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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