English

On the existence of Free Models in Fuzzy Universal Horn Classes

Logic 2017-05-11 v2

Abstract

This paper is a contribution to the study of the universal Horn fragment of predicate fuzzy logics, focusing on some relevant notions in logic programming. We introduce the notion of term structure associated to a set of formulas in the fuzzy context and we show the existence of free models in fuzzy universal Horn classes. We prove that every equality-free consistent universal Horn fuzzy theory has a Herbrand model.

Keywords

Cite

@article{arxiv.1704.07302,
  title  = {On the existence of Free Models in Fuzzy Universal Horn Classes},
  author = {Vicent Costa and Pilar Dellunde},
  journal= {arXiv preprint arXiv:1704.07302},
  year   = {2017}
}

Comments

Journal of Applied Logic (Published online 2016)