Bruno Teheux

Research Interests

Currently, I am mostly interested in the following areas:

• (co)-algebraic approaches to modal and many-valued logics and their applications to computer science, game theory and social choice,
• universal algebra and topological dualities (including natural dualities),
• order and lattice theory,
• functional equations and inequations arising from decision mathematics,
• algebraic approach to aggregation function theory and qualitative integrals,

Short CV

•  2023 -         Assistant Professor, Departement of Mathematics, University of Luxembourg, Luxembourg.
•  2017 - 2022       Research Scientist in the Departement of Mathematics, University of Luxembourg, Luxembourg.
•  2012 - 2017   Associate Researcher in the Mathematics Research Unit, University of Luxembourg, Luxembourg.
•  2010 - 2012   General Secretary, Association Animath, Paris.
•  2002 - 2010   Assistant in the Departement of Mathematics, University of Liège, Belgium.

•   2009   PhD in mathematics,`Algerabic approach to modal extensions of Łukasiewicz logics', University of Liège, Belgium.

Articles published in peer-reviewed journals

The following references are linked to the orbilu depository, from which author postprints can usually be downloaded.

•    ALexander Kurz, Wolfgang Poiger and Bruno Teheux. New perspectives on semi-primal varieties. Journal of pure and applied algebra, 228(4):107525, 2024.
•    Wolfgang Poiger and Bruno Teheux. The Minor Order of Homomorphisms via Natural Dualities. Order, 40:99-125, 2023.
•    Georges Hansoul and Bruno Teheux. Extending maps to profinite completions in finitely generated quasivarieties. Contributions to Algebra and Geometry, 61(4):627 -- 647, 2020.
•    Jimmy Devillet, Jean-Luc Marichal and Bruno Teheux. Classifications of quasitrivial semigroups. Semigroup Forum, 100(3):743 -- 764, 2020.
•    Jimmy Devillet and Bruno Teheux. Associative, Idempotent, Symmetric, and Order-preserving Operations on Chains. Order, 37(1):45 -- 58, 2020.
•    Gergely Kiss, Jean-Luc Marichal and Bruno Teheux. Generalization of the concept of distance based on the simplex inequality. Contributions to Algebra and Geometry, 59(2):247 - 266, 2018.
•    Miguel Couceiro and Bruno Teheux. Pivotal decomposition schemes inducing clones of operations. Contributions to Algebra and Geometry, 59(1):25 -- 40, 2018.
•    Didier Dubois, Henri Prade, Agnès Rico and Bruno Teheux. Generalized qualitative Sugeno integrals. Information Sciences, 415 - 416:429 - 445, 2017.
•    Tomáš Kroupa and Bruno Teheux. Modal extensions of Łukasiewicz logic for modelling coalitional power. Journal of Logic and Computation, 27(1):129 - 154, 2017
•    Jean-Luc Marichal and Bruno Teheux. On the generalized associativity equation. Aequationes Mathematicae, 91:265 - 277, 2017.
•    Miguel Couceiro, Jean-Luc Marichal and Bruno Teheux. Relaxations of associativity and preassociativity for variadic functions. Fuzzy Sets and Systems, 299:89 - 97, 2016
•    Miguel Couceiro, Jean-Luc Marichal, and Bruno Teheux. Conservative median algebras and semilattices. Order, 33(1):121 - 132, 2016.
•    Jean-Luc Marichal and Bruno Teheux. Strongly barycentrically associative and preassociative functions. Journal of Mathematical Analysis and Applications, 437:181 - 193, 2016.
•    Jean-Luc Marichal and Bruno Teheux. A characterization of barycentrically preassociative functions. Results in Mathematics, 69(01): 245 - 256, 2016
•    Bruno Teheux. Modal definability for Łukasiewicz validity relations. Studia Logica, 104(2):343 - 363, 2016.
•    Jean-Luc Marichal and Bruno Teheux. Preassociative aggregation functions. Fuzzy Sets and Systems, 268:15 - 26, 2015.
•    Jean-Luc Marichal and Bruno Teheux. Barycentrically associative and preassociative functions. Acta Mathematica Hungarica, 145(2):468 - 488, 2015.
•    Erkko Lehtonen, Jean-Luc Marichal, and Bruno Teheux. Associative string functions. Asian-European Journal of Mathematics, 07(04):1450059, 2014.
•    Jean-Luc Marichal and Bruno Teheux. Pivotal decompositions of functions. Discrete Applied Mathematics, 174:102 - 112, 2014.
•    Jean-Luc Marichal and Bruno Teheux. Associative and preassociative functions. Semigroup Forum, 89(2):431 - 442, 2014.
•    Bruno Teheux. Propositional dynamic logic for searching games with errors. Journal of Applied Logic, 12(4):377 - 394, 2014.
•    Georges Hansoul and Bruno Teheux. Extending Łukasiewicz logics with a modality: Algebraic approach to relational semantics. Studia Logica, 101(3):505 - 545, 2013.
•    Philippe Niederkorn, Pierre Mathonet and Bruno Teheux. Natural dualities for varieties generated by a set of subalgebras of a semi-primal algebra. Algebra and Discrete Mathematics, (1):67 - 85, 2007.
•    Bruno Teheux. Lattice of subalgebras in the finitely generated varieties of MV-algebras. Discrete Mathematics, 307(17–18):2261 - 2275, 2007.
•    Bruno Teheux. A duality for the algebras of a Łukasiewicz n+1-valued modal system. Studia Logica, 87(1):13 - 36, 2007.

Submitted or unpublished articles and dissertations

The following references are linked to a depository (orbi or arXiv), from which author preprints can be downloaded.

•    Alexander Kurz, Wolfgang Poiger and Bruno Teheux. Many-valued coalgebraic logic over semi-primal varieties. Submitted.
•    Bruno Teheux. Algebraic approach to modal extensions of Łukasiewicz logics. Phd thesis, University of Liège, Liège, 2009
•    Georges Hansoul and Bruno Teheux. Completeness results for many-valued Łukasiewicz modal systems and relational semantics. Working paper, 2006.