Tree Semantics

The Context Field

The Context Field does better.

How a simple construct evolves into a notation for complex structures

The Construct

Free Cell Processing, one by one

The construct. Free Nodes. Nodes, one by one, positioned on a free, availlable position in the Grid

Here we go!

First, discover the Matrix Tree, a free cell stucture notation


Production

The Free Cell notation creates space for projecting multiple typecasts:


Introducing Projection causes the Matrix Tree to evolve into a field:



A Graph Field is an object consisting of a private Matrix Structure and public Projections.

The field gave birth to to a linguistic application (use case):

A Context Field is a Graph Field where the structue is a language structure (by default, a Tree), and where the projections are functional Profiles,ย 

Note the speculative feature: