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Research-Stack/0-Core-Formalism/lean/Semantics
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Claude 817fbaca6c feat(lean): ProductSidon — injective product-space encoding from Sidon partition 
Formalizes the core equation extracted from atproto's "no instances" principle:

  α(x₁) + β(y₁) = α(x₂) + β(y₂)  →  x₁ = x₂  ∧  y₁ = y₂

Key additions (0 sorry):
- IsProductSidon: injectivity of joint encoding f(x,y) = α(x) + β(y)
- CrossDiffDisjoint: (Δ image α) ∩ (Δ image β) = {0}
- productSidon_injective: CrossDiffDisjoint → IsProductSidon
- isProductSidon_iff_crossDiffDisjoint: equivalence (given injective encodings)
- sidonPartition_implies_productSidon: Sidon set partition → ProductSidon pair
- atmosphere_sidon_principle: equal observables → same host/app decomposition

Extends sidon_diff_injective (E8Sidon §8) from intra-set to cross-set differences.

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Xrttjg3619VRrMjxqUPUkL
2026-06-20 06:41:55 +00:00
..
.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 chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -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 feat(lean): ProductSidon — injective product-space encoding from Sidon partition 2026-06-20 06:41:55 +00:00
.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