Title
Showing Invariance Compositionally for a Process Algebra for Network Protocols.
Abstract
This paper presents the mechanization of a process algebra for Mobile Ad hoc Networks and Wireless Mesh Networks, and the development of a compositional framework for proving invariant properties. Mechanizing the core process algebra in Isabelle/HOL is relatively standard, but its layered structure necessitates special treatment. The control states of reactive processes, such as nodes in a network, are modelled by terms of the process algebra. We propose a technique based on these terms to streamline proofs of inductive invariance. This is not sufficient, however, to state and prove invariants that relate states across multiple processes (entire networks). To this end, we propose a novel compositional technique for lifting global invariants stated at the level of individual nodes to networks of nodes.
Year
DOI
Venue
2014
10.1007/978-3-319-08970-6_10
ITP
DocType
Volume
ISSN
Journal
abs/1407.3519
Proc. Interactive Theorem Proving, ITP '14 (G. Klein & R. Gamboa, eds.), LNCS 8558, Springer, 2014, pp. 144-159
Citations 
PageRank 
References 
5
0.58
18
Authors
3
Name
Order
Citations
PageRank
Timothy Bourke111312.71
Rob J. van Glabbeek21930134.34
Peter Höfner372.67