Algebraic Model to Formalize the Sentences and Their Context for Texts Written in the Spanish Language

  • Edgardo Samuel Barraza VerdesotoEmail author
  • Edwin Rivas TrujilloEmail author
  • Víctor Hugo Medina GarcíaEmail author
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 959)


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.


Algebraic structure Abelian group Context Nominal phrases Verbal cores Small theories 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of SevilleSevilleSpain
  2. 2.University Distrital Francisco José de CaldasBogotáColombia

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