In 1975, Searle stated that one should speak idiomatically unless there is some good reason not to do so. Fillmore, Kay, and O'Connor in 1988 defined an idiomatic expression or construction as something that a language user could fail to know while knowing everything else in the language. Our language is rich in conversational phrases, idioms, metaphors, and general expressions used in metaphorical meaning. These idiomatic expressions pose a particular challenge for Machine Translation (MT), because their translation for the most part does not work literally, but logically. The present book shows how idiomatic expressions can be recognized and correctly translated with the help of a bilingual idiom dictionary (English-German), a monolingual (German) corpus, and morphosyntactic rules. The work focuses on the field of Example-based Machine Translation (EBMT). A theory of idiomatic expressions with their syntactic and semantic properties is provided, followed by the practical part of the book which describes how the hybrid EBMT system METIS-II is able to correctly process idiomatic expressions. A comparison of METIS-II with three commercial systems shows that idioms are not impossible to translate as it was predicted in 1952: "The only way for a machine to treat idioms is-not to have idioms!"This book furnishes plenty of examples of idiomatic phrases and provides the foundation for how MT systems can process and translate idioms by means of simple linguistic resources.