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==Differential Logic==
==Examples of Logical Orbits==
===Version 1===
{| align="center" cellpadding="8" style="text-align:center"
{| align="center" cellpadding="8" style="text-align:center"
0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
4 & '' & '' & '' & '' & '' & '' & '' & '' & '' & '' & \ldots \\
\end{array}</math>
|}
===Version 2===
{| align="center" cellpadding="8" style="text-align:center"
|-
| <math>\text{Orbit 1. Intitial Point :}~ (u, v) = (1, 1)</math>
|-
|
<math>\begin{array}{c|cc|cc|cc|cc|cc|c}
t & u & v & du & dv & d^2 u & d^2 v & d^3 u & d^3 v & d^4 u & d^4 v & \ldots \\
\\
0 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
1 & 1 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
4 & '' & '' & '' & '' & '' & '' & '' & '' & '' & '' & \ldots \\
\end{array}</math>
|-
| <math>\text{Orbit 2. Intitial Point :}~ (u, v) = (0, 0)</math>
|-
|
<math>\begin{array}{c|cc|cc|cc|cc|cc|c}
t & u & v & du & dv & d^2 u & d^2 v & d^3 u & d^3 v & d^4 u & d^4 v & \ldots \\
\\
0 & 0 & 0 & 0 & 1 & 1 & 0 & 0 & 1 & 1 & 0 & \ldots \\
1 & 0 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & \ldots \\
2 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
3 & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & \ldots \\
4 & '' & '' & '' & '' & '' & '' & '' & '' & '' & '' & \ldots \\
4 & '' & '' & '' & '' & '' & '' & '' & '' & '' & '' & \ldots \\
\end{array}</math>
\end{array}</math>