Agent skill
holes
Narya interactive proof development with typed holes
Install this agent skill to your Project
npx add-skill https://github.com/majiayu000/claude-skill-registry/tree/main/skills/data/holes
SKILL.md
Holes Skill
Interactive proof development using typed holes in Narya proof assistant.
See HOLES_GUIDE.md for detailed usage.
Scientific Skill Interleaving
This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:
Graph Theory
- networkx [○] via bicomodule
- Universal graph hub
Bibliography References
general: 734 citations in bib.duckdb
SDF Interleaving
This skill connects to Software Design for Flexibility (Hanson & Sussman, 2021):
Primary Chapter: 10. Adventure Game Example
Concepts: autonomous agent, game, synthesis
GF(3) Balanced Triad
holes (+) + SDF.Ch10 (+) + [balancer] (+) = 0
Skill Trit: 1 (PLUS - generation)
Connection Pattern
Adventure games synthesize techniques. This skill integrates multiple patterns.
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).
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agent-ops-spec
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agent-ops-testing
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agent-ops-state
Maintain .agent state files. Use at session start, after meaningful steps, and before concluding: read/update constitution/memory/focus/issues/baseline consistently.
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