Quotient inductiveinductive definitionsTools Dijkstra, Gabe (2017) Quotient inductiveinductive definitions. PhD thesis, University of Nottingham.
AbstractIn this thesis we present a theory of quotient inductiveinductive definitions, which are inductiveinductive definitions extended with constructors for equations. The resulting theory is an improvement over previous treatments of inductiveinductive and indexed inductive definitions in that it unifies and generalises these into a single framework. The framework can also be seen as a first approximation towards a theory of higher inductive types, but done in a set truncated setting.
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