This paper explores possibilities for formulating linguistic semantics in terms of records and record types of the kind used in recent developments of Martin-Löf type theory. We will suggest that this gives us tools to develop a single theory which includes aspects of Montague semantics, Discourse Representation Theory, situation semantics and Head-Driven Phrase Structure Grammar. We will also argue that formulating these theories in terms of record types may provide us not only with a unified approach but also with certain improvements over the individual theories.
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Robin Cooper (2005) studied this question.
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