Summary of Finite Groundings For Asp with Functions: a Journey Through Consistency, by Lukas Gerlach (tu Dresden) et al.
Finite Groundings for ASP with Functions: A Journey through Consistency
by Lukas Gerlach, David Carral, Markus Hecher
First submitted to arxiv on: 8 May 2024
Categories
- Main: Artificial Intelligence (cs.AI)
- Secondary: Logic in Computer Science (cs.LO)
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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 paper, researchers revisit the idea of consistency in answer set programming (ASP), a logic formalism used in AI for problem-solving and knowledge representation. They analyze how enhancing ASP with function symbols makes basic reasoning problems highly undecidable, even for state-of-the-art reasoners using a ground-and-solve approach. The authors provide insights into the high level of undecidability by showing reductions that give an intuition for the issue. These findings enable a more detailed analysis, leading to the characterization of ASP programs as “frugal” and “non-proliferous”. For such programs, the researchers develop a semi-decision procedure and propose a grounding technique that yields finite groundings on more ASP programs by introducing the concept of “forbidden” facts. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary This paper is about a type of artificial intelligence called answer set programming. It’s like a puzzle solver! The problem is that some puzzles are really hard to solve, even for the smartest computers. The researchers found out why this happens and how we can make it easier by being more clever with our puzzle-solving methods. |
Keywords
» Artificial intelligence » Grounding
