Conditionals in Algebraic Process Calculi

AbstractConditionals of some form are incorporated in various algebraic process calculi. What is considered to be conditions and how they are evaluated differs from one case to another. This paper gives an overview of the history of conditionals in algebraic process calculi, including the recent elaborate investigation into the potentialities of conditionals in the setting of ACP. The history of conditionals in algebraic process calculi is remarkable. It shows among other things that the potentialities of conditionals in algebraic process calculi have been underestimated for a long time. The paper ends by mentioning some open problems

Strong splitting bisimulation equivalence

Abstract. We present ACP c, a process algebra with conditional expressions in which the conditions are taken from a Boolean algebra, and extensions of this process algebra with mechanisms for condition evaluation. We confine ourselves to finitely branching processes. This restriction makes it possible to present ACP c in a concise and intuitively clear way, and to bring the notion of splitting bisimulation equivalence and the issue of condition evaluation in process algebras with conditional expressions to the forefront.