A semantic representation (SemR) is a quadruple consisting of four structures: SemR = <SemS, Sem-CommS, Sem-RhetS, Sem-RefS>

• The main or carrying structure SemS is the semantic structure
• The Sem-CommS is the semantic-communicative structure
• The Sem-RhetS is the rhetoric structure
• The Sem-RefS is the referential structure

A semantic representation is meant to portray the meaning common to the set of all utterances that have the same meaning, i.e., which are synonymous.

Two remarks : First, the notion of "the same meaning" is taken to be prior to the notion of "meaning". See Hans Reichenbach. Chapter "Logic of Conversational Language" in //Elements of Symbolic Logic//. The MacMillan Company, New York,. 1948.

Second, the identity of meaning should not be taken too litterally :

• Any measurable identity depends on the degree of precision of your measure. The choice of the degree of precision is logically arbitrary but practically depends on the task for which you measure
• Having establish a particular degree of precision you can still consider meanings that are approximately identical.