On the equivalence of the cube-product and the general product of automata
In this work it is shown that the general product is equivalent to the cube-product with respect to the isomorphic representation. Using this equivalence we characterize the homomorphically complete systems of automata with respect to the cube-product. Furthermore, several earlier results and new results are concluded as consequences of this equivalence. (C) 2000 Elsevier Science B.V. All rights reserved.
automata complete systems composition isomorphis representation