Materials Corrosion Mechanisms From Config Dim

Corrosion mechanisms

Corrosion is the gradual destruction of materials by chemical reaction with their environment, and engineers classify its damage into standard patterns. The five canonical mechanisms are uniform (general) attack, galvanic corrosion from dissimilar metals in contact, pitting as localized holes, crevice corrosion in shielded areas, and stress corrosion cracking under combined tension and corrosive media. Each pattern has a distinct geometry and electrochemical signature, and each demands a different mitigation strategy.

The framework's machine-checked library of formal theorems addresses why these five, rather than a different taxonomy. In Recognition Science, a ledger, a discrete record of recognition events, forces a specific count of structural alternatives. The library defines the corrosion mechanisms as an inductive type with exactly five constructors, and a kernel-checked theorem proves the cardinality equals five by decision procedure. A certificate structure bundles this count as a formal guarantee.

The plain-language consequence is a completeness claim: the five mechanisms are not an arbitrary engineering list but the exhaustive set that the framework's configurational dimension, the count D = 5, permits. The theorem is axiom-clean, with zero unproved assumptions in the library. This does not predict which mechanism occurs in a given metal, nor does it rank their severity; it establishes the taxonomy's closure.

theorem corrosionMechanism_count :
    Fintype.card CorrosionMechanism = 5 := by decide

structure CorrosionMechanismsCert where
  five_mechanisms : Fintype.card CorrosionMechanism = 5

What this page does not claim

This answer does not claim which corrosion mechanism occurs in a specific metal or environment. This answer does not claim the five mechanisms are ranked by severity or frequency. This answer does not claim the framework derives the electrochemical kinetics of any corrosion process.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Materials/CorrosionMechanismsFromConfigDim.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.

Derived articles

This page is generated by a question-recursion engine: the questions its answers raise become the next pages. The current agenda, with open targets marked red: