This paper shows that, provided circuits contain no zero-delay loops, a tight relationship, full abstraction, exists between a natural event-based operational semantics for circuits and a natural denotational semantics for circuits based on causal functions on value timelines. The paper also discusses what goes wrong if zero-delay loops are allowed, and illustrates the application of this semantic relationship to modeling questions.

We analyse the semantics of aspect-oriented extensions to functional languages by presenting compositional translations of these primitives into languages with traditional notions of state and control. As a first step, we examine an existing semantic description of aspects which allows the labelling of program points. We show that a restriction of these semantics to aspects which do not preempt the execution of code can be fully abstractly translated into a functional calculus with higher order references, but that removing this restriction requires a notion of exception handling to be added to the target language in order to yield a sound semantics. Next, we proceed to show that abandoning the labelling technique, and consequently relaxing the so-called ``obliviousness'' property of aspectual languages, allows preemptive aspects to be included in the general references model without the need for exceptions. This means that the game model of general references is inherited by the aspect calculus. The net result is a clean semantic description of aspect-orientation, which mirrors recently published techniques for their implementation, and thereby provides theoretical justification for these systems. The practical validity of our semantics is demonstrated by implementing extensions to the basic calculus in Standard ML, and showing how a number of useful aspect-oriented features can be expressed using general references alone. Our theoretical methodology closely follows the proof structure that often appears in the game semantics literature, and therefore provides an operational perspective on notions such as ``bad variables'' and factorisation theorems.