A Constructive Presentation for the Modal Connective of Necessity (\Box)

@article{Benevides1992ACP,
  title={A Constructive Presentation for the Modal Connective of Necessity (\Box)},
  author={Mario R. F. Benevides and T. S. E. Maibaum},
  journal={J. Log. Comput.},
  year={1992},
  volume={2},
  pages={31-50}
}
This work provides a constructive presentation of modal logics in natural deduction style. The modal connective • is presented in a constructive form, which can be considered as an operational semantics for it. Modal connectives have been recognized as intentional connectives for a long time, but modal logicians have insisted in using extensional techniques to deal with them. In this paper, the modal connective is presented as a higherorder connective defined on top of the object level logical… CONTINUE READING

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