`localCacheStatus`

definition

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module: IndisputableMonolith.Information.LocalCache
domain: Information
line: 264 · github
papers citing: none yet

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IndisputableMonolith.Information.LocalCache on GitHub at line 264.

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formal source

 261
 262/-! ## Status -/
 263
 264def localCacheStatus : String :=
 265  "═══════════════════════════════════════════════════\n" ++
 266  "    LOCAL CACHE THEOREM — LEAN STATUS\n" ++
 267  "═══════════════════════════════════════════════════\n" ++
 268  "✓ local_cache_benefit: Caching reduces cost (proved)\n" ++
 269  "✓ fibonacci_ratio_forces_golden: Fib + ratio → r²=r+1 (proved)\n" ++
 270  "✓ fibonacci_partition_forces_phi: Fib + ratio → r=φ (proved)\n" ++
 271  "✓ hebb_is_Jcost_gradient: J'(r) = (1-r⁻²)/2 (proved)\n" ++
 272  "✓ hebbian_matches_descent: J' > 0 for r > 1 (proved)\n" ++
 273  "✓ Jcost_min_at_one: J(1) = 0 (proved)\n" ++
 274  "✓ Jcost_pos_of_ne_one: J(r) > 0 for r ≠ 1 (proved)\n" ++
 275  "✓ working_memory_approx: 4 < φ³ < 5 (proved)\n" ++
 276  "✓ Jcost_symmetry_forces_geometric_boundary (proved via Jcost_eq_sq factorization)\n"
 277
 278#eval localCacheStatus
 279
 280end IndisputableMonolith.Information.LocalCache

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