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

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)?