In this paper, we present a novel algorithm to the alternative wiring problem by analyzing the implication relationship between nodes of alternative wires. Alternative wiring, or rewiring, refers to the process of adding a redundant connection to a circuit so as to make a target connection redundant and removable from the circuit without altering the functionality of the circuit. The well-known ATPG-based alternative wiring scheme, Redundancy Addition and Removal for Multi-level Boolean Optimization (RAMBO), has shown its effectiveness in solving the problem in the last decade. But, the deficiency of RAMBO lies in its long execution time for redundancy identification among a large set of candidate alternative wires. Our approaches of redundancy identification by source node and destination node implication relationship indicate that a large subset of unnecessary redundancy check processes can be further avoided to improve the efficiency significantly. We propose an algorithm, the Implication Based Alternative Wiring Logic Transformation (IBAW), to integrate the two adroit techniques. IBAW provides a competent solution to the alternative wiring problem and shows an outstanding efficiency in our experiments. Experiments were performed on MCNC benchmark circuits. Results show that IBAW runs 6.8 times faster than the original RAMBO in locating alternative wires and solution quality is maintained.

Alternative wiring techniques have been shown to be very useful for many EDA problems. The currently used rewiring techniques are mainly ATPG based. In this paper, we study the approach of applying purely graph-based local pattern search methods in locating alternative wires. The method searches minimal graph patterns containing alternative wires that limited to 2 edges distant from the target wire. The experimental result shows that this scheme is very fast and has the advantage of searching both the nearby forward and backward alternative wires easily. The overall number of alternative wires searched is quite comparable (104%), compared to the forward search only RAMBO version, and the CPU time is 200 times faster. We also illustrate its usage, among many others, by a simple coupling with the SIS algebraic operations and let this rewiring tool serve as a netlist-perturbing engine for logic minimization. The coupling scheme shows a further reduction of 8.5% in area compared to applying algebraic script alone, with a nearly negligible CPU overhead spent in rewiring.