Existing logic languages provide some simple " extra-logical " constructs for control manipulation , such as the cut of standard Prolog and the exception handling constructs of other versions of Prolog (e.g. SICStus Prolog). Aspects specifically concerning the flow of control in a language can be quite naturally modelled by means of the Denotational Semantics, and in particular the Denotational Semantics with Continuations. In this paper we define a De-notational Semantics with Continuations to model the flow of control of a small fragment of a logic language with an explicit exception handling mechanism. Finally we show how the cut operator can be simulated by an appropriate use of the characterized exception handling constructs.