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  • 标题:ON THE AXIOMATISABILITY OF PARALLEL COMPOSITION
  • 本地全文:下载
  • 作者:Luca Aceto ; Valentina Castiglioni ; Anna Ingolfsdottir
  • 期刊名称:Logical Methods in Computer Science
  • 印刷版ISSN:1860-5974
  • 电子版ISSN:1860-5974
  • 出版年度:2022
  • 卷号:18
  • 期号:1
  • 页码:1-51
  • DOI:10.46298/lmcs-18(1:15)2022
  • 语种:English
  • 出版社:Technical University of Braunschweig
  • 摘要:This paper studies the existence of finite equational axiomatisations of the interleaving parallel composition operator modulo the behavioural equivalences in van Glabbeek's linear time-branching time spectrum. In the setting of the process algebra BCCSP over a finite set of actions, we provide finite, ground-complete axiomatisations for various simulation and (decorated) trace semantics. We also show that no congruence over BCCSP that includes bisimilarity and is included in possible futures equivalence has a finite, ground-complete axiomatisation; this negative result applies to all the nested trace and nested simulation semantics.
  • 关键词:Axiomatisation;Parallel composition;Linear time-branching time spectrum
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