Formal Methods for the Analysis of Biomedical Ontologies

This book explores the application of formal methods, rooted in mathematics and logic, to the analysis and enhancement of biomedical ontologies.  The authors take a pragmatic approach focused on generating actionable insights to achieve high-quality codified biomedical knowledge in the most active and impactful areas where ontologies have a direct real-world impact. The book first introduces simple, yet formalized strategies for discovering undesired and incoherent patterns in ontologies before exploring the application of formal concept analysis for semantic completeness. The authors then discuss formal concept analysis as an ontological engineering principle. The book goes on to highlight the power and utility of uncovering non-lattice structure for debugging ontologies. This Second Edition includes a new chapter that covers recent research on leveraging logical definitions for identifying ontological defects. The authors have also added a new chapter on the perspective of using large language models in the ontological analysis work.