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Jan 8, 2021 · This paper introduces an expressive class of indexed quotient-inductive types, called QWI types, within the framework of constructive type theory.
Jun 7, 2022 · Inductive types are an essential feature of many type theories and the proof assistants and programming languages that are based upon them.
Oct 8, 2022 · Quotient inductive types are higher inductive types with a 0-truncation constructor. ; All quotient inductive types described below are given ...
This paper introduces an expressive class of indexed quotient-inductive types, called QWI types, within the framework of constructive type theory.
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This paper introduces an expressive class of indexed quotient-inductive types, called QWI types, within the framework of constructive type theory. They are ...
Jun 7, 2022 · Abstract. This paper introduces an expressive class of indexed quotient-inductive types, called QWI types, within the framework of ...
It is proved that QWI types can be derived from quotient types and inductive types in the type theory of toposes with natural number object and universes, ...
This paper introduces an expressive class of indexed quotient-inductive types, called QWI types, within the framework of constructive type theory.
This paper introduces an expressive class of indexed quotient-inductive types, called QWI types, within the framework of constructive type theory.
Apr 14, 2018 · We call those HITs quotient inductive-inductive types (QIITs). Although there has been recent progress on a general theory of HITs, there is not ...