Publications

Below is a list of contributions that I co-authored, encompassing the entries in Google Scholar and DBLP (see also Orcid). The colors are inspired from DBLP's classification:

• ■ preprints
• ■ journals
• ■ conferences
• ■ workshops, conferences without (published) proceedings
• ■ thesis

• The $E$-base of Finite Semidistributive Lattices
  Kira Adaricheva, Simon Vilmin, 2025
  • ■ arXiv
  • ■ submitted to CONCEPTS 2025
• Computing the $D$-base and $D$-relation in Finite Closure Systems
  Kira Adaricheva, Lhouari Nourine, Simon Vilmin, 2024
  • ■ arXiv, HAL
  • ■ under review in Theoretical Computer Science (TCS)
  • ■ ISAIM 2024 [conference version]
• Half-space Separation in Monophonic Convexity
  Mohammed Elaroussi, Lhouari Nourine, Simon Vilmin, 2024
  • ■ arXiv, HAL
  • ■ under review in Information and Computation (IC)
  • ■ MFCS 2024 [proceedings]
• On the Enumeration of Signatures of XOR-CNF's
  Nadia Creignou, Oscar Defrain, Frédéric Olive, Simon Vilmin, 2024
  • ■ arXiv, HAL
  • ■ submitted to WADS 2025
• Functional Dependencies with Predicates: What Makes the $g_3$-error Easy to Compute?
  Simon Vilmin, Pierre Faure--Giovagnoli, Jean-Marc Petit, Vasile-Marian Scuturici, 2023
  • ■ arXiv, HAL
  • ■ ICCS 2023 [proceedings]
  • ■ BDA 2022
• Hierarchical Decompositions of Implicational Bases for the Enumeration of Meet-irreducible Elements
  Lhouari Nourine, Simon Vilmin, 2022
  • ■ arXiv, HAL
  • ■ Theoretical Computer Science (TCS, 2023) [published version]
  • ■ extends Hierarchical decompositions of dihypergraphs and Dihypergraph decomposition: application to closure system representations (see below)
• On the Preferred Extensions of Argumentation Frameworks: Bijections with Naive Sets
  Mohammed Elaroussi, Lhouari Nourine, Mohammed Said Radjef, Simon Vilmin, 2022
  • ■ arXiv
  • ■ Information Processing Letters (IPL, 2022) [published version]
  • ■ WEPA 2022
• Algorithms on Closure systems and their representation
  Simon Vilmin, 2021
  • ■ HAL
• Towards Declarative Comparabilities: Application to Functional Dependencies
  Lhouari Nourine, Jean-Marc Petit, Simon Vilmin, 2021
  • ■ arXiv, HAL
  • ■ Journal of Computer and System Sciences (JCSS, 2024) [published version]
  • ■ BDA 2021
• Enumerating maximal consistent closed sets in closure systems
  Lhouari Nourine, Simon Vilmin, 2021
  • ■ arXiv
  • ■ ICFCA 2021 [proceedings]
  • ■ WEPA 2022
• Dihypergraph decomposition: application to closure system representations
  Lhouari Nourine, Simon Vilmin, 2020
  • ■ HAL
  • ■ FCAI4AI 2020 [workshop version], WEPA 2020
• Hierarchical Decompositions of Dihypergraphs
  Lhouari Nourine, Simon Vilmin, 2020
  • ■ arXiv
  • ■ ICTCS 2020 [conference version]
• Translating Between the Representations of a Ranked Convex Geometry
  Oscar Defrain, Lhouari Nourine, Simon Vilmin, 2019
  • ■ arXiv, HAL
  • ■ Discrete Mathematics (DM, 2021) [published version]
  • ■ WEPA 2019