Title
An Integrated Approach of Variable Ordering and Logic Mapping into LUT-Array-Based PLD
Abstract
This paper presents an approach of logic mapping into LUT-Array-Based PLD where Boolean functions in the form of the sum of generalized complex terms (SGCTs) can be mapped directly. While previous mapping approach requires predetermined variable ordering, our approach performs mapping and variable reordering simultaneously. For the purpose, we propose a directed acyclic graph based on the multiple valued decision diagram (MDD) and an algorithm to construct the graph. Our algorithm generates candidates of SGCT expressions for each node in a bottom-up manner and selects the variables in the current level by evaluating the sizes of SGCT expressions directly. Experimental results show that our approach reduces the number of terms maximum to 71 percent for the MCNC benchmark circuits.
Year
DOI
Venue
2005
10.1093/ietfec/e88-a.4.907
IEICE Transactions
Keywords
Field
DocType
boolean function,previous mapping approach,lut-array-based pld,variable ordering,variable reordering,bottom-up manner,sgct expression,logic mapping,acyclic graph,integrated approach,mcnc benchmark circuit,terms maximum
Logic synthesis,Boolean function,Discrete mathematics,Lookup table,Expression (mathematics),Algorithm,Theoretical computer science,Directed acyclic graph,Influence diagram,Electronic circuit,Mathematics,AND gate
Journal
Volume
Issue
ISSN
E88-A
4
1745-1337
Citations 
PageRank 
References 
0
0.34
6
Authors
4
Name
Order
Citations
PageRank
Tomonori Izumi13420.88
Shin'Ichi Kouyama261.93
Hiroyuki Ochi321544.57
Yukihiro Nakamura417750.18