Constructive Quantifier Elimination with a Focus on Matrix Rings
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916660769718272 |
|---|---|
| author | Illmer, Maximilian Netzer, Tim |
| author_facet | Illmer, Maximilian Netzer, Tim |
| contents | We give a sufficient condition for a model theoretic structure $B$ to 'inherit' quantifier elimination from another structure $A$. This yields an alternative proof of one of the main result from \cite{kle}, namely quantifier elimination for certain matrix rings. The original proof uses model theory, and while it is very elegant and insightful, the proof we propose is much shorter and provides a constructive algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18618 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructive Quantifier Elimination with a Focus on Matrix Rings Illmer, Maximilian Netzer, Tim Logic Rings and Algebras We give a sufficient condition for a model theoretic structure $B$ to 'inherit' quantifier elimination from another structure $A$. This yields an alternative proof of one of the main result from \cite{kle}, namely quantifier elimination for certain matrix rings. The original proof uses model theory, and while it is very elegant and insightful, the proof we propose is much shorter and provides a constructive algorithm. |
| title | Constructive Quantifier Elimination with a Focus on Matrix Rings |
| topic | Logic Rings and Algebras |
| url | https://arxiv.org/abs/2503.18618 |