41 citations · 131 across the 6 of their papers we have counts for
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cs.LO2016★ 38 cited
Quotient inductive-inductive types
Thorsten Altenkirch, Paolo Capriotti, Gabe Dijkstra +2
Higher inductive types (HITs) in Homotopy Type Theory (HoTT) allow the definition of datatypes which have constructors for equalities over the defined type. HITs generalise quotien…
cs.LO2016★ 8 cited
Extending Homotopy Type Theory with Strict Equality
Thorsten Altenkirch, Paolo Capriotti, Nicolai Kraus
In homotopy type theory (HoTT), all constructions are necessarily stable under homotopy equivalence. This has shortcomings: for example, it is believed that it is impossible to def…