2014/06/11 by Boris Plotkin, Eugene Plotkin, Plotkin, Boris +1
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO
paper · pdf · doi:10.48550/arxiv.1406.3076
arXiv admin note: substantial text overlap with arXiv:1306.0778
arxiv created 2014/06/11 · arxiv updated 2014/06/13
The paper has a form of a survey and consists of three parts. It is focused on the relationship between the many-sorted theory, which leads to logical geometry and one-sorted theory, which is based on the important model-theoretic concepts. Our aim is to show that both approaches go in parallel and there are bridges which allow to transfer results, notions and problems back and forth. Thus, an additional freedom in choosing an approach appear.