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This thesis studies the problem of determining the satisfiability of a Boolean combination of binary difference constraints of the form x-y where x and y are numeric variables and constant. In particular, we present y can incremental and model-based inter preter for the theory of difference constraints in the context of a generic Boolean satisfiability checking procedure capable of incorporating interpreters for arbitrary theories. We show how to use the model based approach to efficiently make inferences with the option of complete inference

The inhabitants of early medieval Britain and Ireland shared the knowledge that the region held four peoples and the awareness that they must have originally come from 'elsewhere'. The Origin Legends of Early Medieval Britain and Ireland studies these peoples' origin stories, an important genre that has shaped national identity and collective history from the early medieval period to the present day. These multilingual texts share many common features that repay their study as a genre, but have previously been isolated as four disparate traditions and used to argue for the long roots of...