the boolean algebra of cubical areas as a tensor product in the category of semilattices with zero

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ID: 150824
2014
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Abstract
In this paper we describe a model of concurrency together with an algebraic structure reflecting the parallel composition. For the sake of simplicity we restrict to linear concurrent programs i.e. the ones with no loops nor branching. Such programs are given a semantics using cubical areas. Such a semantics is said to be geometric. The collection of all these cubical areas enjoys a structure of tensor product in the category of semi-lattice with zero. These results naturally extend to fully fledged concurrent programs up to some technical tricks.
Reference Key
ninin2014electronicthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Nicolas Ninin;Emmanuel Haucourt
Journal ama journal of ethics
Year 2014
DOI
10.4204/EPTCS.166.7
URL
http://arxiv.org/pdf/1410.7470v1
Keywords
computer science mathematicselectronic computers

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