Intuitionistic Di ff erential Nets and Resource Lambda-Calculus

@inproceedings{Tranquilli2007IntuitionisticDF,
  title={Intuitionistic Di ff erential Nets and Resource Lambda-Calculus},
  author={Paolo Tranquilli},
  year={2007}
}
We define pure intuitionistic differential nets, extending Ehrhard and Regnier’s differential interaction netswith the exponential box of Linear Logic.Normalization of the exponential reduction and confluence of the full one is proved. Though interesting and independent on their own, these results are directed and adjusted to give a translation of Boudol’s untyped λ-calculus with multiplicities extended with a linear-non linear reduction à la Ehrhrad andRegnier’s differentialλ-calculus. Such… CONTINUE READING