A logic of sequentiality

Martin Churchill, James Laird

Research output: Chapter or section in a book/report/conference proceedingChapter or section

6 Citations (SciVal)
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Game semantics has been used to interpret both proofs and functional programs: an important further development on the programming side has been to model higher-order programs with state by allowing strategies with ``history-sensitive'' behaviour. In this paper, we develop a detailed analysis of the structure of these strategies from a logical perspective by showing that they correspond to proofs in a new kind of affine logic.
We describe the semantics of our logic formally by giving a notion of categorical model and an instance based on a simple category of games. Using further categorical properties of this model, we prove a full completeness result: each total strategy is the semantics of a unique cut-free \emph{core} proof in the system. We then use this result to derive an explicit cut-elimination procedure.
Original languageEnglish
Title of host publicationComputer Science Logic (Lecture Notes in Computer Science)
EditorsA Dawar, H Veith
Number of pages15
Publication statusPublished - 24 Aug 2010

Publication series

NameLecture Notes in Computer Science
PublisherSpringer Verlag


  • full completeness
  • sequentiality
  • Game semantics


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