Applying CHC Models to Reasoning in Fictions

Abstract

In figuring out the complete content of a fictional story, all kinds of consequences are drawn from the explicitly given material. It may seem natural to assume a closure deductive principle for those consequences. Notwithstanding, the classical closure principle has notorious problems because of the possibility of inconsistencies. This paper aims to explore an alternative approach to reasoning with the content of fictional works, based on the application of a mathematical model for conjectures, hypotheses and consequences (abbr. CHCs); extensively developed during the last years by Enric Trillas and some collaborators, with which deduction in this setting becomes more comprehensive.