Fast Heuristic and Exact Algorithms for Two-Level Hazard-Free Logic Minimization

None of the available minimizers for 2-level hazard-free logic minimization can synthesize very large circuits. This limitation has forced researchers to resort to manual and automated circuit partitioning techniques. This paper introduces two new 2-level logic minimizers:ESPRESSO-HF, a heuristic method which is loosely based on ESPRESSO-II, and IMPYMIN, an exact method based on implicit data structures. Both minimizers can solve all currently available examples, which range up to 32 inputs and 33 outputs.These include examples that have never been solved before.For examples that can be solved by other minimizers our methods are several orders of magnitude faster. As by-products of these algorithms, we also present two additional results. First, we introduce a fast new algorithm to check if a hazard-free covering problem can feasibly be solved. Second, we introduce a novel formulation of the 2-level hazard-free logic minimization problem by capturing hazard-freedom constraints within a synchronous function by adding new variables

Fast Heuristic and Exact Algorithms for Two-Level Hazard-Free Logic Minimization

None of the available minimizers for 2-level hazard-free logic minimization can synthesize very large circuits. This limitation has forced researchers to resort to manual and automated circuit partitioning techniques. This paper introduces two new 2-level logic minimizers:ESPRESSO-HF, a heuristic method which is loosely based on ESPRESSO-II, and IMPYMIN, an exact method based on implicit data structures. Both minimizers can solve all currently available examples, which range up to 32 inputs and 33 outputs.These include examples that have never been solved before.For examples that can be solved by other minimizers our methods are several orders of magnitude faster. As by-products of these algorithms, we also present two additional results. First, we introduce a fast new algorithm to check if a hazard-free covering problem can feasibly be solved. Second, we introduce a novel formulation of the 2-level hazard-free logic minimization problem by capturing hazard-freedom constraints within a synchronous function by adding new variables

MINIMALIST: An Environment for the Synthesis, Verification and Testability of Burst-Mode Asynchronous Machines

MINIMALIST is a new extensible environment for the synthesis and verification of burst-mode asynchronous finite-state machines. MINIMALIST embodies a complete technology-independent synthesis path, with state-of-the-art exact and heuristic asynchronous synthesis algorithms, e.g.optimal state assignment (CHASM), two-level hazard-free logic minimization (HFMIN, ESPRESSO-HF, and IMPYMIN), and synthesis-for-testability. Unlike other asynchronous synthesis packages, MINIMALIST also offers many options:literal vs. product optimization, single- vs. multi-output logic minimization, using vs. not using fed-back outputs as state variables, and exploring varied code lengths during state assignment, thus allowing the designer to explore trade-offs and select the implementation style which best suits the application. MINIMALIST benchmark results demonstrate its ability to produce implementations with an average of 34% and up to 48% less area, and an average of 11% and up to 37% better performance, than the best existing package. Our synthesis-for-testability method guarantees 100% testability under both stuck-at and robust path delay fault models,requiring little or no overhead. MINIMALIST also features both command-line and graphic user interfaces, and supports extension via well-defined interfaces for adding new tools. As such, it is easily augmented to form a complete path to technology-dependent logic

Achieving fast and exact hazard-free logic minimization of extended burst-mode gC finite state machines

Journal ArticleAbstract This paper presents a new approach to two-level hazard-free logic minimization in the context of extended burst-mode finite state machine synthesis targeting generalized C-elements (gC). No currently available minimizers for literal-exact two-level hazard-free logic minimization of extended burst-mode gC controllers can handle large circuits without synthesis times ranging up over thousands of seconds. Even existing heuristic approaches take too much time when iterative exploration over a large design space is required and do not yield minimum results. The logic minimization approach presented in this paper is based on state graph exploration in conjunction with single-cube cover algorithms, an approach that has not been considered for minimization of extended burst-mode finite state machines previously. Our algorithm achieves very fast logic minimization by introducing compacted state graphs and cover tables and an efficient single-cube cover algorithm for single-output minimization. Our exact logic minimizer finds minimal number of literal solutions to all currently available benchmarks, in less than one second on a 333 MHz microprocessor - more than three orders of magnitude faster than existing literal exact methods, and over an order of magnitude faster than existing heuristic methods for the largest benchmarks. This includes a benchmark that has never been possible to solve exactly in number of literals before

Inertia and Change in the Early Years: Employment Relations in Young, High Technology Firms

[Excerpt] This paper considers processes of organizational imprinting in a sample of 100 young, high technology companies. It examines the effects of a pair of initial conditions: the founders\u27 models of the employment relation and their business strategies. Our analyses indicate that these two features were well aligned when the firms were founded. However, the alignment has deteriorated over time, due to changes in the distribution of employment models. In particular, the \u27star\u27 model and \u27commitment\u27 model are less stable than the \u27engineering\u27 model and the \u27factory\u27 model. Despite their instability, these two blueprints for the employment relation have strong effects in shaping the early evolution of these firms. In particular, firms that embark with these models have significantly higher rates of replacing the founder chief executive with a non-founder as well as higher rates of completing an initial public stock offering. Some implications of these findings for future studies of imprinting and inertia in organizations are discussed

Synthesis for Logical Initializability of Synchronous Finite State Machines

A new method is introduced for the synthesis for logical initializability of synchronous state machines. The goal is to synthesize a gate-level implementation that is initializable when simulated by a 3-valued (0,1,X) simulator. The method builds on an existing approach of Cheng and Agrawal, which uses constrained state assignment to translate functional initializability into logical initializability. Here, a different state assignment method is proposed which, unlike the method of Cheng and Agrawal, is guaranteed safe and yet is not as conservative. Furthermore, it is demonstrated that certain new constraints on combinational logic synthesis are both necessary and sufficient to insure that the resulting gate-level circuit is 3-valued simulatable. Interestingly, these constraints are similar to those used for hazard-free synthesis of asynchronous combinational circuits. Using the above constraints, we present a complete synthesis for initializability method, targeted to both two-level and multi-level circuits

The post office experience: designing a large asynchronous chip

Journal ArticleThe Post Office is an asynchronous, 300,000 transistor, full-custom CMOS chip designed as the communication component for the Mayfly scalable parallel processor. Performance requirements led to the development of a design style which permits the design of sequential circuits operating under a restricted form of multiple input change sign alling called burst-mode. The Post Office complexity forced us to develop a set of design fools capable of correctly synthesizing transistor circuits front state machine and equation specifications, and capable of verifying the correctness of the resultant circuity using implementation specific timing assumptions. The paper provides a case study of this design experience