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  • 标题:Solvability in a Probabilistic Setting (Invited Talk)
  • 本地全文:下载
  • 作者:Simona Ronchi Della Rocca ; Ugo Dal Lago ; Claudia Faggian
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2020
  • 卷号:167
  • 页码:1:1-1:17
  • DOI:10.4230/LIPIcs.FSCD.2020.1
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:The notion of solvability, crucial in the λ-calculus, is conservatively extended to a probabilistic setting, and a complete characterization of it is given. The employed technical tool is a type assignment system, based on non-idempotent intersection types, whose typable terms turn out to be precisely the terms which are solvable with nonnull probability. We also supply an operational characterization of solvable terms, through the notion of head normal form, and a denotational model of Î>_âS., itself induced by the type system, which equates all the unsolvable terms.
  • 关键词:Probabilistic Computation; Lambda Calculus; Solvability; Intersection Types
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