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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.
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devops architecture patterns AI 技能
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concatenative
Forth/Factor/Joy: stack-based concatenative programming where composition replaces application.
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categorical-rewriting-triad4
Categorical Rewriting: Triad 4 (World Transformation)
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oapply-colimit
oapply operad algebra evaluation via colimits with Specter-style composition patterns
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signal-isolated-auth
Maximally isolated Signal authentication via colored operad security boundaries. VM→Container→Process enclosure with GF(3) conservation for Agent-O-Rama pathways.
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ies-flox
FloxHub publication `bmorphism/ies` - a focused development environment
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infinity-operads
∞-Operads for pairwise/tritwise Cat# interactions with lazy ACSet materialization unifying effective, realizability, and Grothendieck topoi via dendroidal Segal spaces.
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algebraic-rewriting
Category-theoretic graph rewriting with DPO, SPO, and SqPO pushouts for C-Sets. Declarative transformation of acset data structures.
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social-emergence-protocol
Minimal interaction patterns that bootstrap complex social behaviors in distributed systems
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protocol-acset
Model decentralized protocols as attributed C-sets for compositional analysis, interoperability design, and protocol evolution. Apply categorical mathematics to P2P infrastructure.
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segal-types
Segal types for synthetic ∞-categories. Binary composites exist uniquely
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derangement-crdt
Derangement-CRDT Skill
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tripartite-decompositions
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...
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mcp-spec-checker
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...
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reversible-computing
Janus and reversible languages: run programs backwards, time-symmetric computation.
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coequalizers
Quotient redundant skill paths via coequalizers, preserving GF(3) conservation
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slowtime-mcp
Asymmetric time dilation for MCP operations - deliberate slow paths enable capability accumulation through Cat# bicomodule composition.
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soliton-detection
Topological soliton detection and agency bridge with anyonic fusion algebra for concept composition
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world-runtime
Firecracker microVM + Morph Infinibranch WorldRuntime for parallel verse execution. Entities branch/snapshot in
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gf3-tripartite
GF(3) Tripartite Orchestration
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recursive-string-diagrams
recursive-string-diagrams
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lhott-cohesive-linear
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.
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type-inference-validation
Static type inference and validation for navigation paths
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lhott-cohesive-linear
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.
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