Thinking, Learning, and Autonomous Problem Solving

TL;DR

This paper proposes a new thinking and learning model as an alternative to genetic programming, enabling automatic problem solving by exploiting mathematical structures in the space of constructs, with applications across various fields.

Contribution

It introduces a formal model and macro language for autonomous problem solving, facilitating rapid prototyping and analysis of complex problems.

Findings

Prototype implemented in PERL demonstrating the model

Potential applications in nonlinear differential equations and pattern recognition

Enables more efficient problem analysis and solution development

Abstract

Ever increasing computational power will require methods for automatic programming. We present an alternative to genetic programming, based on a general model of thinking and learning. The advantage is that evolution takes place in the space of constructs and can thus exploit the mathematical structures of this space. The model is formalized, and a macro language is presented which allows for a formal yet intuitive description of the problem under consideration. A prototype has been developed to implement the scheme in PERL. This method will lead to a concentration on the analysis of problems, to a more rapid prototyping, to the treatment of new problem classes, and to the investigation of philosophical problems. We see fields of application in nonlinear differential equations, pattern recognition, robotics, model building, and animated pictures.