Definition
Logical models of Information Retrieval (IR) are defined as those that follow a logical definition of relevance. For Cooper logical relevance is defined as “logical consequence.” To make this possible both queries and documents need to be represented by sets of declarative sentences. The query is represented by two formal statements called “component statements” of the form p and ¬p. A subset of the set of stored sentences is called “premiss set” if and only if the component statement is a logical consequence of that subset. A “minimal premiss set” for a component statement is one that is as small as possible. Logical relevance is therefore defined as a two-place relation between stored sentences and the query represented as component statements:
A stored sentence is logically relevant to (a representation of) an information need if and only if it is a member of some minimal premiss set of stored sentences for some component statement of that need.
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Crestani, F. (2018). Logical Models of Information Retrieval. In: Liu, L., Özsu, M.T. (eds) Encyclopedia of Database Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8265-9_922
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