Bounded Linear Logic, Revisited

  • Authors:
  • Ugo Lago;Martin Hofmann

  • Affiliations:
  • Dipartimento di Scienze dell'Informazione, Università di Bologna,;Institut für Informatik, LMU München,

  • Venue:
  • TLCA '09 Proceedings of the 9th International Conference on Typed Lambda Calculi and Applications
  • Year:
  • 2009

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Abstract

We present QBAL, an extension of Girard, Scedrov and Scott's bounded linear logic. The main novelty of the system is the possibility of quantifying over resource variables. This generalization makes bounded linear logic considerably more flexible, while preserving soundness and completeness for polynomial time. In particular, we provide compositional embeddings of Leivant's RRW and Hofmann's LFPL into QBAL.