Geodesic
Realization of Boolean functions by nonrepetitive formulas
Diskretnaya Matematika, Tome 7 (1995) no. 3, pp. 61-68.

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We give a characterization of Boolean functions realized by formulae without repetitions in the basis $\{\cdot ,\lor, \oplus ,\bar{\space}\, \}$ and suggest an algorithm for finding such realizations. 
@article{DM_1995_7_3_a5,
     author = {N. A. Peryazev},
     title = {Realization of {Boolean} functions by nonrepetitive formulas},
     journal = {Diskretnaya Matematika},
     pages = {61--68},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1995_7_3_a5/}
}
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N. A. Peryazev. Realization of Boolean functions by nonrepetitive formulas. Diskretnaya Matematika, Tome 7 (1995) no. 3, pp. 61-68. http://geodesic.mathdoc.fr/item/DM_1995_7_3_a5/