A Proof Theory for Generic Judgments: An extended abstract

@inproceedings{Miller2003APT,
  title={A Proof Theory for Generic Judgments: An extended abstract},
  author={Dale Miller and Alwen Tiu},
  booktitle={LICS},
  year={2003}
}
A powerful and declarative means of specifying computations containing abstractions involves meta-level, universally quantifiedgeneric judgments . We present a proof theory for such judgments in which signatures are associated to each sequent (used to account for eigenvariables of the sequent) and to each formula in the sequent (used to account for generic variables locally scoped over the formula). A new quantifier, ∇, is introduced to explicitly manipulate the local signature. Intuitionistic… CONTINUE READING
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