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86 lines
1.6 KiB
Text
86 lines
1.6 KiB
Text
created: 20260508000000000
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modified: 20260508000000000
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tags: ResearchStack RRC Lean Logogram Projection Formalism Axiom Receipt
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title: RRC Logogram Projection Formalism
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type: text/vnd.tiddlywiki
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! RRC Logogram Projection Formalism
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Durable note:
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```
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docs/rrc_logogram_projection_formalism.md
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```
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Lean module:
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```
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0-Core-Formalism/lean/Semantics/Semantics/RRCLogogramProjection.lean
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```
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Bridge receipt:
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```
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4-Infrastructure/shim/rrc_logogram_projection_bridge_receipt.json
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```
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Bridge receipt hash:
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```
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83f44e8341788f6cbb2013704af2622f95f140b5a98402d69cd4ddde5ea88826
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```
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!! Core Claim
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```
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type admission != projection admission != merge admission
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```
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The repaired tear theorem proves:
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```
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type-admissible torn logogram
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+ contradiction witness
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+ tear boundary
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+ detached mass
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+ residual lane
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-> projection admissible
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-> not merge admissible
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-> quarantine projection lane
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```
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!! Lean Theorems
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```
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semantic_tear_projects_after_repair
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semantic_tear_does_not_merge
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semantic_tear_uses_quarantine_lane
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unrepaired_tear_does_not_project
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ordinary_logogram_projects_and_merges
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merge_implies_projection
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repaired_tear_separates_projection_from_merge
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```
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!! Build Witness
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```
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lake build Semantics.RRCLogogramProjection
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true
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false
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Semantics.RRCLogogramProjection.ProjectionLane.quarantineProjection
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false
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true
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```
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!! Boundary
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This proves the routing invariant. It does not prove the source math, semantic
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truth, physical manifold reality, or compression gain.
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!! Links
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* [[RRC Logogram Projection Bridge]]
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* [[Rainbow Raccoon Compiler]]
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* [[Math Logogram Surface Compiler]]
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* [[Semantic Topology Compression Regimes]]
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