THE EXPRESSIVE POWER OF MEMORY LOGICS

@article{Areces2011THEEP,
  title={THE EXPRESSIVE POWER OF MEMORY LOGICS},
  author={Carlos Areces and Diego Figueira and Santiago Figueira and Sergio Fernando Mera},
  journal={The Review of Symbolic Logic},
  year={2011},
  volume={4},
  pages={290 - 318}
}
We investigate the expressive power of memory logics. These are modal logics extended with the possibility to store (or remove) the current node of evaluation in (or from) a memory, and to perform membership tests on the current memory. From this perspective, the hybrid logic ℋℒ (↓), for example, can be thought of as a particular case of a memory logic where the memory is an indexed list of elements of the domain. This work focuses in the case where the memory is a set, and we can test whether… 
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