Mathematical Autopsy
Our math-first methodology transforms ambiguous intent into deterministic execution. Decompose problems, formalize the math, define invariants, and gate execution with proofs.
We prove, then build.
What Mathematical Autopsy Delivered for RFS
Mathematical Autopsy transformed RFS from concept to proven implementation. The rigorous process delivered mathematical guarantees, executable proofs, and deterministic behavior.
YAML specifications with mathematical constraints
Executable proofs with deterministic results
Same inputs always produce same outputs
Core Principles
Math First
Mathematical foundations defined before code. Every feature begins with rigorous mathematical validation.
Invariants
YAML invariants encode guarantees. Validated automatically before every merge. Violations block deployment.
Verification
Notebooks prove invariants with executable code. Deterministic execution with fixed seeds ensures reproducibility.
CI Enforcement
Automated validation before deployment. Mathematical proof gates prevent untested code from shipping.
The 5-Phase Process
Mathematical Autopsy transforms requirements into proven implementations through a rigorous pipeline.
Intent & Description
Problem statement written with context. Conceptual significance documented in plain English for all stakeholders.
Before any code is written, we document what we're building and why. This includes the problem statement, success criteria, and conceptual significance. Stakeholders understand the goal before mathematical formalization begins.
Mathematical Foundation
Definitions & notation documented. Formal operators specified with equations, complexity analysis, and implementation notes.
All mathematical concepts are formally defined with precise notation. Operators are specified with equations, complexity bounds, and implementation guidance. This creates the mathematical contract that code must satisfy.
Lemma Development
YAML Invariant created, Markdown Lemma written, added to index. Mathematical guarantees formalized and indexed.
Mathematical guarantees are formalized as lemmas with proofs. YAML invariants encode operational constraints. Both are indexed and cross-referenced, creating a searchable mathematical knowledge base.
Verification
Verification notebook created with VERIFY:L cells. Artifact JSON exported. Notebook runs successfully with deterministic results.
Executable verification notebooks prove that lemmas hold under test conditions. VERIFY:L cells contain assertions that must pass. Artifacts are exported for CI validation, ensuring proofs are reproducible.
CI Enforcement
Artifact registered in docs. Invariant status: draft → accepted. Lemma status: Draft → Rev X.Y. All gates enforced in CI.
CI gates automatically validate invariants and run verification notebooks before code merges. Invariant status transitions from draft to accepted only after verification passes. Deployments are blocked if mathematical contracts are violated.
Who Needs Mathematical Autopsy?
Regulated Industries
Complete audit trail from requirement to implementation. Every decision traceable and provable for compliance.
Financial services, healthcare, and government sectors require complete provenance tracking. Mathematical Autopsy provides immutable evidence chains that satisfy regulatory audits. Every operation links back to formal specifications, making compliance verification straightforward and defensible.
Critical Systems
Mathematical proof before deployment. No ambiguity in safety-critical implementations.
Aerospace, medical devices, and autonomous systems cannot tolerate uncertainty. Mathematical Autopsy ensures that every behavior is mathematically guaranteed, not just tested. Invariants block deployments that violate safety constraints, preventing catastrophic failures before they reach production.
AI Engineering
Transform complex AI workflows into deterministic pipelines with guaranteed behavior.
AI systems often behave unpredictably due to non-deterministic components and complex interactions. Mathematical Autopsy decomposes AI workflows into provable mathematical operations. Each component has formal specifications, enabling engineers to reason about system behavior and guarantee outcomes even in complex multi-agent scenarios.
Enterprise Trust
Build confidence through transparency. Every output grounded in an intermediate symbolic step.
Enterprise adoption requires trust that systems will behave as expected under all conditions. Mathematical Autopsy provides transparency through formal proofs and executable verification. Stakeholders can verify guarantees themselves rather than relying on vendor claims, building confidence through mathematical rigor rather than marketing promises.
You Don't Have to Trust Us
You can verify the mathematics yourself. Every guarantee is publicly documented, formally proven, automatically enforced, and validated before deployment. This is the difference between "we tested it" and "we proved it."
Ready to Prove Your AI's Reasoning?
Mathematical Autopsy transforms black-box AI into transparent, provable systems. Every decision traced, every output verified.