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Type-and-scope safe programs and their proofs

Allais, Guillaume and Chapman, James and McBride, Conor and McKinna, James (2017) Type-and-scope safe programs and their proofs. In: CPP 2017. ACM, New York, NY, New York. ISBN 9781450347051

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We abstract the common type-and-scope safe structure fromcomputations on lambda-terms that deliver, e.g., renaming, substitution, evaluation, CPS-transformation, and printing witha name supply. By exposing this structure, we can prove generic simulation and fusion lemmas relating operations built this way. This work has been fully formalised in Agda.