Multi-sorted logic and logical geometry: Some problems

B. Plotkin, E. Plotkin

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


The paper has a form of a survey on basics of logical geometry and consists of three parts. It is focused on the relationship between many-sorted theory, which leads to logical geometry and one-sorted theory, which is based on 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 appears. A list of problems which naturally arise in this field is another objective of the paper.

Original languageEnglish
Pages (from-to)578-619
Number of pages42
JournalDemonstratio Mathematica
Issue number4
StatePublished - Dec 2015

Bibliographical note

Publisher Copyright:
© Faculty of Mathematics and Information Science, Warsaw University of Technology.


  • Affine space
  • Category
  • Halmos algebra
  • Logical geometry
  • Multi-sorted algebra
  • Type of a point
  • Universal algebraic geometry


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