On Stepwise Explicit Substitution

@article{Kamareddine1993OnSE,
  title={On Stepwise Explicit Substitution},
  author={Fairouz Kamareddine and R. P. Nederpelt},
  journal={Int. J. Found. Comput. Sci.},
  year={1993},
  volume={4},
  pages={197-240}
}
This paper starts by setting the ground for a lambda calculus notation that strongly mirrors the two fundamental operations of term construction, namely abstraction and application. In particular, we single out those parts of a term, called items in the paper, that are added during abstraction and application. This item notation proves to be a powerful device for the representation of basic substitution steps, giving rise to different versions of β-reduction including local and global… 

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