On the Expressive Power of Live Sequence Charts

Abstract

The Live Sequence Charts (LSC) language is a formally rigorous variant of the well-known scenario language Message Sequence Charts (MSC). LSCs yield expressive power by means to distinguish mandatory and scenario behaviour, means to characterise by another scenario the context in which a specification applies, and means to distinguish required from possible progress, i.e. to require liveness. From the original proposal by Damm & Harel [1], two slightly different dialects emerged, one in the context of LSC play-in and -out [2] and one for the use of LSCs as formal requirements specification language in formal, model-based approaches to software development [3]. In this paper, we investigate the expressive power of LSCs in the sense of [3]. That is, we first (constructively) show that for each LSC there is an equivalent CTL * formula. Complementing existing work, we show that the containment is strict, that is, not each CTL* formula has an equivalent LSC. To complete the discussion, we present for the first time a way back, from a syntactically characterised fragment of CTL* to the subset of bonded LSC specifications, thereby establishing an equivalence.