Summary of Ltlf Synthesis Under Unreliable Input, by Christian Hagemeier et al.
LTLf Synthesis Under Unreliable Input
by Christian Hagemeier, Giuseppe de Giacomo, Moshe Y. Vardi
First submitted to arxiv on: 19 Dec 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 The paper explores strategies for achieving a desired goal while ensuring that a backup specification is satisfied in case some input variables become unreliable. The problem is formally defined and shown to be 2EXPTIME-complete, similar to standard LTLf synthesis. Three solution techniques are proposed: one using direct automata manipulation (2EXPTIME), another disregarding unreliable inputs through belief construction (3EXPTIME), and a third leveraging second-order quantified LTLf (QLTLf) with a worst-case nonelementary bound. The techniques’ correctness is proven, and they are evaluated empirically against each other. Interestingly, the theoretical worst-case bounds do not translate to observed performance, with MSO performing best, followed by belief construction and direct automata manipulation. As a byproduct, the paper provides a general synthesis procedure for arbitrary QLTLf specifications. |
| Low | GrooveSquid.com (original content) | Low Difficulty Summary The paper is about finding ways to achieve a goal while making sure that if some things go wrong, we still get a good result. It’s like having a backup plan! The researchers define the problem and show that it’s a hard one to solve, but then they come up with three different ways to do it. Two of these methods are fast, but not very efficient, while the third method is slower, but works really well in practice. This method uses something called second-order logic, which is like a special kind of math. The researchers tested all three methods and found that the slowest one worked the best! As a bonus, they also came up with a way to solve a similar problem for any goal we might have. |
