  We show how strongly continuous semigroups can be associated with
evolutionary equations. For doing so, we need to define the space of admissible
history functions and initial states. Moreover, the initial value problem has
to be formulated within the framework of evolutionary equations, which is done
by using the theory of extrapolation spaces. The results are applied to two
examples. First, differential-algebraic equations in infinite dimensions are
treated and it is shown, how a C_{0}-semigroup can be associated with such
problems. In the second example we treat a concrete hyperbolic delay equation.
