English

Positive Robinson theories and h-maximal models

Logic 2018-12-27 v1

Abstract

In this paper we continue the exploration of the classes of positively closed and h-maximal model of an h-inductive theory in the context of positive logic. In the section 2 we give a concrete description of the class of h-maximal models of an h-inductive theory and theirs companion theories. The section 3 is concerned to the study of the positive Robinson and locally positive Robinson theories and their connexion with the properties of the class of h-maximal models of the companion theories, and their connexion with the property of elimination of quantifiers. Before dealing with the topics mentioned above we give in section 1 a brief introduction to the positive model theory.

Cite

@article{arxiv.1812.09696,
  title  = {Positive Robinson theories and h-maximal models},
  author = {M. Belkasmi},
  journal= {arXiv preprint arXiv:1812.09696},
  year   = {2018}
}
R2 v1 2026-06-23T06:54:52.263Z