DOCZKAL , Christian

Wagner's theorem states that a graph is planar (i.e., it can be embedded in the real plane without crossing edges) iff it contains neither K5 nor K3,3 as a minor. We provide a combinatorial representation of embeddings in the plane that abstracts from topological properties of plane embeddings (e.g., angles or distances), representing only the...

The labeled multigraphs of treewidth at most two can be described using a simple term language over which isomor-phism of the denoted graphs can be finitely axiomatized. We formally verify soundness and completeness of such an axiomatization using Coq and the mathematical components library. The completeness proof is based on a normalizing and...

We define and implement CV2EC, a translation from CryptoVerif assumptions on primitives to EasyCrypt games. CryptoVerif and EasyCrypt are two proof tools for mechanizing game-based proofs. While CryptoVerif is primarily suited for verifying security protocols, EasyCrypt has the expressive power for verifying cryptographic primitives and...

We define and implement CV2EC, a translation from CryptoVerif assumptions on primitives to EasyCrypt games. CryptoVerif and EasyCrypt are two proof tools for mechanizing game-based proofs. While CryptoVerif is primarily suited for verifying security protocols, EasyCrypt has the expressive power for verifying cryptographic primitives and...

We extend and consolidate the security justification for the Dilithium signature scheme. In particular, we identify a subtle but crucial gap that appears in several ROM and QROM security proofs for signature schemes that are based on the Fiat-Shamir with aborts paradigm, including Dilithium. The gap lies in the CMA-to-NMA reduction and was...