Geodesic
Clarification of the hierarchy of classes of boolean functions representable as a~k-OBDD branching program models
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 56-61

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We consider the well-known k-OBDD branching program model. We propose a technique representing computations in the k-OBDD model as a (described in this paper) automatic communication protocol. This protocol allows us to extend the Bolling–Sauerhoff–Sieling–Wegener hierarchy proved in 1996 for the k-OBDD with constraints on the width. For proving the hierarchy we state and justify a sufficient condition for non-representability of a Boolean function in the k-OBDD. Moreover, using the PJM function (a modification of well-known PJ and ISA functions), we prove a new hierarchy.
Keywords: branching program, OBDD, k-OBDD, complexity classes.
Mots-clés : communication protocol 
@article{IVM_2013_3_a5,
     author = {F. M. Ablayev and K. R. Khadiev},
     title = {Clarification of the hierarchy of classes of boolean functions representable as {a~k-OBDD} branching program models},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {56--61},
     publisher = {mathdoc},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_3_a5/}
}
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F. M. Ablayev; K. R. Khadiev. Clarification of the hierarchy of classes of boolean functions representable as a~k-OBDD branching program models. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2013), pp. 56-61. http://geodesic.mathdoc.fr/item/IVM_2013_3_a5/