Formal Proof Systems

Advancing computational trust through mathematical rigor and program verification.

Foundations of Proof Systems

Soundness

Ensures every provable statement is true within the system. No false positives in our verification pipelines.

Completeness

Every true mathematical statement can be formally proven within our axiomatic frameworks.

Efficiency

Practical proof systems must balance completeness with computational tractability in cryptographic applications.

Real-World Applications

Proof systems form the foundation of modern cryptographic protocols, automated reasoning, and formal verification.

Zero-Knowledge Proofs

zk-SNARKs and other zero-knowledge systems enable privacy-preserving transactions without revealing sensitive data.

Formal Software Verification

Guaranteeing correctness of critical systems like smart contracts and aerospace software using theorem provers.

Research Initiatives

muomsg

Quantum-Resistant Proof Systems

Developing post-quantum cryptographic constructions resistant to both classical and quantum adversaries while maintaining efficient proof verification.

Active since Q4 2024

Interactive Proof Protocols

Researching multi-party proof systems architectures that enable collaborative verification with minimal trust assumptions.

Collaboration with MIT & TUM

Automated Theorem Proving

Creating AI-driven proof assistants systems that learn from vast formal mathematics corpora to speed up verification workflows.

Sponsored by EU Commission

Join the Formal Verification Revolution

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