segal-types
73Skill Codex
Segal types for synthetic ∞-categories. Binary composites exist uniquely up to homotopy. Foundation for topological chemputer.
everything is topological chemputer!
This repository also configures its own agents. See what asi tells them →
Skill Codex
Segal types for synthetic ∞-categories. Binary composites exist uniquely up to homotopy. Foundation for topological chemputer.
Skill Codex
Darwin Gödel Machine patterns for self-improving AI agents with open-ended code evolution. Use for building agents that autonomously improve their own capabilities, modify their codebases, and evolve through interaction.
Skill Codex
Čech cohomology for local-to-global consistency verification in code structure and data schemas.
Skill Codex
Sheaf neural network coordination via graph Laplacians for distributed consensus and harmonic inference. Use when coordinating multi-agent systems, building sheaf-aware GNNs, or implementing distributed consensus protocols.
Skill Codex
Category: Phase 3 Core - Distributed Reasoning Status: Skeleton Implementation Dependencies: oriented-simplicial-networks, categorical-composition.
Skill Codex
Category: Theorem Prover Health Monitoring Type: Graph Analysis + Linear Algebra Language: Julia Status: Production Ready Version: 1.0.0 Date: December 22, 2025.
Skill Codex
Category: Theorem Discovery + Comprehension Type: Random Walk Analysis Language: Julia Status: Production Ready Version: 1.0.0 Date: December 22, 2025.
Skill Codex
Coalgebraic observation of derivation streams with final coalgebra bisimulation for infinite trace verification.
Skill Codex
Topos Generation Skill (PLUS +1).
Skill Codex
Version: 1.0.0 Status: Production Ready Date: December 22, 2025 Phase: 2 Stage 3 Foundation.
Skill Codex
Directed Yoneda lemma as directed path induction. Riehl-Shulman's key insight for synthetic ∞-categories.
Skill Cursor
Meta-skill that generates domain-specific AI skills from tool documentation.
Skill OpenCode
BDD-Driven Mathematical Content Verification Skill Combines Behavior-Driven Development with mathematical formula extraction, verification, and transformation using: Cucumber/Gherkin for specification RSpec for implementation verification mathpix-gem for LaTeX/mathematical content extraction Pattern matching on syntax…
Skill OpenCode needs its repo
Status: ✅ Production Ready Framework: Jules Hedges' Compositional Game Theory Language: Ruby (HedgesOpenGames module) Trit: ±1 (covariant/contravariant) Integration: Amp, Codex, Music-Topos CRDT.
Skill OpenCode needs its repo
Category: Behavioral Verification | Neural Mechanism Implementation Level: Advanced (Requires understanding of: reafference theory, signal processing, corollary discharge) Status: ✓ COMPLETE & OPERATIONAL Trit Assignment: +1 (PLUS) - Active threat detection & signal amplification Propagates To: codex, claude, amp…
Skill Claude CodeCodex
Lee Cronin's Assembly Theory for molecular complexity measurement and life detection via assembly index computation.
Skill Claude CodeCodex
Schmidhuber's compression progress as intrinsic curiosity reward for learning systems.
Skill Claude CodeCodex
Riehl-Shulman covariant fibrations for dependent types over directed intervals in synthetic ∞-categories.
Skill Claude CodeCodex
Chemical Reaction Network topology for generating and analyzing reaction graph structures.
Skill Claude CodeCodex
Elements of ∞-Category Theory (Riehl-Verity) for foundational ∞-categorical constructions and model-independence.
Skill Claude CodeCodex
Synthetic adjunctions in directed type theory for ∞-categorical universal constructions.
Skill Claude CodeCodex
System 2 attention mechanisms for deliberate, slow reasoning in transformer architectures.
Skill Claude CodeCodex
Cronin's Turing-complete chemputer for programmable chemical synthesis via XDL.
Skill Codex
P2P file transfer with mutual discovery, voice announcements, and redundant connection methods.
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