Equational Reasoning on Ad Hoc Networks

Abstract

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 an ad hoc network with respect to the underlying topologies. We give a sound and complete axiomatization for the recursion-free part of the term algebra CNT, modulo what we call rooted branching computed network bisimilarity.