The Cut-Elimination Theorem for Differential Nets with Promotion

@inproceedings{Pagani2009TheCT,
  title={The Cut-Elimination Theorem for Differential Nets with Promotion},
  author={Michele Pagani},
  booktitle={TLCA},
  year={2009}
}
Recently Ehrhard and Regnier have introduced Differential Linear Logic, DiLL for short -- an extension of the Multiplicative Exponential fragment of Linear Logic that is able to express non-deterministic computations. The authors have examined the cut-elimination of the promotion-free fragment of DiLL by means of a proofnet-like calculus: differential interaction nets. We extend this analysis to exponential boxes and prove the Cut-Elimination Theorem for the whole DiLL: every differential net… 

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