文章基本信息

标题：Presheaf Models for CCS-like Languages
本地全文：下载
作者：Gian Luca Cattani ; Glynn Winskel
期刊名称：BRICS Report Series
印刷版ISSN：0909-0878
出版年度：1999
卷号：6
期号：36
出版社：Aarhus University
摘要：The aim of this paper is to harness the mathematical machinery around presheaves for the purposes of process calculi. Joyal, Nielsen and Winskel proposed a general definition of bisimulation from open maps. Here we show that open-map bisimulations within a range of presheaf models are congruences for a general process language, in which CCS and related languages are easily encoded. The results are then transferred to traditional models for processes. By first establishing the congruence results for presheaf models, abstract, general proofs of congruence properties can be provided and the awkwardness caused through traditional models not always possessing the cartesian liftings, used in the break-down of process operations, are side-stepped. The abstract results are applied to show that hereditary history-preserving bisimulation is a congruence for CCS-like languages to which is added a refinement operator on event structures as proposed by van Glabbeek and Goltz.