Boolean spectra and model completions
Bounded dually residuated lattice ordered monoids as a generalization of fuzzy structures
Bounded lattices with antitone involutions and properties of MV-algebras
We introduce a bounded lattice L = (L;∧,∨,0,1), where for each p ∈ L there exists an antitone involution on the interval [p,1]. We show that there exists a binary operation · on L such that L is term equivalent to an algebra A(L) = (L;·,0) (the assigned algebra to L) and we characterize A(L) by simple axioms similar to that of Abbott's implication algebra. We define new operations ⊕ and ¬ on A(L) which satisfy some of the axioms of MV-algebra. Finally we show what properties must be satisfied by...
Calcul syntaxique des modèles et calcul des formules internes
Canonical extensions of Stone and double Stone algebras: the natural way
Cantor-Bernstein theorem for -algebras
Carrés exacts et carrés déductifs
Categorical domain theory: Scott topology, powercategories, coherent categories.
Category-theoretic models of linear Abadi & Plotkin logic.
Certaines Équations Fonctionnelles Pesudo-Booléennes Généralisées
Certaines équations fonctionnelles pseudo-booléennes généralisées.
Characterization of a full set of probabilities on some posets.
Chromatic graphs, Ramsey numbers and the flexible atom conjecture.
Classes of filters in generalizations of commutative fuzzy structures
Bounded commutative residuated lattice ordered monoids (-monoids) are a common generalization of -algebras and Heyting algebras, i.e. algebras of basic fuzzy logic and intuitionistic logic, respectively. In the paper we develop the theory of filters of bounded commutative -monoids.
Classes of fuzzy filters of residuated lattice ordered monoids
The logical foundations of processes handling uncertainty in information use some classes of algebras as algebraic semantics. Bounded residuated lattice ordered monoids (monoids) are common generalizations of -algebras, i.e., algebras of the propositional basic fuzzy logic, and Heyting algebras, i.e., algebras of the propositional intuitionistic logic. From the point of view of uncertain information, sets of provable formulas in inference systems could be described by fuzzy filters of the corresponding...
Closure Łukasiewicz algebras
In this paper, the variety of closure n-valued Łukasiewicz algebras, that is, Łukasiewicz algebras of order n endowed with a closure operator, is investigated. The lattice of subvarieties in the particular case in which the open elements form a three-valued Heyting algebra is obtained.
Coalgebras for binary methods : properties of bisimulations and invariants
Coalgebras for endofunctors can be used to model classes of object-oriented languages. However, binary methods do not fit directly into this approach. This paper proposes an extension of the coalgebraic framework, namely the use of extended polynomial functors . This extension allows the incorporation of binary methods into coalgebraic class specifications. The paper also discusses how to define bisimulation and invariants for coalgebras of extended polynomial functors and proves many standard...
Coalgebras for Binary Methods: Properties of Bisimulations and Invariants
Coalgebras for endofunctors can be used to model classes of object-oriented languages. However, binary methods do not fit directly into this approach. This paper proposes an extension of the coalgebraic framework, namely the use of extended polynomial functors. This extension allows the incorporation of binary methods into coalgebraic class specifications. The paper also discusses how to define bisimulation and invariants for coalgebras of extended polynomial functors and proves many...
Coherence for pseudodistributive laws revisited.
Coherence of the double involution on -autonomous categories.