Solving inequalities over finite state machines in the reactive systems design
Prikladnaâ diskretnaâ matematika, no. 3 (2010), pp. 100-110

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The problem of solving inequalities over finite state machines (FSMs) is considered. This problem arises in compositional approach to the design of reactive systems. The problem is formulated and solved at the level of FSMs specifications in the logical language $L$. We show how to compute the maximal solution to the inequality with respect to the operation of synchronous composition of FSMs.
Keywords: reactive system, language $L$ specification, $\Sigma$-automaton, inequality over $\Sigma$-automata
Mots-clés : synchronous composition of $\Sigma$-automata, maximal solution.
@article{PDM_2010_3_a9,
     author = {A. N. Chebotarev},
     title = {Solving inequalities over finite state machines in the reactive systems design},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {100--110},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2010_3_a9/}
}
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A. N. Chebotarev. Solving inequalities over finite state machines in the reactive systems design. Prikladnaâ diskretnaâ matematika, no. 3 (2010), pp. 100-110. http://geodesic.mathdoc.fr/item/PDM_2010_3_a9/