The SAT Phase Transition
Ke Xu, Wei Li
Abstract
Phase transition is an important feature of SAT problem. For random k-SAT model, it is proved that as r (ratio of clauses to variables) increases, the structure of solutions will undergo a sudden change like satisfiability phase transition when r reaches a threshold point. This phenomenon shows that the satisfying truth assignments suddenly shift from being relatively different from each other to being very similar to each other.
Create a lesson
Related papers
RAFT: A Stateful Retrieval-Augmented Framework for Troubleshooting Agents
Mingxuan Zhang, Xiaowen Wang, Anupma Sharan et al.
Q&A on Any Spreadsheet Requires Interpreting Its Grid Structure
Zofia Smoleń
Deep Noir: Autonomous Steering Discovery via Architectural Chronometry in Transformer Models
Frank E. Bobe, Gregory D. Vetaw, Darshan W. Bryner et al.
Ownership in AI-Assisted Everyday Tasks
Megan Wei, Melanie Subbiah, Audrey Lee et al.
PAA: The Probabilistic Allen Algebra: A Generative and Complete Probabilistic Extension of Allen's Interval Relations
Julian Eggert
Limits of Confidence in Diffusion
Russ Webb, Amitis Shidani, Alice Bizeul et al.