Equational Reasoning on Mobile Ad Hoc Networks

Article type: Research Article

Authors: Ghassemi, Fatemeh | Fokkink, Wan | Movaghar, Ali

Affiliations: Sharif University of Technology, Tehran, Iran. fghassemi@mehr.sharif.edu | Vrije Universiteit, Amsterdam, The Netherlands. wanf@cs.vu.nl | Sharif University of Technology, Tehran, Iran. movaghar@sharif.edu

Abstract: We provide an equational theory for Restricted Broadcast Process Theory to reason about ad hoc networks. We exploit an extended algebra called Computed Network Theory to axiomatize restricted broadcast. It allows one to define the behavior of an ad hoc network with respect to the underlying topologies. We give a sound and ground-complete axiomatization for CNT terms with finite-state behavior, modulo what we call rooted branching computed network bisimilarity.

DOI: 10.3233/FI-2010-371

Journal: Fundamenta Informaticae, vol. 105, no. 4, pp. 375-415, 2010