Cellular Automata with Anticipation

Recently some investigations on model of cellular automata (game 'Life') with anticipation ('LifeA') had been developed with accounting anticipatory properties, which indicate some interesting types of behavior of such cellular automata. One of new aspect is appearance of multiple solutions of cellular automata. The considering of such solutions follows to attempts of remembering and refreshing some concepts considered by D. M. Dubois, and collecting a list of some existing issues for further detailed considerations and implementation of such concepts, especially of hyperincursion.