Associative Digital Network Theory

1. Introduction
Nico F. Benschop

2. Simple Semigroups and the Five Basic Machines
Nico F. Benschop

3. Coupling State Machines
Nico F. Benschop

4. General Network Decomposition of State Machines
Nico F. Benschop

5. Symmetric and Planar Boolean Logic Synthesis
Nico F. Benschop

6. Fault Tolerant Logic with Error Correcting Codes
Nico F. Benschop

7. Fermat’s Small Theorem Extended tor

p?1mod?p
3

Nico F. Benschop

8. Additive Structure of Units Group mod p

k
, withCarry Extension for a Proof ofFermat’s Last Theorem
Nico F. Benschop

9. Additive Structure of Z(.) mod m

k
(Squarefree) and Goldbach’s Conjecture
Nico F. Benschop

10. Powersums ?x

p
Represent Residues modp

k
, from Fermat to Waring
Nico F. Benschop

11. Log-Arithmetic, with Single andDual Base
Nico F. Benschop

Nyckelord: Computer Science, Computer Communication Networks, Communications Engineering, Networks, Logic Design, General Algebraic Systems, Discrete Mathematics in Computer Science, Mathematical Logic and Formal Languages