preprintOpen MINDJun 22, 2026GREEN OA

Viridis Compiled Theorem Stack — Canon v10.0.0 (The Core-Extension Wave: SIB + MRAB + Biosphere-Productivity Bridge folded into the spine)

University of Providence · Laboratoire Spécification et Vérification

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Abstract

The Viridis Canon — Lean-Checked Conditional Mathematics for the Intelligence Bound. A machine-checked formal corpus underpinning the Viridis research program on the thermodynamics of intelligence and its application to planetary conservation. Its spine is the Intelligence Bound — a Landauer/erasure-grounded limit on the rate of intelligence creation — formalized in Lean 4 and extended through a stack of modules spanning information theory (the D-Score biodiversity metric), graph-theoretic landscape optimality (HDFM / dendritic corridors), thermodynamic economics, alignment-as-feasibility (Goodhart impossibility), the speed-limit shadow-price tower, and the recovered post-Wolpert erasure-side footing. Every…

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Topics & keywords

Keywords
  • Axiom
  • Generalization
  • Bridge (graph theory)
  • Stack (abstract data type)
  • Conjecture
  • Field (mathematics)
  • Sketch
  • Empirical evidence
UN Sustainable Development Goals
  • Life in Land
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