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56 lines
No EOL
1.4 KiB
Text
56 lines
No EOL
1.4 KiB
Text
# Erdős #336 Test Bench Flow
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# Explicit Example: A = ∪(2^{2k}, 2^{2k+1}], order=2, exact_order=3
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flowchart TD
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A[Start: Basis A
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k=0: {2}
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k=1: {5,6,7,8}
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k=2: {17..31}] --> B[Encode to 30-base
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L1: F(E) → bases 0-7
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L2: τ(E) → bases 8-15
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L3: δ(E) → bases 16-23
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L4: consistency → bases 24-29]
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B --> C{Run Verification}
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C -->|Pass| D[DISCRETE Cycle
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Propagate constraints
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I1-I6 check]
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C -->|High-Gap| E[CONTINUOUS Mode
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+ Kirchhoff validation]
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D --> F{Fixed Point?}
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F -->|Yes ≤20 iter| G[Decode Layout
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Extract: order
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Extract: exact_order
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Extract: basis A]
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F -->|No| H[Fail: Divergence
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Constraint logic error]
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E --> F
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G --> I{Verify Results}
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I -->|order==2
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exact==3
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I1-6 pass| J[✅ SUCCESS
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Erdős #336 test passed]
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I -->|Mismatch| K[❌ FAIL
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Encoding error]
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%% Style definitions
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classDef success fill:#90EE90,stroke:#333,stroke-width:2px
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classDef fail fill:#FFB6C1,stroke:#333,stroke-width:2px
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classDef process fill:#87CEEB,stroke:#333,stroke-width:2px
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classDef decision fill:#FFD700,stroke:#333,stroke-width:2px
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class A,B process
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class C,F,I decision
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class D,E process
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class G process
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class J success
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class H,K fail |