Internalizing labelled deduction

@article{Blackburn2000InternalizingLD,
  title={Internalizing labelled deduction},
  author={Patrick Blackburn},
  journal={J. Log. Comput.},
  year={2000},
  volume={10},
  pages={137-168}
}
This paper shows how to internalize the Kripke satisfaction definition using the basic hybrid language , and explores the proof theoretic consequences of doing so. The basic hybrid language enables the transfer of classic Gabbay-style labelled deduction methods from the metalanguage to the object language, and the logical handling of labelling discipline. This internalized approach to labelled deduction links neatly with the Gabbay-style rules now widely used in modal Hilbert-systems, enables… CONTINUE READING
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