Summary of How to Discover Short, Shorter, and the Shortest Proofs Of Unsatisfiability: a Branch-and-bound Approach For Resolution Proof Length Minimization, by Konstantin Sidorov et al.
How To Discover Short, Shorter, and the Shortest Proofs of Unsatisfiability: A Branch-and-Bound Approach for Resolution Proof Length Minimization
by Konstantin Sidorov, Koos van der Linden, Gonçalo Homem de Almeida Correia, Mathijs de Weerdt, Emir Demirović
First submitted to arxiv on: 12 Nov 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 This paper proposes a novel branch-and-bound algorithm for finding the shortest resolution proofs in propositional satisfiability problems. Modern software for SAT can output not only a satisfiable/unsatisfiable signal but also a justification of unsatisfiability, which is crucial for verification purposes. However, there are no guarantees that these proofs cannot be significantly reduced. The proposed algorithm introduces a layer list representation of proofs, breaking permutational symmetries and improving upon state-of-the-art symmetry-breaking techniques. Pruning procedures are designed to reason on proof length lower bound, clause subsumption, and dominance. Experimental results show that the algorithm can shorten proofs by 30-60% on SAT Competition 2002 instances and by 25-50% on small synthetic formulas. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary This paper is about making computers faster at solving logic puzzles. It’s like a game where you try to find the shortest way to solve a problem. Right now, computer programs can give you an answer, but they also need to explain why it’s correct. This is important for verifying that the answer is right. The new algorithm in this paper helps computers find the shortest explanation and makes them better at solving these puzzles. |
Keywords
» Artificial intelligence » Pruning
