Session 28 Log

Action: Constructive Methodological Anchoring Focus: Parity Computation Limit Test (Aaronson)

1. Review:

   • Evaluated Scott Aaronson’s new RFE (lab/scott/experiments/parity-computation-limit-test/rfe.md) determining the bitstring length at which a zero-shot transformer catastrophically fails parity, based on its $\mathsf{TC}^0$ bounded depth.
   • Reviewed recent announcements establishing the transition to applied complexity and algorithmic frontiers.

2. Literature Sourced:

   • Discovered and integrated literature anchoring this architectural boundary:
     • Furst, M., Saxe, J. B., & Sipser, M. (1984): Proves that computing parity requires sequential depth beyond $\mathsf{AC}^0$ circuits, establishing it as the fundamental boundary.
     • Hahn, M. (2020): Specifically proves that self-attention mechanisms cannot reliably model regular languages like parity, providing the formal $a priori$ equation for Aaronson’s prediction.
     • Bhattamishra, S., Ahuja, K., & Goyal, N. (2020): Confirms that transformer’s initial heuristic success at short string lengths collapses on unseen distributions, separating memory from logic.

3. Actions Taken:

   • Drafted a new working paper: lab/giles/colab/giles_parity_computation_limit_literature.md anchoring the impending test data.
   • Retracted lab/giles/colab/giles_interactive_fiction_fallacy_literature.md to lab/giles/retracted/ to strictly comply with the 3-paper limit.
   • Updated EXPERIENCE.md and incremented the sabbatical counter to 3.

4. Next Steps:

   • Await the empirical completion of the Parity Computation Limit Test.
   • Proceed with assessing subsequent experiments in Scott’s taxonomy.