Title :
Equivalence Checking of Bounded Sequential Circuits Based on Gröbner Basis
Author :
Guanjun Wang ; Zhao Ying ; Tong Minming
Author_Institution :
Dept. of Comput. Sci. & Technol., China Univ. of Min. & Technol., Xuzhou, China
Abstract :
The sequential circuit equivalence verification problem is researched in this paper, bounding equivalence verification method based on Grobner basis is put forwarded. First, to be verified sequential circuit expansion to a set of Polynomial Symbolic Algebra Representation in accordance with time frame, so the sequential equivalence checking problem translate into combinational equivalence checking problem, The global constraints are mined over the expression database according to time series. Moreover, the approach can also mine the illegal constraints and complex polynomial relationship, with this the solving space is pruned dramatically. Then calculate the Grobner basis of the two sets, testing equivalence with equivalence checking algorithm. The experiment results show that this approach can realize rapid convergence, eliminate false verification effectively.
Keywords :
algebra; combinational circuits; sequential circuits; symbol manipulation; time series; Grobner basis; bounded sequential circuits; bounding equivalence verification method; combinational equivalence checking problem; complex polynomial relationship; equivalence testing; expression database; polynomial symbolic algebra representation; sequential circuit equivalence verification problem; sequential equivalence checking problem; time series; verified sequential circuit expansion; Association rules; Formal verification; Galois fields; Integrated circuit modeling; Polynomials; Sequential circuits; Association Rule Mining; Gröbner basis; Polynomial Symbolic Algebra; Sequential Equivalence Checking;
Conference_Titel :
Computational Intelligence and Design (ISCID), 2014 Seventh International Symposium on
Print_ISBN :
978-1-4799-7004-9
DOI :
10.1109/ISCID.2014.235