A first book in logic - download pdf or read online

By Henry Bradford Smith

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1. The concept of S/D trees and Inclusive Forms is presented in Sect. 2. The ternary S/D trees and their corresponding Inclusive Forms and Generalized Inclusive Forms are presented in Sect. 3. Properties of the ternary Inclusive Forms and their Ternary Generalized Inclusive Forms are presented in Sect. 4. The new extended Green/Sasao hierarchy is presented in Sect. 5. Quaternary S/D trees are presented in Sect. 6. An evolutionary algorithm for the minimization of GFSOP expressions using the Inclusive Forms polarity for the corresponding S/D trees will be presented in Sect.

Appendix G presents the NPN classification method of Boolean functions and the complexity measures that are used in Chapt. 7 and Appendix H of this Book. New evaluation results that compare the new Modified Reconstructability Analysis (MRA) structure from Chapt. 7 and Ashenhurst-Curtis and BiDecomposition are presented in Appendix H. Appendix I introduces the count for reversible Nets that were introduced in Chapt. 8. Novel optical realizations of two-valued and multiple-valued classical and reversible logics are presented in Appendix J.

Properties of the ternary Inclusive Forms and their Ternary Generalized Inclusive Forms are presented in Sect. 4. The new extended Green/Sasao hierarchy is presented in Sect. 5. Quaternary S/D trees are presented in Sect. 6. An evolutionary algorithm for the minimization of GFSOP expressions using the Inclusive Forms polarity for the corresponding S/D trees will be presented in Sect. 7. A Summary of the Chapt. is presented in Sect. 8. Although we discuss the ternary and quaternary cases, all results can be extended to an arbitrary GF(pk) fields, where p is a prime number and k is a natural number of value k ≥ 1.

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A first book in logic by Henry Bradford Smith


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