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ΠΣ: Dependent Types without the Sugar [chapter]

Thorsten Altenkirch, Nils Anders Danielsson, Andres Löh, Nicolas Oury
2010 Lecture Notes in Computer Science  
The recent success of languages like Agda and Coq demonstrates the potential of using dependent types for programming.  ...  However, these features complicate the metatheoretical study and are a potential source of bugs. To address these issues we introduce ΠΣ, a dependently typed core language.  ...  We would also like to thank Darin Morrison, who has contributed to the implementation of ΠΣ, and members of the Functional Programming Laboratory in Nottingham, who have given feedback on our work.  ... 
doi:10.1007/978-3-642-12251-4_5 fatcat:e4uk6ooa3fd3xjvs3thp75iooy