We introduce a dual memory architecture that, by way of computing conditioned-conditioned stimulus (CS-CS)associations and conditioned-unconditioned stimulus (CS-US)associations, is capable of computational cognitive mapping.The network is able to describe complex classical conditioning paradigms in which cognitive mapping is presumably involved such as blocking, overshadowing, sensory preconditioning, second-order conditioning, compound conditioning, serial compound conditioning, and sensory preconditioning. By assuming that limbic-cortical regions of the brain are involved in CS-CS associations, the network isable to describe several cognitive impairments that have been reported after limbic-cortical lesions.