`ic002_certificate`

definition

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module: IndisputableMonolith.Information.ComputationLimitsStructure
domain: Information
line: 191 · github
papers citing: none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Information.ComputationLimitsStructure on GitHub at line 191.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

formal source

 188]
 189
 190/-- IC-002 Status Certificate -/
 191def ic002_certificate : String :=
 192  "═══════════════════════════════════════════════════════\n" ++
 193  "  IC-002: COMPUTATION LIMITS — STATUS: DERIVED\n" ++
 194  "═══════════════════════════════════════════════════════\n" ++
 195  "✓ tick_pos:                 τ₀ > 0\n" ++
 196  "✓ max_rate_pos:             1/τ₀ > 0\n" ++
 197  "✓ computation_limits:       Irrational φ (core constraint)\n" ++
 198  "✓ no_exact_phi_computation: ∀ q : ℚ, q ≠ φ\n" ++
 199  "✓ landauer_energy_pos:      k_B T ln(2) > 0\n" ++
 200  "✓ landauer_scales_with_temp: monotone in T\n" ++
 201  "✓ bremermann_limit_pos:     B = 2/ℏ > 0\n" ++
 202  "✓ phi_powers_unbounded:     φⁿ → ∞\n"
 203
 204end ComputationLimitsStructure
 205end Information
 206end IndisputableMonolith

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