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.

U. Dal Lago, M. Hofmann (2009). Bounded Linear Logic, Revisited. BERLIN : Springer.

Bounded Linear Logic, Revisited

DAL LAGO, UGO;
2009

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.
2009
Lecture Notes in Computer Science
80
94
U. Dal Lago, M. Hofmann (2009). Bounded Linear Logic, Revisited. BERLIN : Springer.
U. Dal Lago; M. Hofmann
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/86891
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