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References

[ABGG80] Aizenberg, N., Bovdi, A., Gergo, E. and Geche, F., Algebraic aspects of threshold logic, Cybernetics, 2 (16) (1980), 188-193.

[AQR99] Avedillo, M., Quintana, J. and Rueda, A., Threshold Logic, Wiley Encyclopedia of Electrical and Electronics Engineering, American Cancer Society (1999).

[Der65] Dertouzos, M., Threshold Logic: A Synthesis Approach, M.I.T. Press (1965).

[FSAJ06] Franco, L., Subirats, J., Anthony, M. and Jerez, J., A New Constructive Approach for Creating All Linearly Separable (Threshold) Functions, in The 2006 IEEE International Joint Conference on Neural Network Proceedings (2006), 4791--4796.

[Gec10] Geche, F., Analysis of Discrete Functions and Logical Schemes Synthesis in Neurobasis (in Ukrainian), Uzhhorod National University (2010).

[GMB17] Geche, F., Mulesa, O. and Buchok, V., Verification of realizability of boolean functions by a neural element with a threshold activation function, Eastern European Journal of Enterprise Technologies, 1 (2017), 30-40.

[GPR83] Geche, F., Polivko, V. and Robotishin, V., Realization of boolean functions using threshold elements, Kibernetika (Kiev) (6) (1983), 62--67.

[GVKB11] Gowda, T., Vrudhula, S., Kulkarni, N. and Berezowski, K., Identification of Threshold Functions and Synthesis of Threshold Networks, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 30 (2011), 665--677.

[Hor94] Horvath, E., Invariance groups of threshold functions, Acta Cybernetica, 11 (4) (1994), 325--332.

[HST16] Horvath, E., Seselja, B. and Tepavcevic, A., A note on lattice variant of thresholdness of Boolean functions, Miskolc Mathematical Notes, 17 (2016), 293--304.

[KYSV16] Kulkarni, N., Yang, J., Seo, J. and Vrudhula, S., Reducing Power, Leakage, and Area of Standard-Cell ASICs Using Threshold Logic Flip-Flops, IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 24 (9) (2016), 2873--2886.

[Lit88] Littlestone, N., Learning Quickly When Irrelevant Attributes Abound: A New Linear-Threshold Algorithm, Machine Learning, 2 (4) (1988), 285--318.

[MP43] Mcculloch, W. and Pitts, W., A Logical Calculus of Ideas Immanent in Nervous Activity, Bulletin of Mathematical Biophysics, 5 (1943), 115--133.

[Ros58] Rosenblatt, F., The Perceptron: A Probabilistic Model for Information Storage and Organization in The Brain, Psychological Review, 65 (6) (1958), 386--408.

[SJF08] Subirats, J., Jerez, J. and Franco, L., A New Decomposition Algorithm for Threshold Synthesis and Generalization of Boolean Functions, IEEE Transactions on Circuits and Systems I: Regular Papers, 55 (10) (2008), 3188--3196.

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