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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Farahmandi, F. Alizadeh, B. Navabi, Z. |
| Copyright Year | 2014 |
| Abstract | Arithmetic circuits require a verification process to prove that the gate level circuit is functionally equivalent to a high level specification. This paper presents an automatic equivalence checking technique to verify combinational arithmetic circuits at bit level. In order to efficiently verify gate level arithmetic circuits, we make use of computer algebra based approach so that the circuit and the specification are modeled in polynomial system and the verification problem is formulated as polynomial reduction techniques using Groebner basis of circuit polynomial corresponding ideal. To overcome costly Groebner basis computation as well as intensive polynomial reduction, we make use of a canonical decision diagram named Horner Expansion Diagram (HED), derive a suitable term order to represent and manipulate polynomials efficiently and find repetitive components based on automata. To evaluate the effectiveness of our verification technique, we have applied it to very large arithmetic circuits including multipliers. Preliminary experimental results show that the proposed verification technique is scalable enough so that large multipliers can efficiently be verified in reasonable run time and memory usage. |
| Sponsorship | IEEE Comput. Soc. |
| Starting Page | 338 |
| Ending Page | 343 |
| File Size | 346048 |
| Page Count | 6 |
| File Format | |
| e-ISBN | 9781479937653 |
| DOI | 10.1109/ISVLSI.2014.109 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2014-07-09 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Polynomials Logic gates Automata Adders Integrated circuit modeling Libraries Data structures Groebner Basis Formal Verification Arithmetic Circuits |
| Content Type | Text |
| Resource Type | Article |
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