On the unification of process semantics: observational semantics

Citation
Frutos Escrig, D., Gregorio Rodríguez, C. & Palomino Tarjuelo, M. «On the Unification of Process Semantics: Observational Semantics». SOFSEM 2009: Theory and Practice of Computer Science, editado por Mogens Nielsen et al., vol. 5404, Springer Berlin Heidelberg, 2009, pp. 279-90. DOI.org (Crossref), https://doi.org/10.1007/978-3-540-95891-8_27.
Abstract
The complexity of parallel systems has produced a large collection of semantics for processes. Van Glabbeek’s linear time-branching time spectrum provides a classification of most of these semantics; however, no suitable unified definitions were available. We have discovered how to unify them, both in an observational framework and in an equational framework. In this first part of our study we present the observational semantics, that stresses the differences between the simulation (branching) semantics and the extentional (linear) semantics. As a result we rediscover the classification in van Glabbeek’s spectrum and shed light on it, obtaining a framework where we can consider all the semantics in the spectrum at the same time. Also, we have discovered some “lost links” that correspond to semantics, possibly not too interesting (at the moment), that provide a clearer picture of the spectrum.
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