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We consider forgetting automata, i.e., linear bounded automata which can only use the operations "move", "erase" (rewrite with a blank symbol) and "delete" (remove completely). A classification of the families of languages corresponding to the possible combinations of operations has been given in [1], here we address some of the problems left open. Furthermore the unary case is being investigated.
We investigate deterministic forgetting automata, i.e., deterministic linear bounded automata which can only use the operations 'move', 'erase' (rewrite with a blank symbol) and 'delete' (remove completely). We give a taxonomy of deterministic forgetting automata and draw comparisons to other kinds of automata (namely deterministic one-turn pushdown automata and one-way one-counter automata).