Abstracting general syntax for XAI after decomposing explanation sub-components

Abstract Healthcare providers, policymakers, and defense contractors need to understand many types of machine learning model behaviors. While eXplainable Artificial Intelligence (XAI) provides tools for interpreting these behaviors, few frameworks, surveys, and taxonomies produce succinct yet general notation to help researchers and practitioners describe their explainability needs and quantify whether these needs are met. Such quantified comparisons could help individuals rank XAI methods by their relevance to use-cases, select explanations best suited for individual users, and evaluate what explanations are most useful for describing model behaviors. This paper collects, decomposes, and abstracts subcomponents of common XAI methods to identify a mathematically grounded syntax that applies generally to describing modern and future explanation types while remaining useful for discovering novel XAI methods . The resulting syntax, introduced as the Qi -Framework, generally defines explanation types in terms of the information being explained, their utility to inspectors, and the methods and information used to produce explanations. Just as programming languages define syntax to structure, simplify, and standardize software development, so too the Qi -Framework acts as a common language to help researchers and practitioners select, compare, and discover XAI methods. Derivative works may extend and implement the Qi -Framework to develop a more rigorous science for interpretable machine learning and inspire collaborative competition across XAI research.