This section briefly outlines different aspects of assertions made about concepts and the extent to which they are necessarily true or form part of a sufficient definition of the concept. More detailed illustrations of some of the points on this page are provided in D.2 Necessary and Sufficient - Examples.
AssertionsThe of consists of one or more assertions made by . Necessary ConditionsEach time an assertion is made about a concept, an must decide if that assertion is a . If the assertion is always true for that concept and its , it is a .
Sufficient DefinitionsFor each an must decide if there are one or more sets of assertions that form a of that concept. A set of assertions is a if it distinguishes a and its subtypes from other concepts.
Concepts with no Sufficient DefinitionsA that has no is a . Because have no it is not possible for a to determine if other concepts are of this concept. Similarly, it is not possible to automatically determine whether an expression is a subtype of a primitive concept. Therefore, only concepts or expressions that explicitly state they are subtypes of primitive concepts will be treated as subtypes when applying expression constraints or undertaking analysis. However, note that this does not prevent a being classified as a subtype of a . Concepts with a Sufficient DefinitionA that has at least one is a . A can determine whether the stated definitions of other concepts meet at least one of the and if so will classify these concepts as its . Similarly, it is possible to determine whether an expression is equivalent to or a subtype of a . Therefore, where expression constraints or queries refer to the results will include the inferred subtypes of these concepts. Sufficiently Defined Concepts with Necessary ConditionsIf a has one or more additional then any concept or expression that satisfies one of its will also inherit any . For example one sufficient definition of is an ulcer in a stomach structure:
However, another definition could be created with a more specific site gastric mucosa:
In both cases these definition are equivalent to . The more general definition is flexible when it comes to allowing refinement to a specific location of the ulcer within the stomach, which is actually useful information. It also avoids requiring an expression to refer specifically to the mucosa (stomach lining), which is where all gastric ulcers occur. For example, an expression including the specific location could look like this
This satisfies the sufficient definition because the finding site is a subtype of stomach structure. This will therefore classify as a type of located in the anterior wall of the gastric fundus. The problem is that a query for disorders of the gastric mucosa will not find this expression.
However, adding the definition that refers to the gastric mucosa as an additional can solve this problem. The expression satisfies the implying this is a type of . The fact that it is a type of gastric ulcer causes it to inherit so it will now be included in the query for disease in the gastric mucosa. |