Geodesic
Complexity of realization of Boolean functions from some classes related to finite grammars by formulas of alternation depth~$3$
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 14-19

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The realization complexity of Boolean functions associated with finite grammars in the class of formulae of alternation depth 3 is studied. High accuracy asymptotic bounds are obtained for the corresponding Shannon function. 
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     author = {S. A. Lozhkin and V. A. Konovodov},
     title = {Complexity of realization of {Boolean} functions from some classes related to finite grammars by formulas of alternation depth~$3$},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {14--19},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a2/}
}
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S. A. Lozhkin; V. A. Konovodov. Complexity of realization of Boolean functions from some classes related to finite grammars by formulas of alternation depth~$3$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2014), pp. 14-19. http://geodesic.mathdoc.fr/item/VMUMM_2014_3_a2/