Synthesis from Weighted Specifications with Partial Domains over Finite Words

@article{Filiot2020SynthesisFW,
  title={Synthesis from Weighted Specifications with Partial Domains over Finite Words},
  author={Emmanuel Filiot and Christof L{\"o}ding and Sarah Winter},
  journal={ArXiv},
  year={2020},
  volume={abs/2103.05550}
}
In this paper, we investigate the synthesis problem of terminating reactive systems from quantitative specifications. Such systems are modeled as finite transducers whose executions are represented as finite words in (Σi × Σo), where Σi, Σo are finite sets of input and output symbols, respectively. A weighted specification S assigns a rational value (or −∞) to words in (Σi × Σo), and we consider three kinds of objectives for synthesis, namely threshold objectives where the system’s executions… 

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