Local and asynchronous beta-reduction (an analysis of Girard's execution formula)

Vincent Danos, Laurent Regnier

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The authors build a confluent, local, asynchronous reduction on λ-terms, using infinite objects (partial injections of Girard's (1988) algebra L*), which is simple (only one move), intelligible (semantic setting of the reduction), and general (based on a large-scale decomposition of β), and may be mechanized
Original languageEnglish
Title of host publicationLogic in Computer Science, 1993. LICS '93., Proceedings of Eighth Annual IEEE Symposium on
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages296-306
Number of pages11
ISBN (Print)0-8186-3140-6
DOIs
Publication statusPublished - Jun 1993

Keywords

  • lambda calculus
  • λ-terms
  • Girard's execution formula
  • L* algebra
  • confluent local asynchronous beta-reduction
  • infinite objects
  • large-scale decomposition
  • mechanizabilty
  • partial injections
  • semantic setting
  • single move reduction
  • Algebra
  • Geometry
  • Glass
  • Large-scale systems
  • Logic
  • Microscopy

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