4 citations · 8 across the 17 of their papers we have counts for
21 papers
A formalization of the CHSH inequality and Tsirelson's upper-bound in Isabelle/HOL
Mnacho Echenim, Mehdi Mhalla
We present a formalization of several fundamental notions and results from Quantum Information theory, including density matrices and projective measurements, along with the proof…
Tractable and Intractable Entailment Problems in Separation Logic with Inductively Defined Predicates
Mnacho Echenim, Nicolas Peltier
We establish various complexity results for the entailment problem between formulas in Separation Logic with user-defined predicates denoting recursive data structures. The conside…
Unbiasing and robustifying implied volatility calibration in a cryptocurrency market with large bid-ask spreads and missing quotes
Mnacho Echenim, Emmanuel Gobet, Anne-Claire Maurice
We design a novel calibration procedure that is designed to handle the specific characteristics of options on cryptocurrency markets, namely large bid-ask spreads and the possibili…
Two Results on Separation Logic With Theory Reasoning
Mnacho Echenim, Nicolas Peltier
Two results are presented concerning the entailment problem in Separation Logic with inductively defined predicate symbols and theory reasoning. First, we show that the entailment…
A Proof Procedure For Separation Logic With Inductive Definitions and Theory Reasoning
Mnacho Echenim, Nicolas Peltier
A proof procedure, in the spirit of the sequent calculus, is proposed to check the validity of entailments between Separation Logic formulas combining inductively defined predicate…
A Superposition-Based Calculus for Quantum Diagrammatic Reasoning and Beyond
Rachid Echahed, Mnacho Echenim, Mehdi Mhalla +1
We introduce a class of rooted graphs which allows one to encode various kinds of classical or quantum circuits. We then follow a set-theoretic approach to define rewrite systems o…