Date of this Version
Vilhelm Sjoberg, Chris Casinghino, Nathan Collins, Ki Yung Ahn, Tim Sheard, Harley D. Eades III, Peng Fu, Garrin Kimmell, Aaron Stump, and Stephanie Weirich, "Irrelevance, Heterogeneous Equity, and Call-by-value Dependent Type Systems", . January 2012.
We present a full-spectrum dependently typed core language which includes both nontermination and computational irrelevance (a.k.a. erasure), a combination which has not been studied before. The two features interact: to protect type safety we must be careful to only erase terminating expressions. Our language design is strongly influenced by the choice of CBV evaluation, and by our novel treatment of propositional equality which has a heterogeneous, completely erased elimination form.
Date Posted: 20 July 2012