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Add support for periodic columns - columns whose values repeat with a
period dividing the trace length. These are useful for selectors and
other repeating patterns in AIR constraints.

Changes:
- Add `periodic_table()` method to `BaseAir` trait
- Add `PeriodicAirBuilder` trait extending `AirBuilder` with:
  - `PeriodicVar: Into<Expr>` - base field for prover, extension for verifier
  - `periodic_values()` - returns evaluations at current row
- Add `periodic_values` field to `ProverConstraintFolder` (PackedVal)
  and `VerifierConstraintFolder` (Challenge)
- Add `PeriodicAirBuilder` impl to `SymbolicAirBuilder`
- Add `Entry::Periodic` variant to `SymbolicVariable`
- Add `PeriodicAirBuilder` impl to lookup folder wrappers
- Initialize with empty vec in uni-stark and batch-stark for now
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2 participants