Termination checking with types
Journal article, 2004

The paradigm of type-based termination is explored for functional programming with recursive data types. The article introduces Lambda(mu)(+), a lambda-calculus with recursion, inductive types, subtyping and bounded quanti. cation. Decorated type variables representing approximations of inductive types are used to track the size of function arguments and return values. The system is shown to be type safe and strongly normalizing. The main novelty is a bidirectional type checking algorithm whose soundness is established formally.

course-of-value recursion

strong normalization

sized types

type-based termination

bidirectional type checking

inductive types

Author

Andreas Abel

Chalmers, Department of Computing Science

RAIRO - Theoretical Informatics and Applications

0988-3754 (ISSN) 1290-385X (eISSN)

Vol. 38 4 277-319

Subject Categories

Computer and Information Science

DOI

10.1051/ita:2004015

More information

Latest update

9/12/2023