Theoretical Frameworks for Zero-Knowledge Proof Integration in Autonomous Defense Systems: A Mathematical Foundation for Privacy-Preserving Security

Abstract

The proposed research presents a theoretical investigation into the integration of zero-knowledge proofs (ZKP) within autonomous defense architectures, establishing rigorous mathematical foundations for privacy-preserving security verification in next-generation cybersecurity systems. This study addresses fundamental theoretical challenges in autonomous security verification by developing novel mathematical constructs that enable privacy-preserving proof generation and verification while maintaining formal security guarantees. The research methodology encompasses the development of formal mathematical models for non-interactive zero-knowledge proof systems optimized for autonomous verification environments. These models extend existing theoretical frameworks by introducing novel constructs for proof composition and verification in distributed systems, with particular emphasis on formal security properties including completeness, soundness, and zero-knowledge characteristics.