A Foundation to Perception Computing, Logic and Automata

In this report, a novel approach to intelligence and learning is introduced; this approach is based upon what we called perception logic. What we call ‘perception automata’ is introduced in which learning is accomplished at different perception resolution. Learning in this automata is not heuristic, rather it guarantees the convergence of the approximated function to whatever precision required. Furthermore, the learning process can take place on-line and in at most O(log(N)) epochs, where N is the number of samples. The perception automata is based on hierarchal levels of resolution in which each level adds some details to the constructed function till the final level can successfully reconstruct the whole function. This approach combines the favors of computational approach in the sense that it is precise, structural and rigorous, and the features of distributed processing and adaptivity of soft computing, as well as continuity and real-time response of dynamical systems.