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This research aims to create governance frameworks using mathematics for autonomous systems in complex regulatory settings.

January 17, 2026Open Access

Mathematical Governance Infrastructure for Autonomous Systems

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Key Points

This research aims to create governance frameworks using mathematics for autonomous systems in complex regulatory settings.
Developed mathematical operators to define system boundaries.
Created sensor-agnostic perception abstractions for flexibility.
Implemented deny-by-default permission matrices for data fusion.
Formulated autonomy envelopes to manage ambiguity.
Established formal audit trails for oversight.
Demonstrated improved fail-closed behaviors in system design.
Enabled robust governance in diverse applications like defense and finance.
Achieved effective compliance frameworks for autonomous operation.

Abstract

Mathematical Governance Infrastructure for Autonomous Systems ruahAI provides constraint-based governance frameworks for autonomous systems in legally fragmented environments. Specifications define system boundaries through mathematical operators, enabling fail-closed behavior by design. Core Features:- Sensor-agnostic perception abstraction- Deny-by-default fusion permission matrices- Autonomy envelopes with monotonic restriction under ambiguity- Perception-to-governance state translation- Adversarial awareness protocols- Formal audit trace generation Delivery Formats:Mathematical operators (LaTeX/PDF), Infrastructure-as-Code (Terraform/OPA), policy kernels (JSON/YAML), solver-ready formulations (MIP/CVXPY), verification artifacts (Z3/Dafny), natural language specifications. Applications:Defense (sensor fusion, coalition ops), Finance (AML compliance), Municipal Administration, Hardware Governance (AI chips). Licensing: Non-exclusive commercial. Unlimited internal use. No IP transfer. Derivative rights retained by author. Author: Winfried Brueckner (ruahAI Kleingewerbe)ORCID: 0009-0009-0008-5263Contact: brueckner@bw-ruah.de | https://bw-ruah.de

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W. H. Brueckner

Mesit (Czechia)

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Mathematical Governance Infrastructure for Autonomous Systems

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