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Simulating Large Eliminations in Cedille [article]

Christopher Jenkins and Andrew Marmaduke and Aaron Stump
2021 arXiv   pre-print
We present several case studies, demonstrating the adequacy of this simulation for a variety of generic programming tasks, and a generic formulation of the simulation allowing its use for any datatype.  ...  However, as large eliminations are closely tied to a type theory's primitive notion of inductive type, this expressivity is not expected within polymorphic lambda calculi in which datatypes are encoded  ...  In Jeremy Avigad and Assia Mahboubi, editors, Interactive Theorem Prov- ing - 9th International Conference, ITP 2018, Held as Part of the Federated Logic Con- ference, FloC 2018, Oxford, UK,  ... 
arXiv:2112.07817v1 fatcat:3mpp554xina37hmxa732wpnwba