J. Berman and A. Kisielewicz, On the number of operations in a clone, Proc. Amer, pp.359-369, 1994.
DOI : 10.1090/S0002-9939-1994-1198450-9

M. Bouaziz, M. Couceiro, and M. Pouzet, Join-Irreducible Boolean Functions, Order, vol.149, issue.4, pp.261-282, 2010.
DOI : 10.1007/s11083-010-9175-z

URL : https://hal.archives-ouvertes.fr/hal-00849928

K. N. Cimev, On some properties of functions Finite Algebra and Multiple-Valued Logic, Abstracts of lectures of the colloquium on finite algebra and multiple-valued logic, pp.38-40, 1979.

K. N. Cimev, Separable Sets of Arguments of Functions, Studies Hungarian Academy of Sciences, vol.180, 1986.

M. Couceiro and E. Lehtonen, ON THE EFFECT OF VARIABLE IDENTIFICATION ON THE ESSENTIAL ARITY OF FUNCTIONS ON FINITE SETS, International Journal of Foundations of Computer Science, vol.18, issue.05, pp.975-986, 2007.
DOI : 10.1142/S012905410700508X

M. Couceiro and E. Lehtonen, Generalizations of´Swierczkowskiof´ of´Swierczkowski's lemma and the arity gap of finite functions, Discrete Math, pp.5905-5912, 2009.

M. Couceiro, E. Lehtonen, and T. Waldhauser, The arity gap of order-preserving functions and extensions of pseudo-Boolean functions, Discrete Applied Mathematics, vol.160, issue.4-5
DOI : 10.1016/j.dam.2011.07.024

URL : https://hal.archives-ouvertes.fr/hal-01090604

M. Couceiro, E. Lehtonen, and T. Waldhauser, Decompositions of functions based on arity gap, Discrete Mathematics, vol.312, issue.2
DOI : 10.1016/j.disc.2011.08.028

URL : https://hal.archives-ouvertes.fr/hal-01090606

M. Couceiro, E. Lehtonen, and T. Waldhauser, On the arity gap of polynomial functions

M. Couceiro and M. Pouzet, On a quasi-ordering on Boolean functions, Theoretical Computer Science, vol.396, issue.1-3, pp.71-87, 2008.
DOI : 10.1016/j.tcs.2008.01.025

R. O. Davies, Two Theorems on Essential Variables, Journal of the London Mathematical Society, vol.1, issue.1, pp.333-335, 1966.
DOI : 10.1112/jlms/s1-41.1.333

URL : http://jlms.oxfordjournals.org/cgi/content/short/s1-41/1/333

K. Denecke and J. Koppitz, Essential variables in hypersubstitutions, Algebra Universalis, vol.46, issue.4, pp.443-454, 2001.
DOI : 10.1007/PL00000353

A. Ehrenfeucht, J. Kahn, R. Maddux, and J. Mycielski, On the dependence of functions on their variables, Journal of Combinatorial Theory, Series A, vol.33, issue.1, pp.106-108, 1982.
DOI : 10.1016/0097-3165(82)90084-X

O. Ekin, S. Foldes, P. L. Hammer, and L. Hellerstein, Equational characterizations of Boolean function classes, Discrete Math, pp.27-51, 2000.

A. Feigelson and L. Hellerstein, The forbidden projections of unate functions, Discrete Applied Mathematics, vol.77, issue.3, pp.221-236, 1997.
DOI : 10.1016/S0166-218X(96)00136-9

K. Gilezan, Taylor formula of Boolean and pseudo-Boolean function, Zb. Rad. Prirod.-Mat. Fak. Ser. Mat, vol.25, issue.2, pp.141-149, 1995.

L. Hellerstein, On generalized constraints and certificates, Discrete Math, pp.211-232, 2001.
DOI : 10.1016/s0012-365x(00)00166-7

URL : http://doi.org/10.1016/s0012-365x(00)00166-7

E. Lehtonen, Descending Chains and Antichains of the Unary, Linear, and Monotone Subfunction Relations, Order, vol.149, issue.2-3, pp.129-142, 2006.
DOI : 10.1007/s11083-006-9036-y

E. Lehtonen and ´. A. Szendrei, Clones with finitely many relative $${\mathcal {R}}$$ -classes, Algebra universalis, vol.149, issue.2, pp.109-159, 2011.
DOI : 10.1007/s00012-011-0120-9

N. Pippenger, Galois theory for minors of finite functions, Discrete Math, pp.405-419, 2002.

A. Salomaa, On essential variables of functions, especially in the algebra of logic, Ann. Acad. Sci. Fenn. Ser. A I. Math, vol.339, pp.3-11, 1963.

M. Shattuck and T. Waldhauser, Proofs of some binomial identities using the method of last squares, Fibonacci Quart, pp.290-297, 2010.

S. Shtrakov, Essential arity gap of Boolean functions, Serdica J. Computing, vol.2, pp.249-266, 2008.

S. Shtrakov and J. Koppitz, On finite functions with non-trivial arity gap, Discuss, Math. Gen. Algebra Appl, vol.30, pp.217-245, 2010.

N. A. Solovjev, On the question of the essential dependence of functions of the algebra of logic, Problemy Kibernetiki, vol.9, pp.333-335, 1963.

C. Wang, Boolean minors, Discrete Math, pp.237-258, 1991.
DOI : 10.1016/0012-365x(93)e0191-6

URL : http://doi.org/10.1016/0012-365x(93)e0191-6

W. Wernick, An enumeration of logical functions, Bulletin of the American Mathematical Society, vol.45, issue.12, pp.885-887, 1939.
DOI : 10.1090/S0002-9904-1939-07109-7

R. Willard, Essential arities of term operations in finite algebras, Discrete Math, pp.239-259, 1996.

S. V. Yablonski, Functional constructions in a k-valued logic, Tr. Mat. Inst. Steklova, vol.51, pp.5-142, 1958.

I. E. Zverovich, Characterizations of closed classes of Boolean functions in terms of forbidden subfunctions and Post classes, Discrete Applied Mathematics, vol.149, issue.1-3, pp.200-218, 2005.
DOI : 10.1016/j.dam.2004.06.028