Title
Polynomial Formal Verification of Multipliers
Abstract
Not long ago, completely automatical formal verification of multipliers was not feasible, even for small input word sizes. However, with Multiplicative Binary Moment Diagrams (*BMD), which is a new data structure for representing arithmetic functions over Boolean variables, methods were proposed by which verification of multipliers with input word sizes of up to 256 Bits is now feasible. Unfortunately, only experimental data has been provided for these verification methods until now.In this paper, we give a formal proof that logic verification with *BMDs is polynomially bounded in both, space and time, when applied to the class of Wallace-tree like multipliers. Using this knowledge online detection of design errors becomes feasible during a verification run.
Year
DOI
Venue
2003
10.1023/A:1021752130394
formal methods
Keywords
DocType
Volume
equivalence checking,formal verification,integer multipliers,backward construction,multiplicative binary moment diagrams
Journal
22
Issue
ISSN
Citations 
1
1572-8102
16
PageRank 
References 
Authors
0.92
15
5
Name
Order
Citations
PageRank
Martin Keim1261.53
Rolf Drechsler23707351.36
Bernd Becker385573.74
Michael Martin4160.92
P. Molitor521118.50