Summary of The Complexity Of Symmetry Breaking Beyond Lex-leader, by Markus Anders et al.
The Complexity of Symmetry Breaking Beyond Lex-Leader
by Markus Anders, Sofia Brenner, Gaurav Rattan
First submitted to arxiv on: 5 Jul 2024
Categories
- Main: Artificial Intelligence (cs.AI)
- Secondary: Computational Complexity (cs.CC)
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| Summary difficulty | Written by | Summary |
|---|---|---|
| High | Paper authors | High Difficulty Summary Read the original abstract here |
| Medium | GrooveSquid.com (original content) | Medium Difficulty Summary In this research paper, the authors explore the concept of symmetry breaking in constraint programming, specifically focusing on SAT and MIP solvers. They discuss how predicates (SBPs) impose an order on variables to identify the lexicographic leader in each orbit of assignments. The authors also highlight that finding complete SBPs is NP-hard, but incomplete lex-leader SBPs are widely used in practice due to their effectiveness. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary Symmetry breaking is a way to help computers solve difficult problems by looking at things from different angles. Imagine trying to find the solution to a puzzle with many pieces – symmetry breaking helps by identifying the most important piece first, making it easier to solve. The researchers studied how this works in certain types of computer programs and found that even incomplete methods can be very effective. |
