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| Content Provider | ACM Digital Library |
|---|---|
| Author | Moses, Joel |
| Abstract | Algebraic simplification is examined first from the point of view of a user who needs to comprehend a large expression, and second from the point of view of a designer who wants to construct a useful and efficient system. First we describe various techniques akin to substitution. These techniques can be used to decrease the size of an expression and make it more intelligible to a user. Then we delineate the spectrum of approaches to the design of automatic simplification capabilities in an algebraic manipulation system. Systems are divided into five types. Each type provides different facilities for the manipulation and simplification of expressions. Finally we discuss some of the theoretical results related to algebraic simplification. We describe several positive results about the existence of powerful simplification algorithms and the number-theoretic conjectures on which they rely. Results about the nonexistence of algorithms for certain classes of expressions are included. |
| Starting Page | 527 |
| Ending Page | 537 |
| Page Count | 11 |
| File Format | |
| ISSN | 00010782 15577317 |
| DOI | 10.1145/362637.362648 |
| Journal | Communications of the ACM (CACM) |
| Volume Number | 14 |
| Issue Number | 8 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2005-08-01 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Algebraic manipulation Canonical simplification |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Science Computer Science |
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