2003 | OriginalPaper | Chapter
Termination and Productivity Checking with Continuous Types
Author : Andreas Abel
Published in: Typed Lambda Calculi and Applications
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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We analyze the interpretation of inductive and coinductive types as sets of strongly normalizing terms and isolate classes of types with certain continuity properties. Our result enables us to relax some side conditions on the shape of recursive definitions which are accepted by the type-based termination calculus of Barthe, Frade, Giménez, Pinto and Uustalu, thus enlarging its expressivity.