Operator Algebra of Institutional Alignment

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Operator Algebra of Institutional Alignment

Definition

A formal mathematical framework for composing and verifying institutional design properties. OAIA treats the Δ (decoupling) and Λ (alignment) operators algebraically, enabling rigorous proof that institutional designs satisfy desired properties.

Example

OAIA can formally prove that a proposed governance structure satisfies cycle decoupling—not through simulation or case study, but through algebraic verification of structural invariants.

Source

OAIA Section 1

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Related Terms from Operator Algebra of Institutional Alignment

Operator CompositionΔ ∘ Λ

Structural Verification

Alignment TransformA = Λ ∘ Δ

Misalignment OperatorE = I - A

Capital-Cycle FunctionK : 𝕋 → ℝⁿ

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Back to Glossary

Operator Algebra of Institutional Alignment

Definition

Example

OAIA can formally prove that a proposed governance structure satisfies cycle decoupling—not through simulation or case study, but through algebraic verification of structural invariants.

Source

OAIA Section 1

Read Explainer View Paper

Related Terms from Operator Algebra of Institutional Alignment

Operator CompositionΔ ∘ Λ

Structural Verification

Alignment TransformA = Λ ∘ Δ

Misalignment OperatorE = I - A

Capital-Cycle FunctionK : 𝕋 → ℝⁿ

Explore the Full Glossary

Search 905 terms across all IRSA research papers.

Browse All Terms