Processual Memory Architecture

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Processual Memory Architecture (PMA) is a computational framework that unifies data storage and computation by representing all information as transformation functions rather than static state, rendering the traditional ontological distinction between them architecturally unnecessary.

In PMA, storing information means encoding it as a mathematical transformation that produces the data when applied to a standardized canonical input. Reading means applying the transformation. Computing means composing transformations. This inversion of the conventional von Neumann paradigm ensures that the process of computation is its own provenance record.

Formal Definition

PMA is defined as a system ⟨R, C, ·, O⟩:

• Transformation Register (R): Stores encoded transformation functions.
• Canonical Input Generator (C): Produces standardized reference signals to ensure consistency.
• Composition Operator (·): Combines transformation functions to create complex reasoning chains.
• Observation Interface (O): Produces outputs by applying these transformations to inputs.

Emergent Architectural Properties

The transformation-based design yields five properties that collectively enable verifiable computation:

• Structural Auditability — The reasoning chain is the computation itself, not a reconstruction after the fact.
• Transparent Reasoning — Every step in a decision process is inspectable by construction.
• Enforced Constraints — Safety and authorization rules are structural requirements of the architecture, not advisory policies.
• Tamper Evidence — Any modification to the reasoning chain is detectable through the mathematical structure.
• Reversibility — Computations can be inverted, enabling verification that a result was produced by the claimed process.

Applications

PMA provides the theoretical foundation for systems that require verifiable, safe, and transparent decision-making in high-consequence environments — including defense, healthcare, financial services, and autonomous systems governance. 

Luminareware's Liora ARIA™ platform is the engineering realization of Processual Memory Architecture, implementing these properties as an operational system with cryptographic commitment, formal reasoning, and Decision Lifecycle Verification.

Diacont, W. D. (2026). Processual Memory Architecture: A Transformation-Based Framework for Verifiable Computation and Safety-by-Construction AGI.

Available on: SSRN | Zenodo

DOI: 10.5281/zenodo.18643582