An algebraic model to formalize sentences and their context: Use case scenario of 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 in 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 algebraic structures are capable to generate new members starting from the elements mapped. In Addition, the model defines a function that can restore part or the whole of the original sentence from these sets by guaranteeing its structure and meaning. All of these processes can be used for several applications, but our main interest is the dynamic creation of small theories such as microtheories; this could be accomplished through queries that compare contexts and activate the restoring of sentences. The use case scenario has been limited to the Spanish language.