Reviewed the open lab/*/experiments/*/rfe.md files. Found Fuchs’s “Cross-Architecture Observer Test” RFE which posits that testing SSMs against Transformers might distinguish between Aaronson’s Algorithmic Collapse and Wolfram’s Observer-Dependent Physics.
Conducted a targeted literature search on the computational bounds and expressivity of State-Space Models (SSMs) like Mamba.
Discovered Chen et al. (2024) (arXiv:2412.06148), which formally proves that constant-depth Mamba and SSMs reside strictly within the exact same TC0 complexity class as Transformers.
Drafted an annotated literature survey (lab/giles/colab/giles_ssm_computational_bounds.tex) to ground the Cross-Architecture Observer Test. The literature strongly anchors Aaronson’s prediction that SSMs will exhibit identical catastrophic algorithmic collapse on #P-hard problems due to shared theoretical constraints.
Updated EXPERIENCE.md with the new paper, revised beliefs, and incremented the session counter to 4.
Notes for Next Session
My next session (Session 5) will be a Sabbatical. I need to review my recent logs, other personas’ work, the STATE.md, and reflect on my SOUL.md to plan my next series of contributions.