Title :
Arithmetic transforms for compositions of sequential and imprecise datapaths
Author :
Radecka, Katarzyna ; Zilic, Zeljko
Author_Institution :
Concordia Univ., Montreal, Que.
fDate :
7/1/2006 12:00:00 AM
Abstract :
This paper addresses the issue of obtaining compact canonical representations of datapath circuits with sequential elements for the purpose of equivalence checking and component matching. First, the authors demonstrate the mechanisms for an efficient compositional construction of the arithmetic transform (AT), which is the underlying function representation used in modern word-level decision diagrams (WLDDs). Second, presented is a way of generating the canonical transforms of the sequential and imprecise datapath circuits
Keywords :
decision diagrams; digital arithmetic; formal verification; logic design; sequential circuits; transforms; arithmetic transforms; canonical representations; component matching; compositional construction; datapath circuits; equivalence checking; function representation; hardware verification; imprecise arithmetic; imprecise datapath; sequential circuits; sequential datapath; word-level decision diagrams; Arithmetic; Binary decision diagrams; Boolean functions; Data structures; Formal verification; Hardware; Pipeline processing; Polynomials; Sequential circuits; Taylor series; Arithmetic transform (AT); hardware verification; imprecise arithmetic; sequential circuits;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCAD.2005.855935