This paper is about the dialectics of case comparison as it unfolds in legal case-based reasoning, and its aim is to provide a representation of the phenomenon in formal terms. This is done by formalising argument moves in case comparison concisely in argument schemes, and specifying attack relations between the arguments and their corresponding counterarguments. A feature that is new in resear...

A common way to express sentiment about some product in a review is by comparing it to a different product. In order to get meaningful information about the comparison, we need to identify the separate parts: the predicate that expresses the comparison, the two compared entities, and the aspect that they are compared in. In this work, we assume the sentence and the predicate to be given and wor...

There are a number of frameworks for modelling argumentation in logic. They incorporate a formal representation of individual arguments and techniques for comparing conflicting arguments. A common assumption for logic-based argumentation is that an argument is a pair 〈Φ, α〉 where Φ is minimal subset of the knowledgebase such that Φ is consistent and Φ entails the claim α. However, real argument...

In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...