A State Space Reduction Method for Model Checking of Wireless Multi-Hop Network Routing Protocols Focusing on Topologies

Author(s):  
Hideharu Kojima ◽  
Naoto Yanai
Author(s):  
Sung-Shik T. Q. Jongmans ◽  
Koen V. Hindriks ◽  
M. Birna van Riemsdijk

Author(s):  
XIAODONG YI ◽  
JI WANG ◽  
XUEJUN YANG

This paper presents a novel method, namely slicing execution, for model checking C programs with respect to temporal safety properties. The distinguished feature is that it shows a nice approach to the efficient reduction of state space by abstraction and symbolic representation. Slicing execution is founded on an over-approximated semantics of C programs by variable abstraction, and executes symbolically only the relevant statements under abstraction criteria to construct over-approximated finite models of programs, which may be model checked. The variable abstraction criterion begins with a proper initial set of program variables and may be iteratively refined according to spurious counterexamples generated during model checking. In general, the properties to be verified often involve only a few variables in practical programs. In these cases, significant state space reduction, as well as considerable improvement of the scalability, may be achieved. The presented method has been used to verify the initial handshake process of SSL protocol based on the C source code of openssl-0.9.6c. The experiment results confirm that slicing execution is not only practical but also effective.


2015 ◽  
Vol 14 (04) ◽  
pp. 1550039 ◽  
Author(s):  
S. N. Ethier ◽  
Jiyeon Lee

We study Toral’s Parrondo games with [Formula: see text] players and one-dimensional spatial dependence as modified by Xie et al. Specifically, we use computer graphics to sketch the Parrondo and anti-Parrondo regions for [Formula: see text]. Our work was motivated by a recent paper of Li et al., who applied a state space reduction method to this model, reducing the number of states from [Formula: see text] to [Formula: see text]. We show that their reduced Markov chains are inconsistent with the model of Xie et al.


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