Back and forth between guarded and modal logics

@article{Grdel2002BackAF,
  title={Back and forth between guarded and modal logics},
  author={Erich Gr{\"a}del and Colin Hirsch and Martin Otto},
  journal={ACM Trans. Comput. Log.},
  year={2002},
  volume={3},
  pages={418-463}
}
Guarded fixed-point logic μGF extends the guarded fragment by means of least and greatest fixed points, and thus plays the same role within the domain of guarded logics as the modal μ-calculus plays within the modal domain. We provide a semantic characterization of μGF within an appropriate fragment of second-order logic, in terms of invariance under guarded bisimulation. The corresponding characterization of the modal μ-calculus, due to Janin and Walukiewicz, is lifted from the modal to the… CONTINUE READING

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