The document discusses the Kennedy classification system for partially edentulous arches. The Kennedy classification includes four main classes - Class I for bilateral posterior edentulism, Class II for unilateral posterior edentulism, Class III for unilateral edentulism with teeth anterior and posterior, and Class IV for a single bilateral anterior edentulism. The Applegate rules provide additional guidelines for how to apply the Kennedy classification, such as considering missing third molars and determining the classification based on the most posterior edentulous area. The advantages of the Kennedy classification are that it allows for immediate visualization of the arch type and distinction between tooth-supported and tissue-supported prostheses.