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Cross-referenced against our prover orchestration layers: - Plan-Execute-Verify-Replan ↔ L0-L3 pipeline - Agents as specialists ↔ 11-agent swarm - Guardrails ↔ ProverWatchdog - Sandbox testing ↔ Virtual FPGA tests - Trajectory-aware eval ↔ BFS audit trail 5 gaps identified, 4 strengths confirmed
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985 B
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9 lines
985 B
Text
created: 20260507000000000
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modified: 20260507000000000
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tags: ResearchStack Lean AVMR Vector Manifold
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title: AVMR Adaptive Vector Manifold Representation
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type: text/vnd.tiddlywiki
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! AVMR Adaptive Vector Manifold Representation
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AVMR (Adaptive Vector Manifold Representation) is a core mathematical framework formalized across 7 Lean modules: `AVMR.lean`, `AVMRCore.lean`, `AVMRClassification.lean`, `AVMRProofs.lean`, `AVMRTheorems.lean`, `AVMRInformation.lean`, `AVMRFrameworkMetaprobe.lean`. Provides vector manifold representation with adaptive dimensionality, classification into manifold types, formal proofs of representation theorems, and information-theoretic bounds. Used by the [[AMMR Adaptive Meshless Methods]] for meshless PDE solving, [[SLUQ Routing]] for quaternion manifold navigation, and the [[Equation Forest Index]] for semantic vector mapping. The paper source is at `6-Documentation/papers/braid-field-papers/papers/AVMR.tex`. Part of the layered mountain model.
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