English

On a new theory of models for formal mathematical systems

Logic 2026-05-07 v2

Abstract

We study a new model theory for formal mathematical systems that we developed in a previous paper. We introduce isomorphic and homomorphic structures for formal languages, present some results and examples and conclude our paper with a discussion about the reduced set theory RST adapted to our new theory.

Keywords

Cite

@article{arxiv.2604.12432,
  title  = {On a new theory of models for formal mathematical systems},
  author = {Matthias Kunik},
  journal= {arXiv preprint arXiv:2604.12432},
  year   = {2026}
}

Comments

17 pages. arXiv admin note: substantial text overlap with arXiv:2406.03860 We have slightly extended our paper and we have fixed an incorrect explanation in Example 3.7