# Transseries: Ratios, Grids, and Witnesses

## TL;DR

This paper discusses the structure of transseries, focusing on ratio sets, grids, and witnesses, highlighting open questions and gaps in the current theoretical framework.

## Contribution

It introduces the concept of witnesses in the grid-based formulation of transseries and explores related questions and missing proofs.

## Key findings

- Analysis of ratio sets and grids in transseries
- Introduction of the witness concept for tracking ratios
- Identification of open questions and gaps in proofs

## Abstract

More remarks and questions on transseries. In particular we deal with the system of ratio sets and grids used in the grid-based formulation of transseries. This involves a "witness" concept that keeps track of the ratios required for each computation. There are, at this stage, questions and missing proofs in the development.