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Categories: Research

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levity-levin

plurigrid

Playful mutual ingression meets Leonid Levin's algorithmic bounds. Use for: playful exploration with theoretical guarantees, mutual ingression with convergence proofs, emergent solutions within complexity bound...

GitHub

ducklake-walk

plurigrid

Ergodic random walks over DuckLake lakehouses with GF(3) triadic concurrent walkers. Society-of-mind coordination for schema exploration.

GitHub

gmail-anima

plurigrid

Gmail inbox management via ANIMA condensation. Transforms messages into GF(3)-typed Interactions, routes to triadic queues, detects saturation for inbox-zero-as-condensed-state. Use for email triage, workflow a...

GitHub

moebius-inversion

plurigrid

Möbius inversion on posets and lattices: alternating sums, chromatic polynomials, incidence algebras, and centrality predicates.

GitHub

code-review

plurigrid

Automated code review for pull requests using specialized review patterns.

GitHub

bmorphism-interactome

plurigrid

GitHub interactome explorer for bmorphism/plurigrid ecosystem. Maps collaborations across AlgebraicJulia, Topos Institute, Anthropic, and MCP servers. Use for discovering cobordisms between research communities...

GitHub

algebraic-rewriting

plurigrid

Category-theoretic graph rewriting with DPO, SPO, and SqPO pushouts for C-Sets. Declarative transformation of acset data structures.

GitHub

spi-parallel-verify

plurigrid

Verify Strong Parallelism Invariance (SPI) and GF(3) conservation for 3-way color streams with arbitrary precision.

GitHub

protocol-acset

plurigrid

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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