Abstract

A production-ready computer system and method for deterministic reasoning and computation over three foundational components: primitives (atomic, typed values), formulas (expressions derived from axioms), and axioms (immutable domain rules). The system comprises a primitives registry, axiom store, formula compiler, reasoning engine, memory degradation system, and modality engines for generating natural language explanations, executable code, visual diagrams, and engineering documentation.

Key Innovation: Bidirectional English ↔ formula translation with automatic axiom grounding, deterministic auditable computation, tiered memory management, and multi-modal output generation from a single unified reasoning core.

Applications: Scientific computing, engineering design, aerospace, financial risk analysis, healthcare, manufacturing, energy systems, and any domain requiring formal reasoning, deterministic rules, and auditable decision chains.

BACKGROUND

Problem

Most computational systems separate:

  • Reasoning (what rules apply?)

  • Execution (what is the answer?)

  • Documentation (why did we do this?)

  • Code generation (how do we automate it?)

This fragmentation leads to:

  • Inconsistency between documentation and actual behavior

  • Loss of traceability when rules change

  • Difficulty generating domain-specific outputs (code, specs, diagrams)

  • No automatic degradation of historical data

  • Coupling between reasoning logic and specific output formats

Solution: GENESIS Framework

A unified system where:

  1. Axioms (immutable rules) are the single source of truth

  2. Formulas (derived

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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