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Paper Abstract and Keywords
Presentation 2022-01-12 09:40
On Constrained Rewrite Rules Representing Semantics Rules of LLVM IR
Takumi Kato, Naoki Nishida, Masahiko Sakai (Nagoya Univ.) MSS2021-47 SS2021-34
Abstract (in Japanese) (See Japanese page) 
(in English) A method to verify programs written in a simple C-like language via logically constrained term rewrite systems (LCTRS, for short) has been investigated. The method transforms a program into an LCTRS, and reduces properties of the program to those of the transformed LCTRS. In this article, we propose a transformation of LLVM IRs into LCTRSs, aiming at expanding the scope of the method. In the semantics of LLVM IRs, a configuration includes a memory and an assignment as mappings in general. On the other hand, LCTRSs used in the existing work do not deal with such mappings as built-in data, and thus, function symbols keep ranges of memories and assignments as arguments, making the transformation and its correctness proof more complicated. For this reason, we employ LCTRSs that deal with memories and assignments as built-in data, as LLVM IRs do. This makes a correctness proof of our transformation clear. More precisely, we define an injective mapping from configurations to terms. Using the mapping, we propose a transformation that generates a rewrite rule for each instruction in an LLVM IR by instantiating each inference rule of the LLVM-IR semantics which is applicable to the instruction.
Keyword (in Japanese) (See Japanese page) 
(in English) program transformation / logically constrained term rewrite systems / bit-vector arithmetic / / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 318, SS2021-34, pp. 89-94, Jan. 2022.
Paper # SS2021-34 
Date of Issue 2022-01-04 (MSS, SS) 
ISSN 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)
Notes on Review This article is a technical report without peer review, and its polished version will be published elsewhere.
Download PDF MSS2021-47 SS2021-34

Conference Information
Committee SS MSS  
Conference Date 2022-01-11 - 2022-01-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Nagasakiken-Kensetsu-Sogo-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Mathematical Systems Science and its Applications, Software Science, etc. 
Paper Information
Registration To SS 
Conference Code 2022-01-SS-MSS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On Constrained Rewrite Rules Representing Semantics Rules of LLVM IR 
Sub Title (in English)  
Keyword(1) program transformation  
Keyword(2) logically constrained term rewrite systems  
Keyword(3) bit-vector arithmetic  
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1st Author's Name Takumi Kato  
1st Author's Affiliation Nagoya University (Nagoya Univ.)
2nd Author's Name Naoki Nishida  
2nd Author's Affiliation Nagoya University (Nagoya Univ.)
3rd Author's Name Masahiko Sakai  
3rd Author's Affiliation Nagoya University (Nagoya Univ.)
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Speaker Author-1 
Date Time 2022-01-12 09:40:00 
Presentation Time 25 minutes 
Registration for SS 
Paper # MSS2021-47, SS2021-34 
Volume (vol) vol.121 
Number (no) no.317(MSS), no.318(SS) 
Page pp.89-94 
#Pages 6 
Date of Issue 2022-01-04 (MSS, SS) 

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