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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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9 lines
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created: 20260507000000000
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modified: 20260507000000000
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tags: ResearchStack Lean FormalVerification
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title: Lean Semantics Overview
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type: text/vnd.tiddlywiki
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! Lean Semantics Overview
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The Lean 4 formalization ecosystem is the formal workhorse of the Research Stack, containing ~421 .lean files in `0-Core-Formalism/lean/Semantics/Semantics/` organized into 31 subdirectories. Major subsystems include: [[Fixed Point Algebra]] (Q16_16 fixed-point arithmetic), [[FiveD Torus Topology]] (torus distance and routing), [[PIST Shell Encoding]] (shell partition and mirror involution), [[AMMR Adaptive Meshless Methods]] (meshless PDE solving), [[AVMR Adaptive Vector Manifold Representation]] (vector manifold representation), [[SLUQ Routing]] (quaternion-based routing), [[Sigma Gate]] (entropy gating), [[Mass Number Theory]] (admissibility gates), [[Hutter Prize ISA]] (compression-optimized instruction set), [[Yang-Mills Compression]] (field-theoretic compression bounds), and [[NIICore Architecture]] (morphic field core with 20+ submodules). Built with Lake package manager; external OTOM formalizations at `0-Core-Formalism/lean/external/OTOM/`.
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