2023/11/01 by Anna De Mase, De Mase, Anna
Engineering · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2311.00411
openalex publication_date 2023/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the model completeness of the theory of a mixed characteristic henselian valued field with finite ramification relative to the residue field and value group. We address the case in which the valued field has a value group with finite spines, and the case in which the value group is elementarily equivalent to the infinite lexicographic sum of ℤ with a minimal positive element. In both cases, we find a one-sorted language in which the theory of the valued field is model complete, if the theory of the residue field is model complete in the language of rings.