Nicolas Markey

Résumé

We define and study a slight variation on the semantics of Strategy Logic: while in the classical semantics, all strategies are shifted during the evaluation of temporal modalities, we propose to only shift the strategies that have been assigned to a player, thus matching the intuition that we can assign the very same strategy to the players at different points in time. We prove that surprisingly, this renders the model-checking problem undecidable.

@article{ipl116(2)-BGM,
  author =              {Bouyer, Patricia and Gardy, Patrick and Markey,
                         Nicolas},
  title =               {On the semantics of Strategy Logic},
  publisher =           {Elsevier},
  journal =             {Information Processing Letters},
  volume =              {116},
  number =              {2},
  pages =               {75-79},
  year =                {2016},
  month =               feb,
  doi =                 {10.1016/j.ipl.2015.10.004},
  abstract =            {We define and study a slight variation on the
                         semantics of Strategy Logic: while in the classical
                         semantics, all strategies are shifted during the
                         evaluation of temporal modalities, we propose to
                         only shift the strategies that have been assigned to
                         a player, thus matching the intuition that we can
                         assign the very same strategy to the players at
                         different points in time. We prove that
                         surprisingly, this renders the model-checking
                         problem undecidable.},
}