Applied Automata Theory

¿List of ContributorsPrefaceAlgebraic Foundations for Automata Theory 1. Semigroups 2. Groups and Homomorphisms 3. Partially Ordered Sets and Lattices 4. Congruences and Other RelationsAn Introduction t o Regular Expressions 1. Introduction 2. Definitions 3. Some Laws 4. Historical Remarks 5. Establishing Equations 6. Proof by Reparsing 7. Logical Systems 8. Graph Manipulation 9. Star Height ReferencesStochastic Automata and Discrete Systems Theory 1. Introduction 2. Finite Automata 3. Characterization of Stochastic Automata 4. State Probabilities and z-Transform Analysis 5. Multistage Decision Process 6. Entropy of a Stochastic Automaton 7. Unreliable Finite Automaton 8. Eigenvalues of a Stochastic Automaton BibliographySwitching Networks as Models of Discrete Stochastic Processes 1. Introduction 2. Introduction to Discrete Probability Theory 3. Some Current Research in Stochastic Sequential Machine Theory 4. On the Synthesis of Stochastic Sequential Machines 5. Applications References Bibliography Bibliography on Random NumbersApplications of Automata Theory in Coding 1. Introduction 2. Autonomous Linear Sequential Circuits and Cyclic Codes 3. Driven Linear Sequential Circuits and Convolutional Codes 4. Automata Stability and Error Propagation 5. State-Observability, State-Controllability, and Burst-Correction 6. Feed-Forward Inverses and Convolutional Codes 7. Concluding Remarks ReferencesContent Addressable and Distributed Logic Memories 1. Introduction 2. The Woven Cryotron Memory 3. Associative Memories 4. The Cell Memory 5. The Two-Dimensional Distributed Logic Memory 6. Distributed Logic Computer Systems ReferencesRecursive Functions and Switching-Circuit Theory 1. Introduction 2. Sets, Cardinality, and the Natural Numbers 3. Computability and the Turing Machine 4. Recursive Functions and Switching Circuits ReferencesSynthesis of a Cellular Computer 1. Introduction 2. The Twenty-Nine-State Model 3. The Memory Assembly 4. The Nontransfer Instruction Assembly 5. The Transfer Instruction Assembly 6. A Crossover Network 7. The Cellular Machine 8. Physical Considerations ReferencesFundamentals of Threshold Logic 1. Introduction 2. Monotonicity Theory 3. Test Synthesis 4. Synthesis of Nets Appendix A: Integral-Minimal One-Realizations of Five-Argument Threshold Functions Appendix B: Realizations and Chow Parameters for Six-Argument Threshold Functions ReferencesAuthor IndexSubject Index