Quantum Structures as Generative Scores: Partition Logic, Generative Logic, and Aesthetic Form

TL;DR

This paper introduces a method linking partition logic with generative logic to create modular visual artifacts, demonstrating how logical structures can be used for design and communication.

Contribution

It translates finite partition logics into Prolog-based generative grammars and applies this to generate a visual artifact called the Quantum Square.

Findings

Successfully generated the Quantum Square using partition logic

Separated logical structure from visual or auditory realization

Showed partition logic's utility in design and communication

Abstract

We connect partition logic with Generative Logic by translating finite partition logics into Prolog-based Simple Generative Logic Grammars. As a proof of concept, we use the five-atom V-logic L_{12} to generate a modular visual artifact, the \emph{Quantum Square}. The approach separates logical structure from its visual, textual, or sonic realization. This makes partition logic useful both as a generative design resource and as a tool for communicating complementarity.