SPFD: A new method to express functional flexibility

• Published in: IEEE transactions on computer-aided design of integrated circuits and systems Vol. 19; no. 8; pp. 840 - 849
• Main Authors: Yamashita, S., Sawada, H., Nagoya, A.
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2000; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Automatic test pattern generation; Circuits; Combinational circuits; Design engineering; Flexibility; Flexible printed circuits; Laboratories; Logic; Logic circuits; Logic functions; Mathematical analysis; Mathematical models; Observability; Optimization methods; Table lookup; Tables (data); Technological innovation; Transformations
• ISSN: 0278-0070; 1937-4151
• DOI: 10.1109/43.856972

In this paper, we propose a unique way to express functional flexibility by using sets of pairs of functions called "Sets of Pairs of Functions to be Distinguished" (SPFDs) rather than traditional incompletely specified functions. This method was very naturally derived from a unique concept for distinguishing two logic functions, which we explain in detail in this paper. The flexibility represented by an SPFD assumes that the internal logic of a node in a circuit can be freely changed, SPFDs make good use of this assumption, and they can express larger flexibility than incompletely specified functions in some cases. Although the main subject of this paper is to explain the concept of SPFDs, we also present an efficient method for calculating the functional flexibilities by SPFDs because the concept becomes useful only if there is an efficient calculation method for it. Moreover, we present a method to use SPFDs for circuit transformation along with a proof of the correctness of the method, We further make a comparison between SPFDs and compatible sets of permissible functions (CSPFs), which express functional flexibility by incompletely specified functions. As an application of SPFDs, we show a method to optimize LUT (look-up table) networks and experimental results.