Pebble Games with Algebraic Rules

@inproceedings{Dawar2012PebbleGW,
  title={Pebble Games with Algebraic Rules},
  author={Anuj Dawar and Bjarki Holm},
  booktitle={Fundam. Informaticae},
  year={2012}
}
We define a general framework of partition games for formulating two-player pebble games over finite structures. We show that one particular such game, which we call the invertible-map game, yields a family of polynomial-time approximations of graph isomorphism that is strictly stronger than the well-known Weisfeiler-Lehman method. The general framework we introduce includes as special cases the pebble games for finite-variable logics with and without counting. It also includes a matrix… 

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