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A finite axiomatisation of inductive-inductive definitions

Nordvall Forsberg, Fredrik and Setzer, Anton (2012) A finite axiomatisation of inductive-inductive definitions. In: Logic, Construction, Computation. Ontos mathematical logic, 3 . De Gruyter, 259 - 287. ISBN 9783110324921

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Abstract

Induction-induction is a priciple for mutually defining data types A : Set and B : A Set. Both A and B are defined inductively, and the constructors for A can refer to B and vice versa.