963 citations
- Institut national de recherche en sciences et technologies du numériqueFR180 papers
- Université de LorraineFR149 papers
- Centre National de la Recherche ScientifiqueFR148 papers
- Centre Inria de l'Université de LorraineFR41 papers
- Sorbonne UniversitéFR19 papers
- Université Paris-SaclayFR15 papers
- Laboratoire d'Informatique de Paris-NordFR14 papers
- Université Sorbonne Paris NordFR14 papers
- Computer Algorithms for MedicineAT11 papers
- CentraleSupélecFR10 papers
- Institut de Recherche en Informatique de ToulouseFR10 papers
- MOCQUA: Modèles de calcul émergentsFR10 papers
56 papers · 1 filter
A Typing System for the Linear Lambda-Calculus in de Bruijn Notation
Philippe de Groote, Vincent Tourneur
We introduce a typing system that is particularly well suited for typing the linear lambda-calculus in de Bruijn notation. This typing discipline, which is reminiscent of Hodas' an…
Bifurcation Logic: Separation Through Ordering
Didier Galmiche, Timo Lang, Daniel Méry +1
We introduce Bifurcation Logic, BL, which combines a basic classical modality with separating conjunction * together with its naturally associated multiplicative implication, that…
Resource-Aware Quantum Programming with General Recursion and Quantum Control
Kostia Chardonnet, Emmanuel Hainry, Romain Péchoux +1
This paper introduces the hybrid quantum language with general recursion , driven towards resource-analysis. By design, does not require the specif…
A Quantum-Control Lambda-Calculus with Multiple Measurement Bases
Alejandro Díaz-Caro, Nicolas A. Monzon
We introduce Lambda-SX, a typed quantum lambda-calculus that supports multiple measurement bases. By tracking duplicability relative to arbitrary bases within the type system, Lamb…
IMALL with a Mixed-State Modality: A Logical Approach to Quantum Computation
Kinnari Dave, Alejandro Díaz-Caro, Vladimir Zamdzhiev
We introduce a proof language for Intuitionistic Multiplicative Additive Linear Logic (IMALL), extended with a modality B to capture mixed-state quantum computation. The language s…
Towards a Computational Quantum Logic: An Overview of an Ongoing Research Program
Alejandro Díaz-Caro
This invited paper presents an overview of an ongoing research program aimed at extending the Curry-Howard-Lambek correspondence to quantum computation. We explore two key framewor…