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Research-Stack/0-Core-Formalism/lean/Semantics
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allaun 248cf747bf proof(lean): close e8_levelset_density via σ₃(n) ≤ n⁴ divisor bound 
- e8_levelset_density (T=N⁴): proven by showing E8LevelSet(N⁴,N) ⊇ [1,N].
  Key chain: σ₃(n) = ∑_{d|n} d³ ≤ card(div(n))·n³ ≤ n·n³ = n⁴ ≤ N⁴.
  card(div(n)) ≤ n from div(n) ⊆ Icc 1 n; then N/(log 2 N)² ≤ N ≤ card.
- sidon_weight_bound: one remaining sorry (ANALYTIC_OPEN — E₈ convolution
  identity summed over Sidon pairs; corrected LHS uses σ₃(a)·σ₃(b) products).
- §14 summary updated.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
2026-06-16 15:04:04 -05:00
..
.github/workflows initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Ancillary Track remaining source and documentation inventory 2026-05-11 22:18:31 -05:00
blackboard initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
build-static initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Core Address fixed-point review findings 2026-05-05 21:26:18 -05:00
ExtensionScaffold chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
legacy fix(lean): complete picard-lindelof existence proof in legacy HamiltonianMechanics 2026-06-16 00:09:31 -05:00
OpenWormKernelFieldBenchmark initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Quarantine initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
scripts initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Semantics proof(lean): close e8_levelset_density via σ₃(n) ≤ n⁴ divisor bound 2026-06-16 15:04:04 -05:00
.gitignore initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
AdaptivePrecision.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
AdaptivePrecision.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
AdaptivePrecision.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
AGENTS.md chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
BindServer.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
BindServer.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
BindServer.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Biology.lean Semantics: modularize quaternion, resolve circular dependencies, and eliminate float operations 2026-05-19 14:29:41 +00:00
CombinatorialPrecision.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
CombinatorialPrecision.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
CombinatorialPrecision.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
debug_eval.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
EQUATIONS_EXTRACTION.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
EvolutionaryTransfold.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
EvolutionaryTransfoldExpanded.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
ExtensionScaffold.lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
EXTERNAL_REVIEW_REQUIREMENTS.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ExtremeParameterTestEval.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ExtremeParameterTestEval.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ExtremeParameterTestEval.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ExtremeParameterTestEval_output.txt initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
F01_Q16_16_FixedPoint.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
F01_Q16_16_FixedPoint.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
FPGAExtraction.lean Expand devcontainer with full Python stack, add MCP servers (Notion/AWS), strengthen Lean theorems 2026-05-19 01:52:14 -05:00
FPGAExtraction.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
FPGAExtraction.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
GenerateLUTMain.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
GenerateSparklePhiS3C.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
GenerateSparklePhiS3C.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
GenerateSparklePhiS3C.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
lake-manifest.json chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
lakefile.toml chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
lean-toolchain Consolidate research stack updates 2026-05-05 21:09:48 -05:00
Main.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Main.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Main.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MANIFOLD_NETWORKING_V0.1_ACCEPTANCE.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ManifoldCompressionAgnostic.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ManifoldCompressionAgnostic.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ManifoldCompressionAgnostic.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MATH_MODEL_MAP.tsv initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MetadataOverheadBudget.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MetadataOverheadBudget.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MetadataOverheadBudget.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MetaManifoldLanguageMerging.lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
MetaManifoldLanguageMerging.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MetaManifoldLanguageMerging.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MinimumNeuralCompression.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MinimumNeuralCompression.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MinimumNeuralCompression.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MOIMBenchmarkMain.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MOIMBenchmarkMain.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MOIMBenchmarkMain.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
NominalParameterTestEval.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
NominalParameterTestEval.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
NominalParameterTestEval.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OpenWormBenchmark.lean Expand devcontainer with full Python stack, add MCP servers (Notion/AWS), strengthen Lean theorems 2026-05-19 01:52:14 -05:00
OpenWormBenchmark.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OpenWormBenchmark.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OriginProtocol.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
OriginProtocol.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OriginProtocol.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
PHASE_COMPLETION_SUMMARY.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
PUBLIC_BENCHMARK_RELEASE.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
PUBLIC_THEORY_RELEASE.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
PurifyMain.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
QuizTest.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
QuizTest.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
QuizTest.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
SabotagePreventionCli.lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
SearchServer.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
SearchServer.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
SearchServer.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Semantics.lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
Semantics.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Semantics.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
SIGNAL_ANALYSIS_GENETIC_IMPLICATIONS.md Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
TangNano9KEmitter.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
TangNano9KEmitter.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
TangNano9KEmitter.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
test.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
TestFintype.lean Expand devcontainer with full Python stack, add MCP servers (Notion/AWS), strengthen Lean theorems 2026-05-19 01:52:14 -05:00
TRANSFOLD_COMPARISON.md Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
TransfoldEquation.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
TransfoldEquationBaseline.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
TransportTheory.lean feat(lean): Prove all TransportTheory theorems 2026-06-12 23:24:16 -05:00
UrbanAdaptationTransfold.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00

README.md

Semantics