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Five Classical Open Problems — Rei-AIOS Next Lean 4 Deep-Dive Roadmap (Paper 132)

Five Classical Open Problems — Rei-AIOS Next Lean 4 Deep-Dive Roadmap (Paper 132)

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15 min read
First Lean 4 Formalization of Bipartite Ramsey Number b(2,2)=5 with native_decide Certification (Rei-AIOS Paper 131)

First Lean 4 Formalization of Bipartite Ramsey Number b(2,2)=5 with native_decide Certification (Rei-AIOS Paper 131)

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7 min read
Open Problems META-DB (Rei-AIOS): D-FUMT8 META-Classification of 713 Open Problems (Rei-AIOS Paper 130)

Open Problems META-DB (Rei-AIOS): D-FUMT8 META-Classification of 713 Open Problems (Rei-AIOS Paper 130)

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12 min read
First Lean 4 Formalization of the Davenport Constant D(Z_n) and D(Z2 x Z2): native_decide Certificates with EGZ Bridge (Rei-AIOS Paper 128)

First Lean 4 Formalization of the Davenport Constant D(Z_n) and D(Z2 x Z2): native_decide Certificates with EGZ Bridge (Rei-AIOS Paper 128)

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11 min read
First Lean 4 Computational Formalization of Schur Numbers S(2), S(3), S(4) and Small-Value EGZ Witnesses (Rei-AIOS Paper 127)

First Lean 4 Computational Formalization of Schur Numbers S(2), S(3), S(4) and Small-Value EGZ Witnesses (Rei-AIOS Paper 127)

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10 min read
Seven-Conjecture Deep Dives, Multi-Attractor Q33 Extension, and the First Cross-Domain Frankl Formalization (Rei-AIOS Paper 121)

Seven-Conjecture Deep Dives, Multi-Attractor Q33 Extension, and the First Cross-Domain Frankl Formalization (Rei-AIOS Paper 121)

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13 min read
Five Unsolved-Problem Deep Dives and the Gilbreath-Collatz Structural Isomorphism (Rei-AIOS Paper 120)

Five Unsolved-Problem Deep Dives and the Gilbreath-Collatz Structural Isomorphism (Rei-AIOS Paper 120)

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13 min read
Paper 119: Q7 Falsification, Q8/Q9 Empirical Data, and the First Rei-AIOS Failure Record

Paper 119: Q7 Falsification, Q8/Q9 Empirical Data, and the First Rei-AIOS Failure Record

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10 min read
Five Formal Closures + Findings + AI-Generated Open Questions (Rei-AIOS Paper 118)

Five Formal Closures + Findings + AI-Generated Open Questions (Rei-AIOS Paper 118)

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12 min read
Random 3-SAT Phase Transition Revisited: Empirical Reproduction, Lean 4 Formalization, and D-FUMT8 Interpretation Layer

Random 3-SAT Phase Transition Revisited: Empirical Reproduction, Lean 4 Formalization, and D-FUMT8 Interpretation Layer

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10 min read
Erdős-Straus Conjecture — Lean 4 Small-n Formalization + Infinite Mod-4 Family

Erdős-Straus Conjecture — Lean 4 Small-n Formalization + Infinite Mod-4 Family

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5 min read
Andrica's Conjecture — A Lean 4 Mathlib-Native Treatment with Structural Sufficient Conditions

Andrica's Conjecture — A Lean 4 Mathlib-Native Treatment with Structural Sufficient Conditions

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5 min read
Twin Primes Conjecture under Rei-AIOS Lens — A Structural Reinterpretation of Zhang-Maynard Bounded-Gap Results

Twin Primes Conjecture under Rei-AIOS Lens — A Structural Reinterpretation of Zhang-Maynard Bounded-Gap Results

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6 min read
Nested Colored-Dot Symbol System: An Information-Theoretic and Semantic Alternative to QR Codes

Nested Colored-Dot Symbol System: An Information-Theoretic and Semantic Alternative to QR Codes

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9 min read
Topological and Ergodic Approaches to the Collatz Conjecture: Rei-AIOS vs. Santana (2026)

Topological and Ergodic Approaches to the Collatz Conjecture: Rei-AIOS vs. Santana (2026)

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7 min read
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