• DocumentCode
    3293546
  • Title

    Games and full abstraction for the lazy λ-calculus

  • Author

    Abramsky, Samson ; McCusker, Guy

  • Author_Institution
    Dept. of Comput., Imperial Coll. of Sci., Technol. & Med., London, UK
  • fYear
    1995
  • fDate
    26-29 Jun 1995
  • Firstpage
    234
  • Lastpage
    243
  • Abstract
    We define a category of games 𝒢, and its extensional quotient ℰ. A model of the lazy X-calculus, a type-free functional language based on evaluation to weak head normal form, is given in 𝒢, yielding an extensional model in ℰ. This model is shown to be fully abstract with respect to applicative simulation. This is, so fear as we known, the first purely semantic construction of a fully abstract model for a reflexively-typed sequential language
  • Keywords
    formal languages; game theory; lambda calculus; programming languages; extensional model; extensional quotient; full abstraction; fully abstract model; games; lazy X-calculus; lazy lambda-calculus; purely semantic construction; reflexively-typed sequential language; type-free functional language; weak head normal form; Calculus; Computational modeling; Educational institutions; Game theory; Head;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Logic in Computer Science, 1995. LICS '95. Proceedings., Tenth Annual IEEE Symposium on
  • Conference_Location
    San Diego, CA
  • ISSN
    1043-6871
  • Print_ISBN
    0-8186-7050-9
  • Type

    conf

  • DOI
    10.1109/LICS.1995.523259
  • Filename
    523259