding. The mechanization merges pre-types and types into one inductive, simplifies well-formedness, and shrinks the proof from 12,000 → 7,000 lines, claiming the implementation works and is reusable.

AI-written summary · about

  1. 0:00Introduction
  2. 1:04Mechanized Box Calculus overview
  3. 4:12Capture calculus purpose
  4. 6:06CF sub vs Box Calculus
  5. 8:38Boxes and unboxes in CC
  6. 11:31Mechanization of CC
  7. 13:17Fresh variable tactics
  8. 14:47Box Calculus results
  9. 15:52Q&A
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