Cohen, Dave, Watson, Phil (1991) An efficient representation of arithmetic for term rewriting. In: Book, Ronald V., ed. Rewrite Techniques and Applications, Proceedings of the 4th Conference on Rewrite Techniques and Applications, Como, Italy, 1991. Lecture Notes in Computer Science , 488. pp. 240-251. Springer Verlag (doi:10.1007/3-540-53904-2_100) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:21013)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1007/3-540-53904-2_100 |
Abstract
We give a locally confluent set of rewrite rules for integer (positive and negative) arithmetic using the familiar system of place notation. We are unable to prove its termination at present, but we strongly conjecture that rewriting with this system terminates and give our reasons. We show that every term has a normal form and so the rewrite system is normalising. We justify our choice of representation in terms of both space efficiency and speed of rewriting. Finally we give several examples of the use of our system.
| Item Type: | Conference or workshop item (UNSPECIFIED) |
|---|---|
| DOI/Identification number: | 10.1007/3-540-53904-2_100 |
| Uncontrolled keywords: | term rewriting, arithmetic |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming, |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing |
| Depositing User: | Mark Wheadon |
| Date Deposited: | 04 Aug 2009 18:05 UTC |
| Last Modified: | 16 Nov 2021 09:59 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/21013 (The current URI for this page, for reference purposes) |
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