Email Gateway (Aug 19 2022 at 14:01): Email Gateway (Aug 19 2022 at 14:01):From: Gerwin Klein <Gerwin.Klein@nicta.com.au>
Mechanization of the Algebra for Wireless Networks (AWN)
by Timothy Bourke
http://afp.sourceforge.net/entries/AWN.shtml
AWN is a process algebra developed for modelling and analysing protocols for Mobile Ad hoc Networks (MANETs) and Wireless Mesh Networks (WMNs). 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 (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).
Enjoy!
Gerwin
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