Expressing First-Order π-Calculus in Higher-Order Calculus of Communicating Systems

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摘要 Inthestudyofprocesscalculi,encodingbetweendifferentcalculiisaneffectivewaytocomparetheexpressivepowerofcalculiandcanshedlightontheessenceofwherethedifferencelies.ThomsenandSangiorgihaveworkedonthehigher-ordercalculi(higher-orderCalculusofCommunicatingSystems(CCS)andhigher-orderπ-calculus,respectively)andtheencodingfromandtofirst-orderπ-calculus.Howeverafullyabstractencodingoffirst-orderπ-calculuswithhigher-orderCCSisnotavailableup-today.Thisiswhatweintendtosettleinthispaper.Wefollowtheencodingstrategy,firstproposedbyThomsen,oftranslatingfirst-orderπ-calculusintoPlainCHOCS.Weshowthattheencodingstrategyisfullyabstractwithrespecttoearlybisimilarity(first-orderπ-calculus)andwiredbisimilarity(PlainCHOCS)(whichisabisimulationdefinedonwiredprocessesonlysendingandreceivingwires),thatisthecoreoftheencodingstrategy.Moreoverfromthefactthatthewiredbisimilarityiscontainedbythewell-establishedcontextbisimilarity,wesecurethesoundnessoftheencoding,withrespecttoearlybisimilarityandcontextbisimilarity.Weuseindextechniquetogetaroundallthetechnicaldetailstoreachthesemainresultsofthispaper.Finally,wemakesomediscussiononourworkandsuggestsomefuturework.
作者 徐贤
机构地区 不详
出版日期 2009年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)