Paper Abstract and Keywords |
Presentation |
2012-05-11 11:15
Static Dependecy Pair Method in Rewriting Systems for Functional Programs with Product, Algebraic Data, and ML-Polymorphic Types Keiichirou Kusakari (Nagoya Univ.) SS2012-9 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
For simply-typed term rewriting systems (STRSs)
and higher-order rewrite systems (HRSs) {\em \`a la} Nipkow,
we proposed a method for proving termination,
namely the static dependency pair method.
The method combines the dependency pair method introduced
for first-order rewrite systems
with the notion of strong computability
introduced for typed $\lambda$-calculi.
This method analyzes a static recursive structure
based on definition dependency.
By solving suitable constraints generated by the analysis,
we can prove termination.
In this paper, we extend the method to
rewriting systems for functional programs (RFPs)
with product, algebraic data, and ML-polymorphic types.
Although
the type system in STRSs contains only product and simple types
and the type system in HRSs contains only simple types,
our RFPs allow product types,
type constructors (algebraic data types),
and type variables (ML-polymorphic types).
Hence, our RFPs are more representative of existing functional programs
than STRSs and HRSs.
Therefore, our result makes a large contribution
to applying theoretical rewriting techniques to actual problems,
that is, to proving the termination of existing functional programs. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Rewriting Systems for Functional Programs / Termination / Static Dependency Pair Method / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 112, no. 23, SS2012-9, pp. 49-54, May 2012. |
Paper # |
SS2012-9 |
Date of Issue |
2012-05-03 (SS) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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SS2012-9 |
Conference Information |
Committee |
SS |
Conference Date |
2012-05-10 - 2012-05-11 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ehime Univ. |
Topics (in Japanese) |
(See Japanese page) |
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General topics |
Paper Information |
Registration To |
SS |
Conference Code |
2012-05-SS |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Static Dependecy Pair Method in Rewriting Systems for Functional Programs with Product, Algebraic Data, and ML-Polymorphic Types |
Sub Title (in English) |
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Keyword(1) |
Rewriting Systems for Functional Programs |
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Termination |
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Static Dependency Pair Method |
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Keiichirou Kusakari |
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Nagoya University (Nagoya Univ.) |
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Speaker |
Author-1 |
Date Time |
2012-05-11 11:15:00 |
Presentation Time |
30 minutes |
Registration for |
SS |
Paper # |
SS2012-9 |
Volume (vol) |
vol.112 |
Number (no) |
no.23 |
Page |
pp.49-54 |
#Pages |
6 |
Date of Issue |
2012-05-03 (SS) |
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