Summary of Dynamic Blocked Clause Elimination For Projected Model Counting, by Jean-marie Lagniez et al.
Dynamic Blocked Clause Elimination for Projected Model Counting
by Jean-Marie Lagniez, Pierre Marquis, Armin Biere
First submitted to arxiv on: 12 Aug 2024
Categories
- Main: Artificial Intelligence (cs.AI)
- Secondary: None
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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 The paper explores the application of blocked clause elimination (BCE) to projected model counting, a problem that involves determining the number of models of a propositional formula after eliminating a given set of variables. Although BCE is well-known in SAT solving, its direct application to model counting is challenging due to changes in the model count. The authors demonstrate how focusing on projected variables during the BCE search can preserve the correct model count. To efficiently leverage BCE in model counting, the paper introduces a novel data structure and algorithms. The approach is implemented in the model counter d4 and experiments show its computational benefits. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary The paper looks at how to quickly count all possible solutions for a given problem. This involves getting rid of some variables that aren’t important. A technique called blocked clause elimination (BCE) is useful, but it changes the number of solutions. The authors figure out how to use BCE while keeping track of the right solution count. They create a new way to store data and algorithms to make this work efficiently. This approach is tested in a program called d4 and shows that it’s faster than before. |
