In this paper we compare the expressive power of elementary representation formats for vague, incomplete or conflicting information. These include Boolean valuation pairs introduced by Lawry and Gonzalez-Rodriguez, orthopairs of sets of variables, Boolean possibility and necessity measures, three-valued valuations, supervaluations. We make explicit their connections with strong Kleene logic and...

We construct a real valued dimension for arbitrary modules over the algebra of operators affiliated to a finite von Neumann algebra. Moreover we determine the algebraic K0and K1-group and the Lgroups of such an algebra.

‎Let $mathscr{L}$ be a commutative subspace lattice generated by finite many commuting independent nests on a complex separable Hilbert space $mathbf{H}$ with ${rm dim}hspace{2pt}mathbf{H}geq 3$‎, ‎${rm Alg}mathscr{L}$‎ ‎the CSL algebra associated with $mathscr{L}$ and $mathscr{M}$ be an algebra containing ${rm Alg}mathscr{L}$‎. ‎This article is aimed at describing the form of‎ ‎additive mapppi...

s of the Talks In the order in which the talks were given. Walter Carnielli – Non-deterministic Semantics 5 Matthias Baaz – Analytic Calculi for Many-valued Logics 5 Hiroakira Ono – Many-valued Logics as Logics without the Contraction Rule 6 Reiner Hähnle – Proof Theory of Many-valued Logic and Hardware Design 7 Gonzalo Escalada-Imaz – Determining the Truth Degree in Real Time Settings 7 Peter ...