1944778
SPFD-based wire removal in standard-cell and network-of-PLA circuits
Wire removal is a technique by which the total number of wires between individual circuit nodes is reduced, either by removing wires or replacing them with other new wires. The wire removal techniques we describe in this paper are based on both binary and multivalued sets of pairs of functions to be distinguished (SPFDs). Recently, it was shown that a design style based on a multilevel network of approximately equal-sized programmable logic arrays (PLAs) results in a dense, fast, and crosstalk-resistant layout. This paper describes the application of SPFD-based wire removal techniques for circuit implementations utilizing networks of PLAs as well as standard-cells. In our first set of wire removal experiments (which utilize binary SPFD-based wire removal), we demonstrate that the benefit of SPFD-based wire removal is insignificant when the circuit is mapped using standard cells. We demonstrate that this technique is very effective in the context of a network of PLAs. In the next set of wire removal experiments, we focus only on circuits implemented using a network of PLAs. Three separate wire removal experiments are performed. Wire removal is invoked before clustering the original netlist into a network of PLAs, or after clustering, or both before and after clustering. For wire removal before clustering, binary SPFD-based wire removal is used. For wire removal after clustering, multivalued SPFD-based wire removal is used since the multioutput PLAs can be viewed as multivalued single output nodes. We demonstrate that these techniques are effective. The most effective approach is to perform wire removal both before and after clustering. Using these techniques, we obtain a reduction in placed and routed circuit area of about 11%. This reduction is significantly higher (about 20%) for the larger circuits we used in our experiments.
25278610
Topologically constrained logic synthesis
SPFDs, a mechanism for expressing flexibility during logic synthesis, were first introduced for FPGA synthesis. They were then extended to general, combinational Boolean networks and later the concept of sequential SPFDs was introduced. In this paper, we explore the idea of using SPFDs for functional decomposition. A new type of functional decomposition called topologically constrained decomposition is introduced. An algorithm is provided for solving this problem using SPFDs. Preliminary experimental results are encouraging and indicate the feasibility of the approach. A scheme is also presented for generating instances of the topologically constrained decomposition problem.
7226318
River PLAs: a regular circuit structure
A regular circuit structure called a River PLA and its re-configurable version, Glacier PLA, are presented. River PLAs provide greater regularity than circuits implemented with standard-cells. Conventional optimization stages such as technology mapping, placement and routing are eliminated. These two features make the River PLA a highly predictable structure. Glacier PLAs can be an alternative to FPGAs, but with a simpler and more efficient design methodology.
15000076
Whirlpool PLAs: a regular logic structure and their synthesis
A regular circuit structure called a Whirlpool PLA (WPLA) is proposed. It is suitable for the implementation of finite state machines as well as combinational logic. A WPLA is logically a four-level Boolean NOR network. By arranging the four logic arrays in a cycle, a compact layout is achieved. Doppio-ESPRESSO, a four-level logic minimization algorithm is developed for WPLA synthesis. No technology mapping, placement or routing is necessary for the WPLA. Area and delay trade-off is absent, because these two goals are usually compatible in WPLA synthesis.
10625095
Optimization of multi-valued multi-level networks
A program called MVSIS (Multi-Valued Sequential Interactive Synthesis) has been developed which optimizes multi-level multi-valued (MV) networks. We describe what such a network is and the capabilities contained in MVSIS. MVSIS is modeled after SIS (Sequential Interactive Synthesis), which synthesizes binary multi-level networks, but the logic network of MVSIS is such that all variables can be multi-valued, each with its own range. Included in MVSIS are almost all the technology-independent transformations of SIS for combinational and sequential logic synthesis as well as transformations specific to multi-valued nodes, such as "merge", "pair-decode" and "encode". MVSIS can read and write BLIF-MV and BLIF (Berkeley Logic Interchange Format) files which describe MV networks and binary networks respectively.
47061812
Simplification of non-deterministic multi-valued networks
We discuss the simplification of non-deterministic multi-valued (MV) networks and their internal nodes using internal flexibilities. Given the network structure and its external specification, the flexibility at a node is derived as a non-deterministic MV relation. This flexibility is used to simplify the node representation and enhance the effect of Boolean resubstitution. We show that the flexibility derived is maximum. The proposed approach has been implemented and tested in MVSIS. Experimental results show that it performs well on a variety of MV and binary benchmarks.
2623306
Partial-Order Reduction in Symbolic State Space Exploration
State space explosion is a fundamental obstacle in formal verification of designs and protocols. Several techniques for combating this problem have emerged in the past few years, among which two are significant: partial-order reductions and symbolic state space search. In asynchronous systems, interleavings of independent concurrent events are equivalent, and only a representative interleaving needs to be explored to verify local properties. Partial-order methods exploit this redundancy and visit only a subset of the reachable states. Symbolic techniques, on the other hand, capture the transition relation of a system and the set of reachable states as boolean functions. In many cases, these functions can be represented compactly using binary decision diagrams (BDDs). Traditionally, the two techniques have been practiced by two different schools—partial-order methods with enumerative depth-first search for the analysis of asynchronous network protocols, and symbolic breadth-first search for the analysis of synchronous hardware designs. We combine both approaches and develop a method for using partial-order reduction techniques in symbolic BDD-based invariant checking. We present theoretical results to prove the correctness of the method, and experimental results to demonstrate its efficacy.
17361322
Compatible observability don't cares revisited
CODCs stands for compatible observability don't cares. We first examine the definition of compatibility and when a set of CODCs is compatible. We then discuss Savoj's CODC computation for propagating CODCs from a node's output to its fanins, and show by example, that the results can depend on the current implementation of the node. Then we generalize the computation so that the result is independent of the implementation at the node. The CODCs propagated by this computation are proved to be maximal in some sense. Local don't cares (LDCs) are CODCs of a node, pre-imaged to the primary inputs and then imaged and projected to the local fanins of the node. LDCs combine CODCs with SDCs (satisfiability don't cares), but only the CODC part is propagated to the fanin network. Another form of local don't cares, propagates both the CODC and SDC parts to the fanin network. Both are shown to be compatible in some sense, but conservative. We give a method for updating both kinds of local don't cares incrementally when other nodes in the network are changed.
38476306
Partial-Order Reduction in Symbolic State-Space Exploration
State-space explosion is a fundamental obstacle in the formal verification of designs and protocols. Several techniques for combating this problem have emerged in the past few years, among which two are significant: partial-order reduction and symbolic state-space search. In asynchronous systems, interleavings of independent concurrent events are equivalent, and only a representative interleaving needs to be explored to verify local properties. Partial-order methods exploit this redundancy and visit only a subset of the reachable states. Symbolic techniques, on the other hand, capture the transition relation of a system and the set of reachable states as boolean functions. In many cases, these functions can be represented compactly using binary decision diagrams (BDDs). Traditionally, the two techniques have been practiced by two different schools—partial-order methods with enumerative depth-first search for the analysis of asynchronous network protocols, and symbolic breadth-first search for the analysis of synchronous hardware designs. We combine both approaches and develop a method for using partial-order reduction techniques in symbolic BDD-based invariant checking. We present theoretical results to prove the correctness of the method, and experimental results to demonstrate its efficacy.