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A Modal Linear Logic for Distribution and Mobility - extended abstract -

Nicolas Biri 1 Didier Galmiche 1
1 TYPES - Logic, proof Theory and Programming
LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We present a multi-modal, first order, intuitionistic linear logic with locations, called DMLL. It is resource-sensitive and takes into account the notions of location and mobility of formulae (seen as resources) through the introduction of three modalities. We define a sequent calculus for which cut-elimination property is proved, a based-on resource semantic model and thus we prove the soundness and completeness of the calculus. Then, we discuss an extension of DMLL with quantifications over locations, called full-DMLL, and propose, from an appropriate subset, a new distributed process calculus with modalities. The relationships between computations and proof search in such logics will be studied and illustrated in some examples.
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https://hal.inria.fr/inria-00100792
Contributor : Publications Loria <>
Submitted on : Tuesday, September 26, 2006 - 2:51:03 PM
Last modification on : Friday, February 26, 2021 - 3:28:08 PM

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  • HAL Id : inria-00100792, version 1

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Nicolas Biri, Didier Galmiche. A Modal Linear Logic for Distribution and Mobility - extended abstract -. Workshop on Linear Logic - FLOC'02, 2002, Copenhagen, Danemark, 6 p. ⟨inria-00100792⟩

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