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\title{Mechanization of the Algebra for Wireless Networks (AWN)}
\author{Timothy Bourke\thanks{Inria, \'Ecole normale sup\'erieure, and 
NICTA}}
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\begin{abstract}
AWN is a process algebra developed for modelling and analysing protocols for 
Mobile Ad hoc Networks (MANETs) and Wireless Mesh Networks 
(WMNs)~\cite[\textsection 4]{FehnkerEtAl:AWN:2013}.
AWN models comprise five distinct layers: sequential processes, local 
parallel compositions, nodes, partial networks, and complete networks.

This development mechanises the original operational semantics of AWN and 
introduces a variant `open' operational semantics that enables the 
compositional statement and proof of invariants across distinct network 
nodes.
It supports labels (for weakening invariants) and (abstract) data state 
manipulations.
A framework for compositional invariant proofs is developed, including a 
tactic (\verb|inv_cterms|) for inductive invariant proofs of sequential 
processes, lifting rules for the open versions of the higher layers, and a 
rule for transferring lifted properties back to the standard semantics.
A notion of `control terms' reduces proof obligations to the subset of 
subterms that act directly (in contrast to operators for combining terms and 
joining processes).

Further documentation is available in~\cite{BourkeEtAl:MechAWN:2014}.

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\section{Acknowledgements}

We thank Peter H\"ofner for agreeing to the inclusion of the simple `Toy' 
example model.

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