We characterise the strongly normalising terms of a composition-free calculus of explicit substitutions (with or without garbage collection) by means of an intersection type assignment system. The main novelty is a cut-rule which allows to forget the context of the minor premise when the context of the main premise does not have an assumption for the cut variable.
CITATION STYLE
van Bakel, S., & Dezani-Ciancaglini, M. (2002). Characterising strong normalisation for explicit substitutions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2286, pp. 356–370). Springer Verlag. https://doi.org/10.1007/3-540-45995-2_33
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