topos-catcolab
Topos Institute's CatColab for collaborative category theory - community model building, double theories, stock and flow epidemiology, and real-time collaborative diagramming via Automerge CRDT.
Discover devops architecture patterns skills, compare source repositories and read the instructions for each workflow.
Topos Institute's CatColab for collaborative category theory - community model building, double theories, stock and flow epidemiology, and real-time collaborative diagramming via Automerge CRDT.
Forth/Factor/Joy: stack-based concatenative programming where composition replaces application.
Categorical Rewriting: Triad 4 (World Transformation)
oapply operad algebra evaluation via colimits with Specter-style composition patterns
Maximally isolated Signal authentication via colored operad security boundaries. VM→Container→Process enclosure with GF(3) conservation for Agent-O-Rama pathways.
FloxHub publication `bmorphism/ies` - a focused development environment
∞-Operads for pairwise/tritwise Cat# interactions with lazy ACSet materialization unifying effective, realizability, and Grothendieck topoi via dendroidal Segal spaces.
Category-theoretic graph rewriting with DPO, SPO, and SqPO pushouts for C-Sets. Declarative transformation of acset data structures.
Minimal interaction patterns that bootstrap complex social behaviors in distributed systems
Model decentralized protocols as attributed C-sets for compositional analysis, interoperability design, and protocol evolution. Apply categorical mathematics to P2P infrastructure.
Segal types for synthetic ∞-categories. Binary composites exist uniquely
Derangement-CRDT Skill
GF(3)-balanced structured decompositions for parallel computation. Decomposes problems into MINUS/ERGODIC/PLUS components with sheaf-theoretic gluing. Use for FPT algorithms, skill allocation, or any 3-way para...
Predicate-level semantic diff for MCP protocol specs. Compares 0618 vs 1125 specs via Narya types, GF(3) evaluators, and Unison-style effects. Use for protocol verification, spec migration, or detecting breakin...
Janus and reversible languages: run programs backwards, time-symmetric computation.
Quotient redundant skill paths via coequalizers, preserving GF(3) conservation
Asymmetric time dilation for MCP operations - deliberate slow paths enable capability accumulation through Cat# bicomodule composition.
Topological soliton detection and agency bridge with anyonic fusion algebra for concept composition
Firecracker microVM + Morph Infinibranch WorldRuntime for parallel verse execution. Entities branch/snapshot in
GF(3) Tripartite Orchestration
recursive-string-diagrams
Cohesive Linear HoTT patterns for interaction entropy with diagram generation. Implements Schreiber's cohesive modalities (♯,♭,ʃ) and Riley's linear modality (♮) for quantum-classical bridging.
Static type inference and validation for navigation paths
Cohesive Linear HoTT patterns for interaction entropy with diagram generation. Implements Schreiber's cohesive modalities (♯,♭,ʃ) and Riley's linear modality (♮) for quantum-classical bridging.
The default order uses GitHub repository stars from our indexed data. Stars belong to the source repository and may be shared by multiple skills. They indicate repository interest, not skill installs or an independent quality score.