Dimensional Complexity and Algorithmic Efficiency

TL;DR

This paper introduces a unified theory of intelligence based on algorithmic efficiency, defining dimensional complexity and analyzing the properties of an optimally efficient algorithm that generates the number line.

Contribution

It presents a novel concept of dimensional complexity within algorithmic efficiency and characterizes the properties of an optimal algorithm for generating the number line.

Findings

Optimal algorithm has zero time and space complexity

Optimal algorithm has infinite dimensional complexity

Number line generation achieved by the optimal algorithm

Abstract

This paper uses the concept of algorithmic efficiency to present a unified theory of intelligence. Intelligence is defined informally, formally, and computationally. We introduce the concept of Dimensional complexity in algorithmic efficiency and deduce that an optimally efficient algorithm has zero Time complexity, zero Space complexity, and an infinite Dimensional complexity. This algorithm is used to generate the number line.