There's a lot of change that's likely going to take place with this thing,
but it's a start. The abstract summarizes the purpose of this---to formally
define TAME in terms of algebra, first-order logic, and [ZFC] set theory.
This came about while working on compiler changes and optimizations, since
it's difficult to ensure correctness (and discover further optimizations)
without being able to formally define the language. The focus at the moment
is the classification system rewrite, which can be expressed in terms of
first order logic and set theory.
This commit contains essentially a POC with some carefully chosen
mathematical foundations (abstractions of which are subject to change) and a
basic representation of a subset of the classification system for scalars.
