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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)
Download PDF 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) 
Topics (in English) 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)  
Keyword(1) Rewriting Systems for Functional Programs  
Keyword(2) Termination  
Keyword(3) Static Dependency Pair Method  
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1st Author's Name Keiichirou Kusakari  
1st Author's Affiliation 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
Date of Issue 2012-05-03 (SS) 


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