Tableau formulations are given for the relevance logics E (Entail? ment), R (Eelevant implication) and RM (Mingle). Proofs of equivalence to modus-ponens-based formulations are via" left-handed" Gentzen sequenzen-kalk?le. The tableau formulations depend on a detailed analysis of the structure of tableau rules, leading to certain "global requirements". Eelevanceis caught by the requirement that ...

MetTeL is a generic tableau prover for various modal, intuitionistic, hybrid, description and metric logics. The core component of MetTeL is a logic-independent tableau inference engine. A novel feature is that users have the ability to flexibly specify the set of tableau rules to be used in derivations. Termination can be achieved via a generalisation of a standard loop checking mechanism or u...

We present a tableau system for the model checking problem of the linear time /*-calculus. It improves the system of Stifling and Walker by simplifying the success condition for a tableau. In our system success for a leaf is determined by the path leading to it, whereas Stifling and Walker's method requires the examination of a potentially infinite number of paths extending over the whole tableau.

In this paper we develop labelled and uniform tableau methods for some fundamental system of propositional conditional logics. We consider the well-known system CE (that can be seen as a generalization of preferential nonmonotonic logic), and some related systems. Our tableau proof procedures are based on a possible-worlds structures endowed with a family of preference relations. The tableau pr...

We present tableau calculi for the logics Dk (k ≥ 2) semantically characterized by the classes of Kripke models built on finite k-ary trees. Our tableau calculi use the signs T and F, some tableau rules for Intuitionistic Logic and two rules formulated in a hypertableau fashion. We prove the Soundness and Completeness Theorems for our calculi. Finally, we use them to prove the main properties o...

Pak and Vallejo have defined fundamental symmetry map as any Young tableau bijection for the commutativity of the Littlewood-Richardson coefficients cμ,ν = cν,μ. They have considered four fundamental symmetry maps and conjectured that they are all equivalent (2004). The three first ones are based on standard operations in Young tableau theory and, in this case, the conjecture was proved by Dani...

We define a procedure for translating given first-order formula to an equivalent modal formula, if one exists, by using tableau-based bisimulation invariance test. A previously developed tableau tests of and therefore whether that is the standard translation some formula. Using closed as starting point, we show how can be effectively obtained.

Objectives Big data analysis is receiving increasing attention in many industries, including healthcare. Visualization plays an important role not only in intuitively showing the results of data analysis but also in the whole process of collecting, cleaning, analyzing, and sharing data. This paper presents a procedure for the interactive visualization and analysis of healthcare data using Table...