<!DOCTYPE html> T3CL DSL: D’Ariano-Faggin Consciousness Theory Implementation

T3CL DSL: D’Ariano–Faggin Consciousness Theory Implementation

This page displays our PowerShell implementation of the D’Ariano–Faggin theory of consciousness with inline mathematical equations. The equations (delimited by \[ ... \]) are rendered by MathJax.

We represent the canvas as a string:

\[ s \in \Sigma^* \]

Example: \[ s_0 = \mathtt{PURE\_STATE:1010} \]

The canvas is modeled as a mapping:

\[ s: \{1, 2, \dots, n\} \to \Sigma \]


# T3CL DSL Model of the D'Ariano–Faggin Theory of Consciousness
#
# We represent the canvas as a string:
# $$ s \in \Sigma^* $$
# Example: $$ s_0 = \mathtt{PURE\_STATE:1010} $$

Class Canvas {
    [char[]] $Text

    # Constructor: initialize the canvas from an input string.
    # $$ s_0 = \text{input string converted to } s(1)s(2)\cdots s(n) $$
    Canvas ([string]$input) {
        $this.Text = $input.ToCharArray()
    }

    # Returns the string representation of the canvas.
    # $$ \text{ToString}(s) = s(1)s(2)\cdots s(n) $$
    [string] ToString() {
        return -join $this.Text
    }
}