Local Linear Logic for Locality Consciousness in Multiset Transformation


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McEvoy, H. and Hartel, P.H. (1995) Local Linear Logic for Locality Consciousness in Multiset Transformation. In: 7th Programming Languages: Implementations, Logics and Programs, PLILP 1995, Utrecht, The Netherlands (pp. pp. 357-379).

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Abstract:We use Girard's linear logic (LL) to produce a semantics for Gamma, a multiset transformation language. The semantics improves on the existing structured operational semantics (SOS) of the language by highlighting Gamma's inefficiencies, which were hidden by the SOS. We propose a new logic called local linear logic (Local LL), which adds locality-consciousness to the resource-consciousness of linear logic. As a case study, we use this logic to propose a new semantics for Gamma. The new semantics suggests an annotation of Gamma which increases its efficiency without compromising its programming style. We show how the new semantics also gives us a better understanding of parallel Gamma and its implementation, and offers insight into the nature of chemicalreaction based computational models in general.
Item Type:Conference or Workshop Item
Copyright:©1995 Springer-Verlag
Link to this item:http://purl.utwente.nl/publications/55713
Official URL:http://dx.doi.org/10.1007/BFb0026830
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