ParityScript: An Operational Framework for Parity-Based Cognitive Representation and Ontological Irreducibility

<p>This paper introduces ParityScript, a novel formal language designed to represent, transform, and interpret ontological structures using binary cognition. By leveraging parity-based operations and transitions, the framework offers a computational grammar that enables AI systems to trace meaning, balance dualities, and model layered realities.</p> <p>ParityScript serves as a foundational layer for intelligent agents that must navigate contradictory, symmetrical, or complementary states of knowledge, allowing the mapping and stabilization of meaning paths through logic-like constructs.</p> <p>The approach is ontologically agnostic, enabling integration into diverse AI applications including ethical decision-making, self-modeling agents, and narrative simulation systems.</p> <p>This work is part of a larger initiative to build transparent, explainable, and ontology-aware computation at the intersection of cognition, language, and logic.</p>