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Simple Interpretations

is a set of pairs which identify the arguments for which the property is true, that is, a binary relational extension.

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The distinction between IR and IL will become significant below when the semantics of datatypes are defined. +

The distinction between IS and IL will become significant below when the semantics of datatypes are defined. IL is allowed to be partial because some literals may fail to have a referent.

It is conventional to map a relation name to a relational extension directly.