Strict identity refers to one type of interpretation of ellipses which include an anaphoric element (e.g. Joan likes her picture, and Peter does too). Ellipses are generally interpreted identically to their antecedent, but this "identity" can be of two types if the antecedent is or contains an anaphoric element: The ellipsis anaphora can refer to the same item as the antecedent anaphora (strict identity), or it can refer to an analogous item (sloppy identity).
For examples and references, see sloppy identity.
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