It-clefts are IT (inquiry terminating) constructions

We offer a new analysis of the semantics of the English it-cleft, building on recent work on exclusive particles such as "only." The analysis emphasizes the discourse function of clefts — which, we claim, is to terminate a line of inquiry by marking an answer as complete. It accounts for the semantic effects — not previously appreciated — of focus placement within the cleft pivot. It also provides a solution to a previously discussed problem with the projection of exhaustivity from embedded contexts.