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  • 标题:Are Two Binary Operators Necessary to Finitely Axiomatise Parallel Composition?
  • 本地全文:下载
  • 作者:Luca Aceto ; Valentina Castiglioni ; Wan Fokkink
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2021
  • 卷号:183
  • 页码:8:1-8:17
  • DOI:10.4230/LIPIcs.CSL.2021.8
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Bergstra and Klop have shown that bisimilarity has a finite equational axiomatisation over ACP/CCS extended with the binary left and communication merge operators. Moller proved that auxiliary operators are necessary to obtain a finite axiomatisation of bisimilarity over CCS, and Aceto et al. showed that this remains true when Hennessy’s merge is added to that language. These results raise the question of whether there is one auxiliary binary operator whose addition to CCS leads to a finite axiomatisation of bisimilarity. This study provides a negative answer to that question based on three reasonable assumptions.
  • 关键词:Equational logic; CCS; bisimulation; parallel composition; non-finitely based algebras
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