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The problem of reachability of the states of transition systems is considered hereby. The notions of partial unfolding and permutability of two operators (including the notion of statically permutable operators) are presented. New algorithm for reachability problem in terms of insertion modeling is described. An example of application of such algorithm is… (More)

- Alexander A Letichevsky, Olexander A Letychevskyi, Vladimir S Peschanenko, Igor O Blynov, Dmitry M Klionov
- 2011

The paper relates to practical aspects of insertion model-ing. Insertion modeling system is an environment for the development of insertion machines, used to represent insertion models of distributed systems. The architecture of insertion machines and insertion modeling system IMS is presented. Insertion machine for constraint programming is specified as an… (More)

This paper is devoted to the whole problem of interleaving reduction in modeling of concurrent processes. The main notions of insertional modeling were described. The verification problem in terms of insertional modeling was examined. General algorithm of interleaving reduction in terms of insertional modeling was presented. A static and incremental… (More)

We present the technique that allows splitting first-order logic formu-lae into parts which helps to use the special algorithms of satisfiability checking and predicate transformer, which are the specializations. We describe the mathematical description of the algorithm of the constructing specializations and a few particular approaches to them, which speed… (More)

The main goal of the paper is finding of pre-and post-invariants for transitions between symbolic states in the system that must be verified and use them for verification purposes. Systems are specified by basic protocols [1]. This specification defines a transition system with transitions s → s where s and s are symbolic states, b is a basic protocol. The… (More)

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