# Termination checking with types

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2004)

- Volume: 38, Issue: 4, page 277-319
- ISSN: 0988-3754

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topAbel, Andreas. "Termination checking with types." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 38.4 (2004): 277-319. <http://eudml.org/doc/244766>.

@article{Abel2004,

abstract = {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 quantification. 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.},

author = {Abel, Andreas},

journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},

keywords = {type-based termination; sized types; inductive types; course-of-value recursion; bidirectional type checking; strong normalization; Type-based termination},

language = {eng},

number = {4},

pages = {277-319},

publisher = {EDP-Sciences},

title = {Termination checking with types},

url = {http://eudml.org/doc/244766},

volume = {38},

year = {2004},

}

TY - JOUR

AU - Abel, Andreas

TI - Termination checking with types

JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

PY - 2004

PB - EDP-Sciences

VL - 38

IS - 4

SP - 277

EP - 319

AB - 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 quantification. 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.

LA - eng

KW - type-based termination; sized types; inductive types; course-of-value recursion; bidirectional type checking; strong normalization; Type-based termination

UR - http://eudml.org/doc/244766

ER -

## References

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