Lanotte, Ruggero and Merro, Massimo and Tini, Simone - Equational Reasonings in Wireless Network Gossip Protocols

lmcs:4856 - Logical Methods in Computer Science, September 28, 2018, Volume 14, Issue 3
Equational Reasonings in Wireless Network Gossip Protocols

Authors: Lanotte, Ruggero and Merro, Massimo and Tini, Simone

Gossip protocols have been proposed as a robust and efficient method for disseminating information throughout large-scale networks. In this paper, we propose a compositional analysis technique to study formal probabilistic models of gossip protocols expressed in a simple probabilistic timed process calculus for wireless sensor networks. We equip the calculus with a simulation theory to compare probabilistic protocols that have similar behaviour up to a certain tolerance. The theory is used to prove a number of algebraic laws which revealed to be very effective to estimate the performances of gossip networks, with and without communication collisions, and randomised gossip networks. Our simulation theory is an asymmetric variant of the weak bisimulation metric that maintains most of the properties of the original definition. However, our asymmetric version is particularly suitable to reason on protocols in which the systems under consideration are not approximately equivalent, as in the case of gossip protocols.


Source : oai:arXiv.org:1707.03215
DOI : 10.23638/LMCS-14(3:24)2018
Volume: Volume 14, Issue 3
Published on: September 28, 2018
Submitted on: August 7, 2017
Keywords: Computer Science - Logic in Computer Science


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