Geodesic
The closure operator with the equality predicate branching on the set of partial Boolean functions
Diskretnaya Matematika, Tome 20 (2008) no. 3, pp. 80-88

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On the set $P_2^*$ of partial Boolean functions, we consider the closure operator with the equality predicate branching. We prove that each closed class with respect to this operator is generated in $P_2^*$ by the set of all its functions depending on at most two variables. In the paper, all maximal and submaximal classes in $P_2^*$ and all closed classes generated by one one-place or two-place function are presented. This research was supported by the Russian Foundation for Basis Research, grant 06–01–00438. 
@article{DM_2008_20_3_a7,
     author = {S. S. Marchenkov},
     title = {The closure operator with the equality predicate branching on the set of partial {Boolean} functions},
     journal = {Diskretnaya Matematika},
     pages = {80--88},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2008_20_3_a7/}
}
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S. S. Marchenkov. The closure operator with the equality predicate branching on the set of partial Boolean functions. Diskretnaya Matematika, Tome 20 (2008) no. 3, pp. 80-88. http://geodesic.mathdoc.fr/item/DM_2008_20_3_a7/