A Fixpoint-Based Calculus for Graph-Shaped Computational Fields - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2015

A Fixpoint-Based Calculus for Graph-Shaped Computational Fields

Abstract

Coordination is essential for dynamic distributed systems exhibiting autonomous behaviors. Spatially distributed, locally interacting, propagating computational fields are particularly appealing for allowing components to join and leave with little or no overhead. In our approach, the space topology is represented by a graph-shaped field, namely a network with attributes on both nodes and arcs, where arcs represent interaction capabilities between nodes. We propose a calculus where computation is strictly synchronous and corresponds to sequential computations of fixpoints in the graph-shaped field. Under some conditions, those fixpoints can be computed by synchronised iterations, where in each iteration the attributes of a node is updated based on the attributes of the neighbours in the previous iteration. Basic constructs are reminiscent of the semiring μ-calculus, a semiring-valued generalisation of the modal μ-calculus, which provides a flexible mechanism to specify the neighbourhood range (according to path formulae) and the way attributes should be combined (through semiring operators). Additional control-flow constructs allow one to conveniently structure the fixpoint computations. We illustrate our approach with a case study based on a disaster recovery scenario, implemented in a prototype simulator that we use to evaluate the performance of a disaster recovery strategy.
Fichier principal
Vignette du fichier
978-3-319-19282-6_7_Chapter.pdf (526.4 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01774933 , version 1 (24-04-2018)

Licence

Attribution

Identifiers

Cite

Alberto Lluch Lafuente, Michele Loreti, Ugo Montanari. A Fixpoint-Based Calculus for Graph-Shaped Computational Fields. 17th International Conference on Coordination Languages and Models (COORDINATION), Jun 2015, Grenoble, France. pp.101-116, ⟨10.1007/978-3-319-19282-6_7⟩. ⟨hal-01774933⟩
225 View
48 Download

Altmetric

Share

Gmail Facebook X LinkedIn More