Asi holes

Narya interactive proof development with typed holes

install

source · Clone the upstream repo

git clone https://github.com/plurigrid/asi

Claude Code · Install into ~/.claude/skills/

T=$(mktemp -d) && git clone --depth=1 https://github.com/plurigrid/asi "$T" && mkdir -p ~/.claude/skills && cp -r "$T/skills/holes" ~/.claude/skills/plurigrid-asi-holes-b8521f && rm -rf "$T"

manifest: skills/holes/SKILL.md

source content

Holes Skill

Interactive proof development using typed holes in Narya proof assistant.

See HOLES_GUIDE.md for detailed usage.

Cat# Integration

This skill maps to Cat# = Comod(P) as a bicomodule:

Trit: 0 (ERGODIC - bridge/coordinator)
Home: Prof (profunctors/bimodules)
Poly Op: ⊗ (parallel composition)
Kan Role: Adj (adjunction bridge)

GF(3) Naturality

Typed holes represent "gaps" in the proof space - they are ERGODIC elements that bridge between what is known (MINUS) and what needs to be constructed (PLUS).