Logic Optimization and Synthesis: Trends and Directions in Industry
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Optimization of Combinational Logic Circuits Based on Compatible Gates
COMPUTER SYSTEMS LABORATORY STANFORD UNIVERSITY STANFORD, CA 94305455 Optimization of Combinational Logic Circuits Based on Compatible Gates Maurizio Damiani Jerry Chih-Yuan Yang Giovanni De Micheli Technical Report: CSL-TR-93-584 September 1993 This research is sponsored by NSF and DEC under a PYI award and by ARPA and NSF under contract MIP 9115432. Optimization of Combinational Logic Circuits Based on Compatible Gates Maurizio Damiani * Jerry Chih- Yuan Yang Giovanni De Micheli Technical Report: CSL-TR-93-584 September, 1993 Computer Systems Laboratory Departments of Electrical Engineering and Computer Science Stanford University, Stanford CA 94305-4055 Abstract This paper presents a set of new techniques for the optimization of multiple-level combinational Boolean networks. We describe first a technique based upon the selection of appropriate multiple- output subnetworks (consisting of so-called compatible gates) whose local functions can be op- timized simultaneously. We then generalize the method to larger and more arbitrary subsets of gates. Because simultaneous optimization of local functions can take place, our methods are more powerful and general than Boolean optimization methods using don’t cares , where only single-gate optimization can be performed. In addition, our methods represent a more efficient alternative to optimization procedures based on Boolean relations because the problem can be modeled by a unate covering problem instead of the more difficult binate covering problem. The method is implemented in program ACHILLES and compares favorably to SIS. Key Words and Phrases: Combinational logic synthesis, don’t care methods. *Now with the Dipartimento di Elettronica ed Informatica, UniversitB di Padova, Via Gradenigo 6/A, Padova, Italy. -
Synthesis and Verification of Digital Circuits Using Functional Simulation and Boolean Satisfiability
Synthesis and Verification of Digital Circuits using Functional Simulation and Boolean Satisfiability by Stephen M. Plaza A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Computer Science and Engineering) in The University of Michigan 2008 Doctoral Committee: Associate Professor Igor L. Markov, Co-Chair Assistant Professor Valeria M. Bertacco, Co-Chair Professor John P. Hayes Professor Karem A. Sakallah Associate Professor Dennis M. Sylvester Stephen M. Plaza 2008 c All Rights Reserved To my family, friends, and country ii ACKNOWLEDGEMENTS I would like to thank my advisers, Professor Igor Markov and Professor Valeria Bertacco, for inspiring me to consider various fields of research and providing feedback on my projects and papers. I also want to thank my defense committee for their comments and in- sights: Professor John Hayes, Professor Karem Sakallah, and Professor Dennis Sylvester. I would like to thank Professor David Kieras for enhancing my knowledge and apprecia- tion for computer programming and providing invaluable advice. Over the years, I have been fortunate to know and work with several wonderful stu- dents. I have collaborated extensively with Kai-hui Chang and Smita Krishnaswamy and have enjoyed numerous research discussions with them and have benefited from their in- sights. I would like to thank Ian Kountanis and Zaher Andraus for our many fun discus- sions on parallel SAT. I also appreciate the time spent collaborating with Kypros Constan- tinides and Jason Blome. Although I have not formally collaborated with Ilya Wagner, I have enjoyed numerous discussions with him during my doctoral studies. I also thank my office mates Jarrod Roy, Jin Hu, and Hector Garcia. -
A Logic Synthesis Toolbox for Reducing the Multiplicative Complexity in Logic Networks
A Logic Synthesis Toolbox for Reducing the Multiplicative Complexity in Logic Networks Eleonora Testa∗, Mathias Soekeny, Heinz Riener∗, Luca Amaruz and Giovanni De Micheli∗ ∗Integrated Systems Laboratory, EPFL, Lausanne, Switzerland yMicrosoft, Switzerland zSynopsys Inc., Design Group, Sunnyvale, California, USA Abstract—Logic synthesis is a fundamental step in the real- correlates to the resistance of the function against algebraic ization of modern integrated circuits. It has traditionally been attacks [10], while the multiplicative complexity of a logic employed for the optimization of CMOS-based designs, as well network implementing that function only provides an upper as for emerging technologies and quantum computing. Recently, bound. Consequently, minimizing the multiplicative complexity it found application in minimizing the number of AND gates in of a network is important to assess the real multiplicative cryptography benchmarks represented as xor-and graphs (XAGs). complexity of the function, and therefore its vulnerability. The number of AND gates in an XAG, which is called the logic net- work’s multiplicative complexity, plays a critical role in various Second, the number of AND gates plays an important role cryptography and security protocols such as fully homomorphic in high-level cryptography protocols such as zero-knowledge encryption (FHE) and secure multi-party computation (MPC). protocols, fully homomorphic encryption (FHE), and secure Further, the number of AND gates is also important to assess multi-party computation (MPC) [11], [12], [6]. For example, the the degree of vulnerability of a Boolean function, and influences size of the signature in post-quantum zero-knowledge signatures the cost of techniques to protect against side-channel attacks. -
Designing a RISC CPU in Reversible Logic
Designing a RISC CPU in Reversible Logic Robert Wille Mathias Soeken Daniel Große Eleonora Schonborn¨ Rolf Drechsler Institute of Computer Science, University of Bremen, 28359 Bremen, Germany frwille,msoeken,grosse,eleonora,[email protected] Abstract—Driven by its promising applications, reversible logic In this paper, the recent progress in the field of reversible cir- received significant attention. As a result, an impressive progress cuit design is employed in order to design a complex system, has been made in the development of synthesis approaches, i.e. a RISC CPU composed of reversible gates. Starting from implementation of sequential elements, and hardware description languages. In this paper, these recent achievements are employed a textual specification, first the core components of the CPU in order to design a RISC CPU in reversible logic that can are identified. Previously introduced approaches are applied execute software programs written in an assembler language. The next to realize the respective combinational and sequential respective combinational and sequential components are designed elements. More precisely, the combinational components are using state-of-the-art design techniques. designed using the reversible hardware description language SyReC [17], whereas for the realization of the sequential I. INTRODUCTION elements an external controller (as suggested in [16]) is utilized. With increasing miniaturization of integrated circuits, the Plugging the respective components together, a CPU design reduction of power dissipation has become a crucial issue in results which can process software programs written in an today’s hardware design process. While due to high integration assembler language. This is demonstrated in a case study, density and new fabrication processes, energy loss has sig- where the execution of a program determining Fibonacci nificantly been reduced over the last decades, physical limits numbers is simulated. -
Logic Synthesis Meets Machine Learning: Trading Exactness for Generalization
Logic Synthesis Meets Machine Learning: Trading Exactness for Generalization Shubham Raif,6,y, Walter Lau Neton,10,y, Yukio Miyasakao,1, Xinpei Zhanga,1, Mingfei Yua,1, Qingyang Yia,1, Masahiro Fujitaa,1, Guilherme B. Manskeb,2, Matheus F. Pontesb,2, Leomar S. da Rosa Juniorb,2, Marilton S. de Aguiarb,2, Paulo F. Butzene,2, Po-Chun Chienc,3, Yu-Shan Huangc,3, Hoa-Ren Wangc,3, Jie-Hong R. Jiangc,3, Jiaqi Gud,4, Zheng Zhaod,4, Zixuan Jiangd,4, David Z. Pand,4, Brunno A. de Abreue,5,9, Isac de Souza Camposm,5,9, Augusto Berndtm,5,9, Cristina Meinhardtm,5,9, Jonata T. Carvalhom,5,9, Mateus Grellertm,5,9, Sergio Bampie,5, Aditya Lohanaf,6, Akash Kumarf,6, Wei Zengj,7, Azadeh Davoodij,7, Rasit O. Topalogluk,7, Yuan Zhoul,8, Jordan Dotzell,8, Yichi Zhangl,8, Hanyu Wangl,8, Zhiru Zhangl,8, Valerio Tenacen,10, Pierre-Emmanuel Gaillardonn,10, Alan Mishchenkoo,y, and Satrajit Chatterjeep,y aUniversity of Tokyo, Japan, bUniversidade Federal de Pelotas, Brazil, cNational Taiwan University, Taiwan, dUniversity of Texas at Austin, USA, eUniversidade Federal do Rio Grande do Sul, Brazil, fTechnische Universitaet Dresden, Germany, jUniversity of Wisconsin–Madison, USA, kIBM, USA, lCornell University, USA, mUniversidade Federal de Santa Catarina, Brazil, nUniversity of Utah, USA, oUC Berkeley, USA, pGoogle AI, USA The alphabetic characters in the superscript represent the affiliations while the digits represent the team numbers yEqual contribution. Email: [email protected], [email protected], [email protected], [email protected] Abstract—Logic synthesis is a fundamental step in hard- artificial intelligence. -
Basic Boolean Algebra and Logic Optimization
Fundamental Algorithms for System Modeling, Analysis, and Optimization Edward A. Lee, Jaijeet Roychowdhury, Sanjit A. Seshia UC Berkeley EECS 144/244 Fall 2011 Copyright © 2010-11, E. A. Lee, J. Roychowdhury, S. A. Seshia, All rights reserved Lec 3: Boolean Algebra and Logic Optimization - 1 Thanks to S. Devadas, K. Keutzer, S. Malik, R. Rutenbar for several slides RTL Synthesis Flow FSM, HDL Verilog, HDL Simulation/ VHDL Verification RTL Synthesis a 0 d q Boolean circuit/network 1 netlist b Library/ s clk module logic generators optimization a 0 d q Boolean circuit/network netlist b 1 s clk physical design Graph / Rectangles layout K. Keutzer EECS 144/244, UC Berkeley: 2 Reduce Sequential Ckt Optimization to Combinational Optimization B Flip-flops inputs Combinational outputs Logic Optimize the size/delay/etc. of the combinational circuit (viewed as a Boolean network) EECS 144/244, UC Berkeley: 3 Logic Optimization 2-level Logic opt netlist tech multilevel independent Logic opt logic Library optimization tech dependent Generic Library netlist Real Library EECS 144/244, UC Berkeley: 4 Outline of Topics Basics of Boolean algebra Two-level logic optimization Multi-level logic optimization Boolean function representation: BDDs EECS 144/244, UC Berkeley: 5 Definitions – 1: What is a Boolean function? EECS 144/244, UC Berkeley: 6 Definitions – 1: What is a Boolean function? Let B = {0, 1} and Y = {0, 1} Input variables: X1, X2 …Xn Output variables: Y1, Y2 …Ym A logic function ff (or ‘Boolean’ function, switching function) in n inputs and m -
The Basics of Logic Design
C APPENDIX The Basics of Logic Design C.1 Introduction C-3 I always loved that C.2 Gates, Truth Tables, and Logic word, Boolean. Equations C-4 C.3 Combinational Logic C-9 Claude Shannon C.4 Using a Hardware Description IEEE Spectrum, April 1992 Language (Shannon’s master’s thesis showed that C-20 the algebra invented by George Boole in C.5 Constructing a Basic Arithmetic Logic the 1800s could represent the workings of Unit C-26 electrical switches.) C.6 Faster Addition: Carry Lookahead C-38 C.7 Clocks C-48 AAppendixC-9780123747501.inddppendixC-9780123747501.indd 2 226/07/116/07/11 66:28:28 PPMM C.8 Memory Elements: Flip-Flops, Latches, and Registers C-50 C.9 Memory Elements: SRAMs and DRAMs C-58 C.10 Finite-State Machines C-67 C.11 Timing Methodologies C-72 C.12 Field Programmable Devices C-78 C.13 Concluding Remarks C-79 C.14 Exercises C-80 C.1 Introduction This appendix provides a brief discussion of the basics of logic design. It does not replace a course in logic design, nor will it enable you to design signifi cant working logic systems. If you have little or no exposure to logic design, however, this appendix will provide suffi cient background to understand all the material in this book. In addition, if you are looking to understand some of the motivation behind how computers are implemented, this material will serve as a useful intro- duction. If your curiosity is aroused but not sated by this appendix, the references at the end provide several additional sources of information. -
Gate Logic Logic Optimization Overview
Lecture 5: Gate Logic Logic Optimization MAH, AEN EE271 Lecture 5 1 Overview Reading McCluskey, Logic Design Principles- or any text in boolean algebra Introduction We could design at the level of irsim - Think about transistors as switches - Build collections of switches that do useful stuff - Don’t much care whether the collection of transistors is a gate, switch logic, or some combination. It is a collection of switches. But this is pretty complicated - Switches are bidirectional, charge-sharing, - Need to worry about series resistance… MAH, AEN EE271 Lecture 5 2 Logic Gates Constrain the problem to simplify it. • Constrain how one can connect transistors - Create a collection of transistors where the Output is always driven by a switch-network to a supply (not an input) And the inputs to this unit only connect the gate of the transistors • Model this collection of transistors by a simpler abstraction Units are unidirectional Function is modelled by boolean operations Capacitance only affects speed and not functionality Delay through network is sum of delays of elements This abstract model is one we have used already. • It is a logic gate MAH, AEN EE271 Lecture 5 3 Logic Gates Come in various forms and sizes In CMOS, all of the primitive gates1 have one inversion from each input to the output. There are many versions of primitive gates. Different libraries have different collections. In general, most libraries have all 3 input gates (NAND, NOR, AOI, and OAI gates) and some 4 input gates. Most libraries are much richer, and have a large number of gates. -
Logical Equivalence Checking of Asynchronous Circuits Using Commercial Tools
Logical Equivalence Checking of Asynchronous Circuits Using Commercial Tools Arash Saifhashemi Hsin-Ho Huang Priyanka Bhalerao Peter A. Beerel∗ Intel Corporation Electrical Engineering Yahoo Corporation Electrical Engineering Santa Clara, CA University of Southern California Sunnyvale, CA University of Southern California Email: [email protected] Los Angeles, CA Email: [email protected] Los Angeles, CA Email: [email protected] Email: [email protected] Abstract—We propose a method for logical equivalence check generally cannot be used to compare CSP with decomposed (LEC) of asynchronous circuits using commercial synchronous versions because the decomposition often introduces pipelining tools. In particular, we verify the equivalence of asynchronous that changes the allowed sequence of events at the external circuits which are modeled at the CSP-level in SystemVerilog as interface. Therefore, some researchers only check critical prop- well as circuits modeled at the micro-architectural level using con- erties on the final decomposed design [15], [16]. ditional communication library primitives. Our approach is based on a novel three-valued logic model that abstracts the detailed Our proposed approach is different from the previous work handshaking protocol and is thus agnostic to different gate-level in the following ways: first, since it is focused on CSP- implementations, making it applicable to a variety of different level designs, it is implementation-agnostic and can be used design styles. Our experimental results with commercial LEC for design flows that target various asynchronous templates. tools on a variety of computational blocks and an asynchronous Secondly, compared to [11], we explicitly support modules microprocessor demonstrate the applicability and limitations of the proposed approach. -
Verilog HDL 1
chapter 1.fm Page 3 Friday, January 24, 2003 1:44 PM Overview of Digital Design with Verilog HDL 1 1.1 Evolution of Computer-Aided Digital Design Digital circuit design has evolved rapidly over the last 25 years. The earliest digital circuits were designed with vacuum tubes and transistors. Integrated circuits were then invented where logic gates were placed on a single chip. The first integrated circuit (IC) chips were SSI (Small Scale Integration) chips where the gate count was very small. As technologies became sophisticated, designers were able to place circuits with hundreds of gates on a chip. These chips were called MSI (Medium Scale Integration) chips. With the advent of LSI (Large Scale Integration), designers could put thousands of gates on a single chip. At this point, design processes started getting very complicated, and designers felt the need to automate these processes. Electronic Design Automation (EDA)1 techniques began to evolve. Chip designers began to use circuit and logic simulation techniques to verify the functionality of building blocks of the order of about 100 transistors. The circuits were still tested on the breadboard, and the layout was done on paper or by hand on a graphic computer terminal. With the advent of VLSI (Very Large Scale Integration) technology, designers could design single chips with more than 100,000 transistors. Because of the complexity of these circuits, it was not possible to verify these circuits on a breadboard. Computer- aided techniques became critical for verification and design of VLSI digital circuits. Computer programs to do automatic placement and routing of circuit layouts also became popular. -
Deep Learning for Logic Optimization Algorithms
Deep Learning for Logic Optimization Algorithms Winston Haaswijky∗, Edo Collinsz∗, Benoit Seguinx∗, Mathias Soekeny, Fred´ eric´ Kaplanx, Sabine Susstrunk¨ z, Giovanni De Micheliy yIntegrated Systems Laboratory, EPFL, Lausanne, VD, Switzerland zImage and Visual Representation Lab, EPFL, Lausanne, VD, Switzerland xDigital Humanities Laboratory, EPFL, Lausanne, VD, Switzerland ∗These authors contributed equally to this work Abstract—The slowing down of Moore’s law and the emergence to the state-of-the-art. Finally, our algorithm is a generic of new technologies puts an increasing pressure on the field optimization method. We show that it is capable of performing of EDA. There is a constant need to improve optimization depth optimization, obtaining 92.6% of potential improvement algorithms. However, finding and implementing such algorithms is a difficult task, especially with the novel logic primitives and in depth optimization of 3-input functions. Further, the MCNC potentially unconventional requirements of emerging technolo- case study shows that we unlock significant depth improvements gies. In this paper, we cast logic optimization as a deterministic over the academic state-of-the-art, ranging from 12.5% to Markov decision process (MDP). We then take advantage of 47.4%. recent advances in deep reinforcement learning to build a system that learns how to navigate this process. Our design has a II. BACKGROUND number of desirable properties. It is autonomous because it learns automatically and does not require human intervention. A. Deep Learning It generalizes to large functions after training on small examples. With ever growing data sets and increasing computational Additionally, it intrinsically supports both single- and multi- output functions, without the need to handle special cases. -
Object-Oriented Development for Reconfigurable Architectures
Object-Oriented Development for Reconfigurable Architectures Von der Fakultät für Mathematik und Informatik der Technischen Universität Bergakademie Freiberg genehmigte DISSERTATION zur Erlangung des akademischen Grades Doktor Ingenieur Dr.-Ing., vorgelegt von Dipl.-Inf. (FH) Dominik Fröhlich geboren am 19. Februar 1974 Gutachter: Prof. Dr.-Ing. habil. Bernd Steinbach (Freiberg) Prof. Dr.-Ing. Thomas Beierlein (Mittweida) PD Dr.-Ing. habil. Michael Ryba (Osnabrück) Tag der Verleihung: 20. Juni 2007 To my parents. ABSTRACT Reconfigurable hardware architectures have been available now for several years. Yet the application devel- opment for such architectures is still a challenging and error-prone task, since the methods, languages, and tools being used for development are inappropriate to handle the complexity of the problem. This hampers the widespread utilization, despite of the numerous advantages offered by this type of architecture in terms of computational power, flexibility, and cost. This thesis introduces a novel approach that tackles the complexity challenge by raising the level of ab- straction to system-level and increasing the degree of automation. The approach is centered around the paradigms of object-orientation, platforms, and modeling. An application and all platforms being used for its design, implementation, and deployment are modeled with objects using UML and an action language. The application model is then transformed into an implementation, whereby the transformation is steered by the platform models. In this thesis solutions for the relevant problems behind this approach are discussed. It is shown how UML can be used for complete and precise modeling of applications and platforms. Application development is done at the system-level using a set of well-defined, orthogonal platform models.