Switching Machines

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160,49 

Volume 2 Sequential Systems

ISBN: 9401028699
ISBN 13: 9789401028691
Autor: Perrin, J P/Denouette, M/Daclin, E
Verlag: Springer Verlag GmbH
Umfang: xiv, 421 S.
Erscheinungsdatum: 13.10.2011
Auflage: 1/1972
Produktform: Kartoniert
Einband: Kartoniert
Artikelnummer: 5645221 Kategorie:

Beschreibung

Inhaltsangabe7/Synthesis of the Tables.- 7.1. Generalizations.- 7.1.1. Introduction.- 7.1.2. Review of a sequential system's general equations.- 7.1.3. Normal form of the hypotheses.- 7.2. Natural methods.- 7.2.1. Ginsburg method-first case.- 7.2.1.2. The method in the general case.- 7.2.2. Ginsburg method-second case.- 7.2.2.1. Introductory examples.- 7.2.2.2. General statement of the method.- 7.2.3. Aizerman's method.- 7.2.3.1. Introductory example.- 7.2.3.2. General statement of the Aizerman method.- 7.2.3.3. Other examples of application.- 7.2.4. Asynchronous machines-Moisil-Ioanin method.- 7.3. Algebraic methods-Notion of a regular expression.- 7.3.1. Introduction.- 7.3.2. The algebra of regular expressions.- 7.4. Gloushkov method.- 7.4.1. Generalizations. Indexation of regular expressions.- 7.4.2. Examples of synthesis starting from regular expressions.- 7.4.2.1. First example.- 7.4.2.2. Second example of synthesis by the Gloushkov method.- 7.4.3. Statement of the Gloushkov method.- 7.4.4. Application of regular expression to the synthesis of asynchronous systems.- 7.4.4.1. Representation of asynchronous controls in terms of regular expressions.- 7.4.4.2. Example of synthesis of an asynchronous system.- 7.5. Conclusion.- 7.A. Brzozowski method.- 7. A.1. Basic definitions. The derivative of a regular expression with respect to a sequence of unity length.- 7. A.2. Use of the derivative to obtain the table of a machine.- Exercises.- 8/Reduction of the Number of States in a Table.- 8.1. Introduction-Statement of the problem.- 8.2. Equivalence of states.- 8.3. Reduction of complete tables.- 8.3.1. Construction of the table of equivalent pairs.- 8.3.2. Grouping of equivalent pairs.- 8.3.3. Formation of the minimal flow table.- 8.3.4. Another example of the minimization of a table.- 8.4. Reduction of incomplete tables.- 8.4.1. Basic definitions.- 8.4.2. Determination of compatible pairs.- 8.4.3. Grouping compatible terms.- 8.4.4. Choice of the M.C. and construction of the minimal flow table.- 8.4.5. Second example of reduction of an incomplete flow table.- 8.4.6. Third example of reduction.- 8.5. Programming of flow table reduction on digital computers.- 8.6. Reduction of a phase table.- 8.6.1. Equivalent states-pseudo-equivalent states.- 8.6.2. Row merging.- 8.7. Application of the method of compatible pairs to asynchronous systems.- 8.7.1. Synthesis of the reduction by Huffman's method.- 8.7.2. Example of the reduction of an asynchronous sequential system.- 8.7.2.1. Reduction by the method of compatible pairs.- 8.7.2.2. Reduction by the Huffman method.- 8.8. Conclusion.- Exercises.- 9/Assignment of the Internal States (Asynchronous Sequential Systems).- 9.1. Introduction.- 9.1.1. Generalizations.- 9.1.2. Asynchronous systems.- 9.1.3. Introductory example.- 9.1.4. Diverse methods and solutions.- 9.2. Connected sets.- 9.2.1. Connected sets and sequences.- 9.2.2. Application to the problem of asynchronous assignment.- 9.3. Huffman numbers.- 9.4. The influence of essential connections on the density of the assignment table.- 9.5. Reduction of the system's number of connections.- 9.5.1. Example 1.- 9.5.2. Example 2.- 9.5.3. Example 3.- 9.5.4. General principles of the method.- 9.5.5. Case of tables having 'don't cares'.- 9.6. Creation of supplementary unstable states.- 9.6.1. Example 4.- 9.6.2. Example 5.- 9.6.3. Remarks about the method.- 9.7. Incomplete merging of the primitive phase table.- 9.8. General remarks about assignment.- 9.9. Assignments and universal circuits.- 9.9.1. Universal assignments.- 9.9.2. Circuit with 2s0 + 1 relays (assignment by 2 s0 + 1 variables).- 9.9.3. Circuits with one relay per row (assignment by one variable per row).- Exercises.- 10/Assignment of Internal States (Synchronous Systems).- 10.1. Introduction.- 10.2. Distinct assignments-valid assignments.- 10.3. Example of the different assignments of a same table.- 10.4. Assignment from adjacency study.- 10.5. General concepts concerning partitions.- 10.5.1. Rela

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