Asynchronous Circuit Design

Preface
Acknowledgments
1 Introduction
1.1 Problem Specification
1.2 Communication Channels
1.3 Communication Protocols
1.4 Graphical Representations
1.5 Delay-Insensitive Circuits
1.6 Huffman Circuits
1.7 Muller Circuits
1.8 Timed Circuits
1.9 Verification
1.10 Applications
1.11 Let's Get Started
1.12 Sources
Problems
2 Communication Channels
2.1 Basic Structure
2.2 Structural Modeling in VHDL
2.3 Control Structures
2.3.1 Selection
2.3.2 Repetition
2.4 Deadlock
2.5 Probe
2.6 Parallel Communication
2.7 Example: MiniMIPS
2.7.1 VHDL Specification
2.7.2 Optimized MiniMIPS
2.8 Sources
Problems
3 Communication Protocols
3.1 Basic Structure
3.2 Active and Passive Ports
3.3 Handshaking Expansion
3.4 Reshuffling
3.5 State Variable Insertion
3.6 Data Encoding
3.7 Example: Two Wine Shops
3.8 Syntax-Directed Translation
3.9 Sources
Problems
4 Graphical Representations
4.1 Graph Basics
4.2 Asynchronous Finite State Machines
4.2.1 Finite State Machines and Flow Tables
4.2.2 Burst-Mode State Machines
4.2.3 Extended Burst-Mode State Machines
4.3 Petri Nets
4.3.1 Ordinary Petri Nets
4.3.2 Signal Transition Graphs
4.4 Timed Event/Level Structures
4.5 Sources
Problems
5 Huffman Circuits
5.1 Solving Covering Problems
5.1.1 Matrix Reduction Techniques
5.1.2 Bounding
5.1.3 Termination
5.1.4 Branching
5.2 State Minimization
5.2.1 Finding the Compatible Pairs
5.2.2 Finding the Maximal Compatibles
5.2.3 Finding the Prime Compatibles
5.2.4 Setting Up the Covering Problem
5.2.5 Forming the Reduced Flow Table
5.3 State Assignment
5.3.1 Partition Theory and State Assignment
5.3.2 Matrix Reduction Method
5.3.3 Finding the Maximal Intersectibles
5.3.4 Setting Up the Covering Problem
5.3.5 Fed-Back Outputs as State Variables
5.4 Hazard-Free Two-Level Logic Synthesis
5.4.1 Two-Level Logic Minimization
5.4.2 Prime Implicant Generation
5.4.3 Prime Implicant Selection
5.4.4 Combinational Hazards
5.5 Extensions for MIC Operation
5.5.1 Transition Cubes
5.5.2 Function Hazards
5.5.3 Combinational Hazards
5.5.4 Burst-Mode Transitions
5.5.5 Extended Burst-Mode Transitions
5.5.6 State Minimization
5.5.7 State Assignment
5.5.8 Hazard-Free Two-Level Logic Synthesis
5.6 Multilevel Logic Synthesis
5.7 Technology Mapping
5.8 Generalized C-Element Implementation
5.9 Sequential Hazards
5.10 Sources
Problems
6 Muller Circuits
6.1 Formal Definition of Speed Independence
6.1.1 Subclasses of Speed-Independent Circuits
6.1.2 Some Useful Definitions
6.2 Complete State Coding
6.2.1 Transition Points and Insertion Points
6.2.2 State Graph Coloring
6.2.3 Insertion Point Cost Function
6.2.4 State Signal Insertion
6.2.5 Algorithm for Solving CSC Violations
6.3 Hazard-Free Logic Synthesis
6.3.1 Atomic Gate Implementation
6.3.2 Generalized C-Element Implementation
6.3.3 Standard C-Implementation
6.3.4 The Single-Cube Algorithm
6.4 Hazard-Free Decomposition
6.4.1 Insertion Points Revisited
6.4.2 Algorithm for Hazard-Free Decomposition
6.5 Limitations of Speed-Independent Design
6.6 Sources
Problems
7 Timed Circuits
7.1 Modeling Timing
7.2 Regions
7.3 Discrete time
7.4 Zones
7.5 POSET Timing
7.6 Timed Circuits
7.7 Sources
Problems
8 Verification
8.1 Protocol Verification
8.1.1 Linear-Time Temporal Logic
8.1.2 Time-Quantified Requirements
8.2 Circuit Verification
8.2.1 Trace Structures
8.2.2 Composition
8.2.3 Canonical Trace Structures
8.2.4 Mirrors and Verification
8.2.5 Strong Conformance
8.2.6 Timed Trace Theory
8.3 Sources
Problems
9 Applications
9.1 Brief History of Asynchronous Circuit Design
9.2 An Asynchronous Instruction-Length Decoder
9.3 Performance Analysis
9.4 Testing Asynchronous Circuits
9.5 The Synchronization Problem
9.5.1 Probability of Synchronization Failure
9.5.2 Reducing the Probability of Failure
9.5.3 Eliminating the Probab