Bounded Linear Logic, Revisited

Computer Science – Logic in Computer Science

Scientific paper

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Scientific paper

10.2168/LMCS-6(4:7)2010

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.

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