Given initial states of variables and the Boolean expressions, can we obtain steady state of a Boolean network?

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I am working with Boolean network model. E.g. a 3-node network with nodes A, B and C. The equations involved are:
A = A & B;
B = A | C;
C = ~B;
The values of the variables for A, B and C are 0, 0 and 1 respectively. Is there a way to get the steady steate values (attractor) without simulating the network (executing equations)?

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