Mixed Inductive/Coinductive Types and Strong Normalization
Identifieur interne : 004C29 ( Main/Exploration ); précédent : 004C28; suivant : 004C30Mixed Inductive/Coinductive Types and Strong Normalization
Auteurs : Andreas Abel [Allemagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: We introduce the concept of guarded saturated sets, saturated sets of strongly normalizing terms closed under folding of corecursive functions. Using this tool, we can model equi-inductive and equi-coinductive types with terminating recursion and corecursion principles. Two type systems are presented: Mendler (co)iteration and sized types. As an application we show that we can directly represent the mixed inductive/coinductive type of stream processors with associated recursive operations.
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DOI: 10.1007/978-3-540-76637-7_19
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