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- Bruno Teheux
- Studia Logica
- 2007

In this paper, we develop a duality for the varieties of a Lukasiewicz n + 1-valued modal system. This duality is an extension of Stone duality for modal algebras. Some logical consequences (such as… (More)

- Georges Hansoul, Bruno Teheux
- Studia Logica
- 2013

This paper presents an algebraic approach of some many-valued generalizations of modal logic. The starting point is the de nition of the [0, 1]-valued Kripke models, where [0, 1] denotes the well… (More)

- Erkko Lehtonen, Jean-Luc Marichal, Bruno Teheux
- ArXiv
- 2014

We introduce the concept of associativity for string functions, where a string function is a unary operation on the set of strings over a given alphabet. We discuss this new property and describe… (More)

- Jean-Luc Marichal, Bruno Teheux
- IPMU
- 2014

We investigate the associativity property for varying-arity aggregation functions and introduce the more general property of preassociativity, a natural extension of associativity. We discuss this… (More)

- Bruno Teheux
- Studia Logica
- 2016

We study two notions of definability for classes of relational structures based on modal extensions of Łukasiewicz finitely-valued logics. The main results of the paper are the equivalent of the… (More)

- Jean-Luc Marichal, Bruno Teheux
- Discrete Applied Mathematics
- 2014

We extend the well-known Shannon decomposition of Boolean functions to more general classes of functions. Such decompositions, which we call pivotal decompositions, express the fact that every unary… (More)

The main contribution of this paper is the construction of a strong duality for the varieties generated by a set of subalgebras of a semi-primal algebra. We also obtain an axiomatization of the… (More)

- Bruno Teheux
- J. Applied Logic
- 2014

We investigate some finitely-valued generalizations of propositional dynamic logic with tests. We start by introducing the n+ 1valued Kripke models and a corresponding language based on a modal… (More)

- Gergely Kiss, Jean-Luc Marichal, +30 authors Sergei Ovchinnikov
- 2016

Since the 1980s, studies of aggregation functions most often focus on the construction and formal analysis of diverse ways to summarize numerical lists with elements in some real interval. Quite… (More)

- Miguel Couceiro, Jean-Luc Marichal, Bruno Teheux
- Order
- 2016

We characterize conservative median algebras and semilattices by means of forbidden substructures and by providing their representation as chains. Moreover, using a dual equivalence between median… (More)