Algebraic model to formalize the sentences and their context for texts written in the Spanish language

Abstract

This paper introduces a model based on set theory and modern algebra that formalizes sentences and their context. The model aims at dividing sentences into cores which will be mapped into sets of an algebraic space; some of these cores have a type of context called strictly linguistic context. These sets along with an operation form Abelian groups. In addition, the model defines a function that can completely (or partially) restore the original sentence from such sets while guaranteeing its structure and meaning. This could be accomplished through queries that compare contexts and activate the task of restoring sentences. The use case scenario has been limited to the Spanish language. All these processes can be applied in many scenarios, but our focus lies in the dynamic creation of small theories.