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.
|Number of pages||23|
|Publication status||Published - Sept 1995|
|Event||7th Programming Languages: Implementations, Logics and Programs (PLILP) - Utrecht, The Netherlands|
Duration: 1 Sept 1995 → 1 Sept 1995
|Conference||7th Programming Languages: Implementations, Logics and Programs (PLILP)|
|Period||1/09/95 → 1/09/95|