Invariant Forge LLC

Deterministic methods
for uncertain systems.

Invariant Forge LLC develops and licenses the DSFB deterministic causal estimation framework — formal architecture for residual-based state interpretation, trust estimation, and supervisory diagnostics in safety-critical and high-integrity systems.

Delaware LLC No. 10529072
Prior art via Zenodo DOI publications
Non-exclusive domain-restricted licensing

The DSFB stack.

A layered deterministic architecture for causal estimation, residual interpretation, and trust-monotone state supervision. Each layer is formally specified, independently publishable, and licensed separately by application domain.

The stack operates as a supervisory layer over existing probabilistic, neural, or stochastic host systems — reading their own residual structure with vocabulary the host does not have.

DSFB Drift-Slew Fusion Bootstrap — core sensor fusion and residual interpretation engine Foundation
HRET Hierarchical Residual-Envelope Trust — multi-level trust architecture Trust layer
ADD Algebraic Deterministic Dynamics — formal dynamical substrate Dynamics
DSCD Deterministic Structural Causal Dynamics — causal inference layer Causality
TMTR Trust-Monotone Temporal Recursion — temporal trust propagation Recursion

One framework.
Many domains.

The framework is licensed non-exclusively, domain by domain. Each licensee receives a field-restricted license to their specific application. All other domains remain reserved for separate licensing.

Reserved
Safety-Critical Certification — DO-178C, DO-254, ARP4754A, MIL-STD
Reserved
Aerospace Navigation / A-PNT
Reserved
Computer Graphics & Rendering
Reserved
Generative AI Supervision
Reserved
Industrial Process Monitoring
Reserved
Medical Diagnostics
Reserved
Power Grid & Energy
Reserved
Automotive Safety — ISO 26262
Reserved
Flight Data Analysis
Reserved
Space Systems
Reserved
Structural Health Monitoring
Reserved
Marine & Subsurface

Prior art via
Zenodo DOI.

All framework components are established as prior art through timestamped Zenodo publications, crates.io registrations, and GitHub commit history predating any commercial agreement. Background IP developed entirely at private expense.

DSFB-RF Structural Semiotics Engine for RF Signal Monitoring - A Deterministic, Non-Intrusive Observer Layer for Typed Structural Interpretation of IQ Residual Streams in Electronic Warfare, Spectrum Monitoring, and Cognitive Radio
Zenodo · 2026 · 10.5281/zenodo.19702330 · Riaan de Beer, Invariant Forge LLC
DSFB-Database: A Deterministic, Read-Only Structural Observer for Residual Trajectories in SQL Database Telemetry: An Empirical Prior-Art Demonstration on Five Public Workloads
Zenodo · 2026 · 10.5281/zenodo.19656368 · Riaan de Beer, Invariant Forge LLC
DSFB Structural Semiotics Engine for Deterministic Rust Crate Auditing: A Non-Intrusive Deterministic Augmentation Layer for Structural Code Quality Interpretation and Certification Compliance Estimation
Zenodo · 2026 · 10.5281/zenodo.19600872 · Riaan de Beer, Invariant Forge LLC
DSFB: Structural Residual Semiotics Engine for Upstream and Midstream Oil and Gas Systems
Zenodo · 2026 · 10.5281/zenodo.19549262 · Riaan de Beer, Invariant Forge LLC
DSFB Structural Semiotics Engine for Gas Turbine Jet Engine Health Monitoring: A Deterministic Augmentation Layer for Typed Residual Interpretation over Engine Health Monitoring, Gas Path Analysis, and Prognostics and Health Management Systems in Aircraft and Industrial Gas Turbine Applications
Zenodo · 2026 · 10.5281/zenodo.19498878 · Riaan de Beer, Invariant Forge LLC
DSFB Structural Semiotics Calculus Endoduction as a Fourth Mode of Inference: Formal Syntax, Composition Rules, and Provable Properties of Endoductive Inference over Residual Trajectories
Zenodo · 2026 · 10.5281/zenodo.19446580 · Riaan de Beer, Invariant Forge LLC
DSFB and Computer Graphics: Deterministic Structural Semiotics - A Narrow Wedge for Structural Supervision of Trust-Regulated Temporal Reuse - A Deterministic Observer Layer for Graphics Diagnostics, Auditability, and Low-Risk Integration
Zenodo · 2026 · 10.5281/zenodo.19432403 · Riaan de Beer, Invariant Forge LLC
DSFB Structural Semiotics Engine for Semiconductor Process Control - A Deterministic Augmentation Layer for Typed Residual Interpretation for Fault Detection and Run-to-Run Variation in Advanced Manufacturing
Zenodo · 2026 · 10.5281/zenodo.19413110 · Riaan de Beer, Invariant Forge LLC
Residual Streams in Gradient Flows: Drift-Slew Decomposition of Optimization Residuals as a Convergence Diagnostic and Saddle-Proximity Indicator
Zenodo · 2026 · 10.5281/zenodo.19410569 · Riaan de Beer, Invariant Forge LLC
Residual Streams in the Three-Body Problem: Drift-Slew Decomposition of Integration Residuals as a Model-Free Dynamical Regime Indicator
Zenodo · 2026 · 10.5281/zenodo.19410239 · Riaan de Beer, Invariant Forge LLC
Residual Trajectories as Primary Epistemic Objects: Drift-Slew Decomposition of Laplacian Relaxation and the Spectral Fingerprint of Graph Structure
Zenodo · 2026 · 10.5281/zenodo.19382012 · Riaan de Beer, Invariant Forge LLC
DSFB Structural Semiotics Engine for Battery Health Monitoring: A Deterministic Early-Warning Framework for Capacity Fade, Internal Resistance Drift, and Knee-Onset Detection in Safety-Critical Energy Storage Systems
Zenodo · 2026 · 10.5281/zenodo.19339713 · Riaan de Beer, Invariant Forge LLC
DSFB Structural Semiotics Engine: A Survey of Applications Across Safety-Critical Domains - Prior Art Establishment and Domain Instantiation Framework for Deterministic Residual-Based Structural Interpretation
Zenodo · 2026 · 10.5281/zenodo.19204366 · Riaan de Beer, Invariant Forge LLC
DSFB Structural Semiotics Engine for General Systems: A Deterministic Endoduction Framework for Residual-Based Meaning Extraction
Zenodo · 2026 · 10.5281/zenodo.19176473 · Riaan de Beer, Invariant Forge LLC
Deterministic Structural Inference in Solid-State Systems: A DSFB Engine for Crystal Lattices, Phonons, and Structural Forensics — Operator-Theoretic Detectability and Scaling Laws
Zenodo · 2026 · 10.5281/zenodo.19102789 · Riaan de Beer, Invariant Forge LLC
Deterministic Spectral Residual Inference for Swarm Interaction Networks: A DSFB Framework for Structural Phase Stability
Zenodo · 2026 · 10.5281/zenodo.19073826 · Riaan de Beer, Invariant Forge LLC
Alternative Deterministic Structural Inference: The DSFB Stack for Reconstruction, Causal Architecture, Trust Recursion, and Historical Replay
Zenodo · 2026 · 10.5281/zenodo.19028440 · Riaan de Beer, Invariant Forge LLC
Trust-Monotone Temporal Recursion in Deterministic Structural Dynamics
Zenodo · 2026 · 10.5281/zenodo.18998208 · Riaan de Beer, Invariant Forge LLC
Deterministic Causal Dynamics for Safety-Critical Autonomous Systems — Trust-Controlled Causal Topology (TCCT) and Structural Regime Dynamics (SRD)
Zenodo · 2026 · 10.5281/zenodo.18976566 · Riaan de Beer, Invariant Forge LLC
Deterministic Structural Causal Dynamics (DSCD): Trust-Gated Emergence of Certifiable Causal Graphs for Safety-Critical Aerospace Autonomy
Zenodo · 2026 · 10.5281/zenodo.18867217 · Riaan de Beer, Invariant Forge LLC
Algebraic Deterministic Dynamics (ADD): A Non-Stochastic Structural Extension of DSFB
Zenodo · 2026 · 10.5281/zenodo.18830567 · Riaan de Beer, Invariant Forge LLC
Deterministic Disturbance Modeling Framework for Residual-Envelope Fusion Systems
Zenodo · 2026 · 10.5281/zenodo.18806150 · Riaan de Beer, Invariant Forge LLC
Hierarchical Residual-Envelope Trust: A Deterministic Framework for Grouped Multi-Sensor Fusion
Zenodo · 2026 · 10.5281/zenodo.18783283 · Riaan de Beer, Invariant Forge LLC
Slew-Aware Trust-Adaptive Nonlinear State Estimation for Oscillatory Systems With Drift and Corruption
Zenodo · 2026 · 10.5281/zenodo.18642887 · Riaan de Beer, Invariant Forge LLC
Trust-Adaptive Multi-Diagnostic Weighting for Magnetically Confined Plasma State Estimation
Zenodo · 2026 · 10.5281/zenodo.18644561 · Riaan de Beer, Invariant Forge LLC
Drift–Slew Fusion Bootstrap: A Deterministic Residual-Based State Correction Framework
Zenodo · 2026 · 10.5281/zenodo.18706455 · Riaan de Beer, Invariant Forge LLC
Deterministic Drift–Slew Fusion Bootstrap for Navigation During Plasma Blackout in Hypersonic Re-Entry Vehicles
Zenodo · 2026 · 10.5281/zenodo.18711897 · Riaan de Beer, Invariant Forge LLC
View all publications on Zenodo ↗

Clear box.
Auditable by design.

The DSFB framework is available for non-exclusive, domain-restricted commercial licensing. Each license covers a specific application domain, geographic scope, and program context. No exclusivity is granted in any agreement.

The framework's deterministic residual envelope architecture produces auditable, replayable evidence records — a structural advantage in certification contexts (DO-178C, ARP4754A) where probabilistic methods cannot satisfy traceability requirements on their own.

IP Notice. Publications in the DSFB series are released under CC BY 4.0. The CC BY 4.0 license applies to the text and figures of those works as written works and does not constitute a license to the theoretical framework, formal constructions, or methods described therein.

Reference implementations, Rust crates, and Colab notebooks are released under the Apache 2.0 license. The Apache 2.0 license applies solely to those software artifacts and does not constitute a license to the underlying theoretical framework or architectural methods.

The theoretical framework, formal constructions, and supervisory methods constitute proprietary Background IP of Invariant Forge LLC (Delaware LLC No. 10529072), prior art established via Zenodo DOI publications. Commercial deployment, integration, or derivative use — including re-derivation by abstraction, equivalent reformulation, or domain translation — requires a separate written license. Licensing inquiries: ten.egroftnairavni@gnisnecil

Built on the
shoulders of giants.

Decades of foundational work in probabilistic estimation, statistical signal processing, and uncertainty quantification underpin modern engineering systems. Kalman filtering, Bayesian inference, stochastic control, and statistical decision theory have enabled reliable operation across aerospace, navigation, robotics, and safety-critical infrastructure. These methods have made the world measurably safer.

The DSFB framework does not seek to replace these contributions. It builds upon them. The meta-residual perspective relies directly on estimator outputs and internal uncertainty representations — treating them as structured signals rather than scalar summaries. The interpretability DSFB offers is only possible because of the probabilistic machinery developed over many decades.

As probabilistic systems grow in capability, complexity, and autonomy, the need to interpret and reason about their behavior becomes correspondingly more critical. Deterministic structural interpretation does not compete with probabilistic estimation — it makes probabilistic estimation more transparent, more diagnosable, and more amenable to formal reasoning. The two are complementary by design.

Invariant Forge LLC views this work as a continuation of, and contribution to, a broader lineage of research that seeks to make uncertain systems not only estimable, but also interpretable and trustworthy.

Licensing
inquiries.

Invariant Forge LLC accepts licensing inquiries from operators in any reserved domain. All licenses are non-exclusive and field-restricted. Initial inquiries are held in strict confidence.

Licensing inquiries
[loading]

General licensing, domain availability, and commercial terms

Research contact
[loading]

Technical questions, publication collaboration, framework architecture