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January 17, 20260 citationsOpen Access

Mathematical Governance Infrastructure for Autonomous Systems

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WBW. H. Brueckner

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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Cite This Study

W. H. Brueckner (2026) studied this question.

synapsesocial.com/papers/696b2672d2a12237a9349b02https://doi.org/10.5281/zenodo.18261583
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