Higher inductive types, inductive families, and inductiveinductive typesTools von Raumer, Jakob (2020) Higher inductive types, inductive families, and inductiveinductive types. PhD thesis, University of Nottingham.
AbstractMartinLöf type theory is a formal language which is used both as a foundation for mathematics and the theoretical basis of a range of functional programming languages. Inductive types are an important part of type theory which is necessary to express data types by giving a list of rules stating how to form this data. In this thesis we we tackle several questions about different classes of inductive types.
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