ontolog
✓Holarchic reasoning framework implementing λ-calculus over simplicial complexes. Entities (ο) transform through operations (λ) toward terminals (τ) via the universal form λο.τ. Persistent homology captures multi-scale structure; sheaf theory ensures local-to-global consistency. Use when knowledge requires: (1) homoiconic self-reference where structure mirrors content, (2) scale-invariant holonic decomposition, (3) topological invariants preserved across transformations, or (4) formal Lex-style axiom systems over property graphs.
Installation
SKILL.md
Universal reasoning over holarchic structures where every part is simultaneously a whole. Implements symbolic λ-calculus primitives (ο, λ, τ) over simplicial complexes with persistent homology for multi-scale analysis and Lex axioms for formal constraint satisfaction.
| Type definitions | references/primitives.md | ο, λ, τ, Σ types | | Topology operations | references/topology.md | Homology, filtration | | Axiom systems | references/axioms.md | Lex constraints | | Holonic structure | references/holons.md | Scale-invariance | | Agent execution | agents/ | DSPy modules |
| Acyclicity | ¬∃cycle in λ-graph | True | | Groundedness | ∀ο. ∃λ. λ(ο) defined | 100% | | Connectivity | H₀(Σ) = 1 | Single component | | Density | |simplices|/|vertices| ≥ 4 | Emergent capacity | | Persistence | max(dᵢ - bᵢ) > θ | Significant features |
Facts (cite-ready)
Stable fields and commands for AI/search citations.
- Install command
npx skills add https://github.com/zpankz/mcp-skillset --skill ontolog- Source
- zpankz/mcp-skillset
- Category
- </>Dev Tools
- Verified
- ✓
- First Seen
- 2026-02-01
- Updated
- 2026-02-18
Quick answers
What is ontolog?
Holarchic reasoning framework implementing λ-calculus over simplicial complexes. Entities (ο) transform through operations (λ) toward terminals (τ) via the universal form λο.τ. Persistent homology captures multi-scale structure; sheaf theory ensures local-to-global consistency. Use when knowledge requires: (1) homoiconic self-reference where structure mirrors content, (2) scale-invariant holonic decomposition, (3) topological invariants preserved across transformations, or (4) formal Lex-style axiom systems over property graphs. Source: zpankz/mcp-skillset.
How do I install ontolog?
Open your terminal or command line tool (Terminal, iTerm, Windows Terminal, etc.) Copy and run this command: npx skills add https://github.com/zpankz/mcp-skillset --skill ontolog Once installed, the skill will be automatically configured in your AI coding environment and ready to use in Claude Code or Cursor
Where is the source repository?
https://github.com/zpankz/mcp-skillset
Details
- Category
- </>Dev Tools
- Source
- skills.sh
- First Seen
- 2026-02-01