We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
The implementation of a correctly rounded or interval elementary function needs to be proven carefully in the very last details. The proof requires a tight bound on the overall er...
Florent de Dinechin, Christoph Quirin Lauter, Guil...
We analyze several classes of path constraints for semistructured data in a unified framework and prove some decidability and complexity results for these constraints by embedding...
—In this paper, we propose a formal analysis of domain extenders for hash functions in the indifferentiability framework. We define a general model for domain extenders and prov...
Marion Daubignard, Pierre-Alain Fouque, Yassine La...