• DocumentCode
    299482
  • Title

    Games semantics for full propositional linear logic

  • Author

    Lamarche, Francois

  • Author_Institution
    Dept. of Comput., Imperial Coll. of Sci., Technol. & Med., London, UK
  • fYear
    1995
  • fDate
    26-29 Jun 1995
  • Firstpage
    464
  • Lastpage
    473
  • Abstract
    We present a model of propositional classical linear logic (all the connective except for the additive constants) where the formulas are seen as two person games in which connectives are used as tokens, while the proofs are interpreted as strategies for one player. We discuss the intimate connection between these games and the structure of proofs, and prove a full completeness theorem. The main technical innovation is a “double negation” interpretation of CLL into intuitionistic linear logic
  • Keywords
    formal logic; game theory; CLL; CLL interpretation; connectives; double negation; full completeness theorem; full propositional linear logic; games semantics; intuitionistic linear logic; proofs; propositional classical linear logic; technical innovation; two person games; Concrete; Context modeling; Data structures; Ear; Educational institutions; Game theory; IEEE news; Logic; Technological innovation;
  • 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.1995.523280
  • Filename
    523280