# Termination checking with types

RAIRO - Theoretical Informatics and Applications (2010)

- 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 38.4 (2010): 277-319. <http://eudml.org/doc/92745>.

@article{Abel2010,

abstract = {
The paradigm of type-based termination is explored for functional
programming with recursive data types.
The article introduces $\boldsymbol\{\Lambda_\mu^+\}$, 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},

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

language = {eng},

month = {3},

number = {4},

pages = {277-319},

publisher = {EDP Sciences},

title = {Termination checking with types},

url = {http://eudml.org/doc/92745},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Abel, Andreas

TI - Termination checking with types

JO - RAIRO - Theoretical Informatics and Applications

DA - 2010/3//

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 $\boldsymbol{\Lambda_\mu^+}$, 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; course-of-value recursion

UR - http://eudml.org/doc/92745

ER -

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