Logic circuits based on a photonic integrated circuit (PIC) have attracted significant interest due to their ultra-high-speed operation. However, they have a fundamental disadvantage that a large amount of the optical signal power is discarded in the path from the optical source to the optical output, which results in significant power consumption. This optical signal power loss is called a garbage output. To address this issue, this paper considers a circuit design without garbage outputs. Although a method for synthesizing an optical logic circuit without garbage outputs is proposed, this synthesis method can not obtain the optimal solution, such as a circuit with the minimum number of gates. This paper proposes a cross-bar gate logic (CBGL) as a new logic structure for optical logic circuits without garbage outputs, moreover enumerates the CBGLs with the minimum number of gates for all three input logic functions by an exhaustive search. Since the search space is vast, our enumeration algorithm incorporates a technique to prune it efficiently. Experimental results for all three-input logic functions demonstrate that the maximum number of gates required to implement the target function is five. In the best case, the number of gates in enumerated CBGLs is one-half compared to the existing method for optical logic circuits without garbage outputs.

A nonvolatile field-programmable gate array (NV-FPGA), where the circuit-configuration information still remains without power supply, offers a powerful solution against the standby power issue. In this paper, an NV-FPGA is proposed where the programmable logic and interconnect function blocks are described in a hardware description language and are pushed through a standard-cell-based design flow with nonvolatile flip-flops. The use of the standard-cell-based design flow makes it possible to migrate any arbitrary process technology and to perform architecture-level simulation with physical information. As a typical example, the proposed NV-FPGA is designed under 55nm CMOS/100nm magnetic tunnel junction (MTJ) technologies, and the performance of the proposed NV-FPGA is evaluated in comparison with that of a CMOS-only volatile FPGA.

This paper describes two speed-up techniques for Boolean matching of LUT-based circuits. One is one-hot encoding technique for variables representing input assignments. Though it requires more variables than existing binary encoding technique, almost all added clauses using one-hot encoding are binary clauses, which are suitable for efficient Boolean constraint propagation. The other is CEGAR (counter example guided abstraction refinement) technique which reduces the CPU time significantly. With both techniques, we can solve Boolean matching problem with 9 input function in 20 milliseconds on average, which is faster than the existing algorithms more than one order of magnitude.

The index generation function is a multi-valued logic function which checks if the given input vector is a registered or not, and returns its index value if the vector is registered. If the latency of the operation is critical, dedicated hardware is used for implementing the index generation functions. This paper proposes a method implementing the index generation functions using parallel index generator. A novel and efficient algorithm called ‘conflict free partitioning’ is proposed to synthesize parallel index generators. Experimental results show the proposed method outperforms other existing methods. Also, A novel architecture of index generator which is suitable for parallelized implementation is introduced. A new architecture has advantages in the sense of both area and delay.

In this paper, we propose an area-efficient design of Advanced Encryption Standard (AES) processor by applying a new common-expression-elimination (CSE) method to the sub-functions of various transformations required in AES. The proposed method reduces the area cost of realizing the sub-functions by extracting the common factors in the bit-level XOR/AND-based sum-of-product expressions of these sub-functions using a new CSE algorithm. Cell-based implementation results show that the AES processor with our proposed CSE method has significant area improvement compared with previous designs.

We propose a new method of logic synthesis for dual-rail RSFQ (rapid single-flux-quantum) digital circuits. RSFQ circuit technology is one of the strongest candidates for the next generation technology of digital circuits. For representing logic functions, we use a root-shared binary decision diagram (RSBDD) which is a directed acyclic graph constructed from binary decision diagrams. In the method, first we construct an RSBDD from given logic functions, and then reduce the number of nodes in the constructed RSBDD by variable re-ordering. Finally, we synthesize a dual-rail RSFQ circuit from the reduced RSBDD. We have implemented the method and have synthesized benchmark circuits. We have synthesized dual-rail circuits that consist of about 27% fewer logic elements than those synthesized by a Transduction-based method on average.

This paper presents an efficient technique for solving a Boolean matching problem in cell-library binding, where the number of cells in the library is large. As a basis of the Boolean matching, we use the notion NP-representative (NPR): two functions have the same NPR if one can be obtained from the other by a permutation and/or complementation(s) of the variables. By using a table look-up and a tree-based breadth-first search strategy, our method quickly computes the NPR for a given function. Boolean matching of the given function against the whole library is determined by checking the presence of its NPR in a hash table, which stores NPRs for all the library functions and their complements. The effectiveness of our method is demonstrated through experimental results, which show that it is more than two orders of magnitude faster than the Hinsberger-Kolla's algorithm.

This paper proposes a logic synthesis technique for asymmetric slope differential dynamic logic (ASDDL) circuits. The technique utilizes a commercially available logic synthesis tool that has been well established for static CMOS logic design, where an intermediate library is devised for logic synthesis likely as static CMOS, and then a resulting synthesized circuit is translated automatically into ASDDL implementation at the gate-level logic schematic level as well as at the physical-layout level. A design example of an ASDDL 16-bit multiplier synthesized in a 0.18-µm CMOS technology shows an operation delay time of 1.82 nsec, which is a 32% improvement over a static CMOS design with a static logic standard-cell library that is finely tuned for energy-delay products. Design with the 16-bit multiplier led to a design time for an ASDDL based dynamic digital circuit 300 times shorter than that using a fully handcrafted design, and comparable with a static CMOS design.

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.

Latch-based circuits have advantages for timing and are widely used for high-speed custom circuits. ASIC design flows, however, are based on circuits with flip-flops. This paper describes a new timing optimization algorithm by replacing the flip-flops in high-end ASICs by latches without changing the functionality of the circuits. Timing is optimized by using a fixed-phase retiming minimizing the impact of clock skew and jitter. A formal equivalence verification method that assures the logical correctness of the latch-replaced circuits is also proposed. Experimental results show that the optimization algorithm decreases the delay of benchmark circuits by as much as 17%.

This paper presents the implementation of sfl2vl, a new free tool for SFL to Verilog conversion. Also this paper will discuss the performance of the conversion and the logic simulation of the sfl2vl+Icarus Verilog (free-ware compiler) versus PARTHENON with some MPU designs.

Asynchronous controllers effectively control high concurrence of datapath operations for high speed. Signal Transition Graphs (STGs) can effectively represent these concurrent events. However, highly concurrent STGs cause the state explosion problem in asynchronous synthesis tools. Many small but highly concurrent STGs cannot be synthesized to obtain control circuits. Moreover, STGs also lead to some control-time overhead of the four-phase handshake protocol. In this paper, we propose a method for deriving the serial control nodes from Control Data Flow Graphs (CDFGs) such that the concurrence of datapath operations is still preserved. The STGs derived from the serialized control nodes are serial STGs which are simpler for synthesis than the concurrent STGs. We also propose an implementation using these serialized controllers to generate local clocks at any necessary times. The implementation results in very small control-time overhead. The experimental results show that the number of synthesis states is proportional to the number of control signals, and the circuits with satisfiable small control-time overhead are obtained.

Methods usually employed for carrying out division in logic are based on algebraic or Boolean techniques. Algebraic division is fast but results may be less than optimal. Boolean division will yield better results but generally it is much slower because a minimization step is required. In [4], Kim and Dietmeyer proposed a new type of division, called extended algebraic division, and described a heuristic algorithm for it. A feature is that, unlike Boolean division, it does not require a minimization step. The present paper is concerned with an efficient algorithm for exact extended algebraic division. The algorithm was developed within the SIS environment, a program for logic synthesis developed at U.C. Berkeley. Experiments on factoring PLA's demonstrate a significant improvement in quality with a reasonable increase in run time.

This paper develops a modular synthesis algorithm for timed circuits that is dramatically accelerated by partial order reduction. This algorithm synthesizes each module in a hierarchical design individually. It utilizes partial order reduction to reduce the state space explored for the other modules by considering a single interleaving of concurrently enabled transitions. This approach better manages the state explosion problem resulting in a more than 2 order of magnitude reduction in synthesis time. The improved synthesis time enables the synthesis of a larger class of timed circuits than was previously possible.

Functional decomposition is an essential technique of logic synthesis and is important especially for FPGA design. Bertacco and Damiani proposed an efficient algorithm finding simple disjoint decomposition using Binary Decision Diagrams (BDDs). However, their algorithm is not complete and does not find all the decompositions. This paper presents a complete theory of simple disjoint decomposition and describes an efficient algorithm using BDDs.

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.

The single wire replacement attempts to replace a target wire by another wire without changing the circuit functionality. Due to the large searching space required, there is very little success in directly extending the single wire replacement technique to replace multiple wires at the same time. The objective in this paper is to propose a new logic transformation, called the alternative node (Alnode) technique, which attempts to replace multiple wires at a time. Basically, the transformation simultaneously replaces multiple input wires of a gate by a new set of input wires. To accomplish the transformation, we propose several speedup theorems for replacing multiple wires. In this paper, we also demonstrate that the Alnode technique can be applied to achieve power reduction for domino logic and wire length minimization in layouts. The experimental results are encouraging.

This work provides a generalization of structural logic optimization methods to general boolean networks. This generalization is based on a functional description of the nodes in the network. Therefore, this approach is no longer restricted to networks that consist of simple gates. Within this framework, we present necessary and sufficient conditions to identify all the possible functional expansions of a node that allow to eliminate a wire elsewhere in the network. These conditions are also given for the case of multiple variable expansion, providing an incremental mechanism to perform functional transformations involving any number of variables that can be applied in a very efficient manner. On the other hand, we will show in this paper that relevant simplifications can be obtained when this framework is applied to the particular case of AND-OR-NOT networks, resulting in important savings in the computational effort. When compared to previous approaches, the experimental results show an important reduction in the number of computations required.

We propose a timing driven gate duplication algorithm for the technology independent phase. Our algorithm is a generalization of the gate duplication strategy suggested in [3]. Our technique gets a more global view by duplicating multiple gates at a time. We compare the minimum circuit delay obtained by SIS with the delay obtained by using our gate duplication. Results show that up to 11% improvement in delay can be obtained. Our algorithm does not have an adverse effect on the overall synthesis time, indicating that gate duplication is an efficient strategy for timing optimization.

In this paper, a design of Programmable Logic Device (PLD) and a synthesis approach are proposed. Our PLD is derived from traditional Programmable Logic Array (PLA). The key extension is that programmable AND devices in PLA is replaced by Look-Up Tables (LUTs). A series of cascaded LUTs in the array can generate more complex terms, which we call generalized complex terms (GCTs), than product terms. In order to utilize the capability, a synthesis approach to map a given function into the array is also proposed. Our approach generates a expression of the sum of GCTs aiming to minimize the number of terms. A number of experimental results demonstrate that the number of terms for our PLD generated by our approach is 14.9% fewer than that by an existing approach. We design our PLD based on a fundamental unit named nGCT cell which can be used as LUTs in multiple sizes or random access memories. Implementation of the PLD based on a fundamental unit named nGCT cell which can be used as LUTs or random access memories is also described.