Linker

A linker is used to turn an AIR tree into a single PIL file. The linking process operates in the following way:

1. Create an empty PIL file
2. Start from the main AIR. Let main_degree_range be its degree.
3. For each AIR
   1. Create a new namespace in the PIL file 2a. If degrees-mode is vadcop, set the namespace degree to that of the AIR 2b. If degrees-mode is monolithic, set the namespace degree to main_degree_range
   2. Add the constraints to the namespace
   3. Turn the links into lookups and permutations and add them to the namespace

The result is a monolithic AIR where:

• each machine instance is a namespace
• each namespace defines its own degree range