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The article deals with the main quantification methods of the system of checks and balances. Taking into account the main historical stages of the development of ideas concerning the functioning of the checks and balances system, on the basis of the comparative method, the main features of understanding the functioning of different aspects of checks and balances system by using mathematical methods are emphasized.

The article deals with the main historical stages of the formation of views on the checks and balances system. Taking into account the main historical stages of the development of ideas concerning the functioning of the checks and balances system, on the basis of the historical and comparative methods, the main features of understanding the separation of powers and functioning of the checks and balances system under the specific conditions of political and legal thought development are emphasized.