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  • 标题:The Discriminating Power of the Let-In Operator in the Lazy Call-by-Name Probabilistic lambda-Calculus
  • 本地全文:下载
  • 作者:Simona Kasterovic ; Michele Pagani
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:131
  • 页码:1-20
  • DOI:10.4230/LIPIcs.FSCD.2019.26
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We consider the notion of probabilistic applicative bisimilarity (PAB), recently introduced as a behavioural equivalence over a probabilistic extension of the untyped lambda-calculus. Alberti, Dal Lago and Sangiorgi have shown that PAB is not fully abstract with respect to the context equivalence induced by the lazy call-by-name evaluation strategy. We prove that extending this calculus with a let-in operator allows for achieving the full abstraction. In particular, we recall Larsen and Skou's testing language, which is known to correspond with PAB, and we prove that every test is representable by a context of our calculus.
  • 关键词:probabilistic lambda calculus; bisimulation; Howe's technique; context equivalence; testing
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